Rotations of Shapes Date_____ Period____ Graph the image of the figure using the transformation given. 1) rotation 180° about the origin x y J Q H 2) rotation 90° counterclockwise about the origin x y S B L 3) rotation 90° clockwise about the origin x y M B F H 4) rotation 180° about the origin x y U H F 5) rotation 90° clockwise about the ...Default behavior. Specify ndarray to be rotated as the first argument of numpy.rot90 (). The array rotates 90 degrees counterclockwise. numpy.rot90 () returns a view. Because a view shares memory with the original array, changing one value changes the other. If you want to process as separate data, use copy ().a 180 degree rotation about the origin and then a translation 3 units up and 1 unit left 2. a translation 3 units up and 1 unit left and then a 180 degree rotation about the origin 3. a 90 degree clockwise rotation about the origin and then a reflection over the y-axis 4. a 90 degree counterclockwise rotation about the origin and then a ...Author: Gina Buran. Drag the vertices of the pentagon to create the pre image you want to rotate. Choose the angle of rotation (90, 180 or 270 degrees counterclockwise) by using the circular slider. Drag the vertices of the Polygon MNOKL to shoe the image of the rotation. …A 90-degree counterclockwise rotation about the origin followed by a translation 2 units left A 270-degree counterclockwise rotation about the origin followed by a translation 2 units to the right A translation 2 units down followed by a 90-degree counterclockwise rotation about the origin A translation 2 units down followed by a 270-degree ...270 Degree Rotation. When rotating a point 270 degrees counterclockwise about the origin our point A (x,y) becomes A' (y,-x). This means, we switch x and y and make x negative. 270 Counterclockwise Rotation. Common Rotations About the Origin.180 DEGREE ROTATION ABOUT THE ORIGIN. When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure. Before Rotation. (x, y) After Rotation. (-x, -y) Example 1 :This also means that a 270-degree clockwise rotation is equivalent to a counterclockwise rotation of 90 degrees. Topics related to the Rotations. Dilation.Answer: option B. Step-by-step explanation: A rotation is shown in the drawing in which figure x has been rotated by an angle to form figure x' Since figure x has been shown to rotate in the clock-wise direction so rotation is clock wise.. If we consider figure x on y axis on a graph then we find the figure x has been rotated by 90 + 180° = 270°. So the figure x' lies on x axis after the ...Statement be describes the rotation is C. Counterclockwise 90-degree rotation.. A counterclockwise 90-degree rotation is a geometric transformation that involves rotating an object or shape in the opposite direction to the clockwise rotation around a fixed point by an angle of 90 degrees.This rotation turns each point of the …That is why rotation is identified as clockwise or counterclockwise. When you say clockwise, the movement of the rotation is the same as the movement of the clock hands. What is the formula for a 270 degree rotation? The equation is y = x + 2 and they are perpendicular lines. A rotation of 270 degrees means that you turn 3/4 of the way around a ...Before we go ahead and explain, please note that 90 degrees counterclockwise and 270 degrees clockwise are the same things and you need to use the same formula for both. What is the Formula to find out 90 degrees Counterclockwise rotations. We swap the value of x and y and negate the value of y. First, we need to understand what a rotation of 270 degrees counterclockwise means. It means that the point will move in a circular path around the origin (0,0) for 270 degrees in a counterclockwise direction. The general rule for a rotation of a point (x,y) around the origin by 270 degrees counterclockwise is (-y, x).Intestinal malrotation is a clinical entity that encompasses partial to complete failure of the 270 degrees' counterclockwise rotation of the midgut around the superior mesenteric vessels in the fetal life . Its incidence is one in every 200 - 500 newborns . The incidence of symptomatic cases is one in 6,000 newborns . Presentation in adults ...There is no difference between 90-degree Clockwise Rotation and 270-degree counter clockwise rotation. The are the same thing and you will use the same formula ...A rotation of 270 degrees counter-clockwise is equivalent to a rotation of 90 degrees clockwise. To perform a 90-degree clockwise rotation, you can swap the x and y coordinates of each point and then change the sign of the new y-coordinate. Given the range (3,-4), (1, -1), (6, -7), after the rotation the new coordinates will correspond to: ...Top answer: The transformation in the diagram is a 90° counterclockwise rotation about the origin. Read more. Directions - Rotate the point according to each direction; name the new coordinates: Starting Point" (2,3) 90 Rotation Clockwise=. Top answer: 90 Rotation Clockwise = (-3, 2) 180 Rotation Clockwise = (-2, -3) 270 Rotation Clockwise ...Step-by-step explanation: Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [ 90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:6 days ago · For example, a clockwise rotation of 90 degrees is (y, -x), while a counterclockwise rotation of 90 degrees is (-y,x). This also means that a 270-degree clockwise rotation is equivalent to a counterclockwise …The interchange in the location of the x and y-values, and the placement . of the negative sign indicate a 90° clockwise rotation.. Response: 90° clockwise rotation; Which formula can be used to know the correct transformation? The given coordinates of the point is; K(24, -15). The image of the point K is K'(-15, -24), which represents a ...Which degree of rotation is equivalent to a 90 degree clockwise rotation? A.)270 degree counterclockwise rotation B.)270 degree clockwise rotation C.)180 degree counterclockwise rotation D.)180 degree clockwise rotation. star. 4/5. heart. 4The most common rotations are usually 90°, 180° and 270°. The clockwise rotation usually is indicated by the negative sign on magnitude. So the cooperative anticlockwise implies positive sign magnitude.There are specific clockwise and the anticlockwise rotation rules and we can figure out the coordinate plane by the following table: Statement be describes the rotation is C. Counterclockwise 90-degree rotation.. A counterclockwise 90-degree rotation is a geometric transformation that involves rotating an object or shape in the opposite direction to the clockwise rotation around a fixed point by an angle of 90 degrees.This rotation turns each point of the …This video explains what the transformation matrix is to rotate 90 degrees anticlockwise (or 270 degrees clockwise) about the origin.The rigid transformation that best maps the rotation from the point P(x, y) = (9, - 1) to the point P'(x, y) = (- 9, 1) is a clockwise/counterclockwise rotation of 180 degrees.. How to determine a rotation by linear algebra. In Euclidean geometry rigid transformations are transformations applied on geometric loci such that its Euclidean distances in every of …A. A 90-degree counterclockwise rotation about the origin followed by a translation 2 units left B. A 270-degree counterclockwise rotation about the origin followed by a translation 2 units to the right C. A translation 2 units down followed by a 90-degree counterclockwise rotation about the origin D.Dec 3, 2022 · Triangle PQR after 270° counter-clockwise rotation has coordinates P'(-8,13) Q'(-2,7) R'(-7,6) What is 270° counter-clockwise rotation? When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y, -x). This means, we switch x and y and make x negative. A 270 degree rotation would bring the shape to a quadrant near it, instead of across from it. So this gives you the answer of a counterclockwise rotation of 180 degrees about the origin. So this gives you the answer of a counterclockwise rotation of 180 degrees about the origin.The point (8, -3) undergoes a 90-degree counterclockwise rotation about the origin, resulting in the new coordinates (3, 8) for the rotated image.. Rotating a point (x, y) counterclockwise about the origin by 90 degrees involves swapping the x and y coordinates and changing the sign of the new x-coordinate. For the given point (8, -3), the rotated point (x', y') is obtained as follows:In Mathematics, specifically in the study of geometry, a rotation is a transformation that moves a figure around a fixed point, in this case the origin (0,0), by a certain degree. When you perform a 270 degrees counterclockwise rotation about the origin on the point (4,-8), the rule of thumb is to change the sign of the y-coordinate and swap ...In reversed rotation of the midgut, the primary intestinal loop undergoes the initial 90-degree counterclockwise normally, but the second 180-degree rotation occurs clockwise instead of counterclockwise. The net rotation of the midgut is thus 90 degree clockwise, rather than 270 degree counterclockwise.Answer: [1, 1] Step-by-step explanation: Translation → [-1, 3] moves down to [-1, 1] Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y ...A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin ... I hold my find on the dot and I counter clockwise to 270 degrees its not directly on the shape so I move it 1 time and it ends up the ...Apr 28, 2016 ... 270 Degree Rotation About the Origin [Silent Solution]. 3.7K views · 7 years ago ...more. Dane Ehlert. 2.37K. Subscribe.If the first car of a ferris wheel is located at the point (0, 40) on a coordinate plane and undergoes a rotation of 270 degrees counterclockwise about the origin, the new coordinates of the first car can be determined by applying a rotation transformation. To perform a 270-degree counterclockwise rotation, we rotate the point 90 degrees clockwise.The point (3,5) is mapped onto blank when rotated 270 counterclockwise about the origin gives the coordinates as ( 5 , -3 ).. Therefore, the correct answer is A. ( 5 , -3 ). Given data: The angle of rotation is a unit used to describe how much a figure is rotated about its center.In most cases, the rotational angle is expressed in degrees.We define a rotation's degree measurement and direction.October 9, 2023 by GEGCalculators. A 90-degree angle rotation involves turning an object or point counterclockwise by 90 degrees. This results in a right angle, where two lines or line segments meet to form an "L" shape. It's a common geometric transformation used in mathematics and graphics to change the orientation of objects or points ...May 26, 2021 ... The most common rotation angles are 90 degrees, 180 degrees, and 270 degrees. Direction of Rotation: Counterclockwise or clockwise direction.Step 1. Identify the center of rotation. Origin (0,0) Different Point (xc,yc) Step 2. Identify the original points. original points = (x1,y1),(x2,y2),...,(xn,yn) Step 3. Identify the angle and direction of the rotation. Direction: Angle of Rotation: Step 4. Identify the formula that matches the rotation. When we rotate 90∘ counterclockwise:Discover how to rotate elements with transform using Tailwind CSS. Learn how to customize the rotate scale, apply animations, and adjust the hue of your elements. Explore the rotate utilities and create stunning effects with Tailwind CSS.Rotation 270° counterclockwise around the origin would then turn the square another 90 degrees to the left. This would give us a square that is rotated 270 degrees to the left, but it is not the red square. Therefore, the correct transformation is option B. Rotation 180° counterclockwise around the origin, and then reflection across the y-axis.A 270 ccw rotation is the EXACT same as a 90 cw rotation. So to perform a 90 degree cw rotation all that has to be done is swap the x anf y coordinates and change the sign on the y. As a general form: (x, y) becomes (y, -x) In your problem R is at (3, 6) so swap the 3 and 6 to get (6, 3) now change the sign on the 3 to get R' as (6, -3)What is the image of 1 -6 after a 180 degree counterclockwise rotation about the origin? A 180° rotation is half a rotation and it doesn't matter if it is clockwise of counter clockwise. When rotating 180° about the origin, the x-coordinate and y-coordinates change sign Thus (1, -6) → (-1, 6) after rotating 180° around the origin.There is also another rule for a 270-degree clockwise rotation. A point 𝐴 with coordinate 𝑥, 𝑦 will become 𝐴 prime where the 𝑥-coordinate is the negative 𝑦 original value and the 𝑦-coordinate is the original 𝑥-value. This rule can also be applied to a 90-degree counterclockwise rotation.Oct 30, 2022 · Draw a 270-degree rotation: To rotate the figure 270 degrees counterclockwise, draw a new figure that has each point of the original figure rotated 270 degrees counterclockwise around the center of rotation. Measure the new position: Measure the new position of each point in the rotated figure to compare it with the original. Answer: Note the location of Point C', the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.This video reviews how to perform 90 degree rotations (clockwise and counterclockwise) around the origin.Purchase Transformations Workbook at the following l...When rotating a figure 270 ° 270\degree 270° clockwise about the origin, each of the figure's points (x, y) (x,y) (x, y) rotates by 270 ° 270\degree 270° clockwise and its coordinates become (see Figure (1) (1) (1):Subtract the point, rotate around origin, add the point back: Given any point p =[x y] p = [ x y] and a center of rotation c = [a b] c = [ a b] we can construct the vector d = p − c d → = p − c which is the vector that goes from p p to c c. Then we can create a rotation matrix T =[cosθ sinθ − sinθ cosθ] T = [ cos θ − sin θ sin ...A) A translation 1 unit to the right followed by a 90 degrees counterclockwise rotation about the origin b) A translation 1 unit to the right followed by a 270 degrees counterclockwise rotation about the origin c) A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the rightFind an answer to your question !00 points HELP!!!!! Missy's rotation maps point K(17, -12) to K'(12, 17). Which describes the rotation? 270° counterclockwise…Many of our calculators provide detailed, step-by-step solutions. This will help you better understand the concepts that interest you. eMathHelp: free math calculator - solves algebra, geometry, calculus, statistics, linear algebra, and linear programming problems step by step.Rotations that are positive (e.g. 90˚) go counterclockwise, while negative rotations (e.g. -54˚) go clockwise. When looking at a graph and measuring rotations, a center point is normally given. That is the center of rotation, or in simpler words, everything spins around that point. I hope this helps.(4 points) a A 90-degree counterclockwise rotation about the origin followed by a translation 2 units left b A 270-degree counterclockwise rotation about the origin followed by a translation 2 units to the right c A translation 2 units down followed by a 90-degree counterclockwise rotation about the origin d A translation 2 units down followed ...Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise? (x,y)→(y, -x)Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin. Rotation is counterclockwise about origin. We are given coordinate . We can see in diagram also. Please see the attachment for rotation. Hence, (2,-3) changes to (3,2)Sep 3, 2014 ... Common Core Math: Geometric Rotations 270 Counter-Clockwise.Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise? answered by GhostGirl; 26 days ago; 0; 0; To find the new point after rotating the figure 90 degrees counterclockwise, we need to switch the sign of the x-coordinate and swap the x and y coordinates. Jan 29, 2018 · Rotate 270 degrees counterclockwise. Rotate the point (3,5) 270 degrees counterclockwise. Then give the coordinates. Follow • 2. Add comment. Suppose \vec F (x,y) = (3x - 3y) \vec i + 4x \vec j and C is the counter-clockwise oriented sector of a circle centered at the origin with radius 3 and central angle \pi/4. Use Green's theorem to calc; Segment AB is rotated 270 degrees about point K. Show newly rotated segment AB.The final statement is : The vertices of the triangle underwent the following transformation: A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin. what is the Cartesian coordinate system? A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of …The direction of rotation can be clockwise or counterclockwise. In this case, an image and its pre-image have the same shape and size, but the pre-image may be turned in different directions. We can rotate shapes on the coordinate \(90, 180,\) or \(270\) degrees counterclockwise around the origin using three basic rules:Oct 30, 2022 · Draw a 270-degree rotation: To rotate the figure 270 degrees counterclockwise, draw a new figure that has each point of the original figure rotated 270 degrees counterclockwise around the center of rotation. Measure the new position: Measure the new position of each point in the rotated figure to compare it with the original. B: A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin C: A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left D: A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin (Sorry if its hard to understand)A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin90 degree counterclockwise rotations of a triangle version. Save Copy. Log InorSign Up. this is designed to help you rotate a triangle by 90 degrees counterclockwise, 180 degrees counterclockwise, 270 degrees counterclockwise 1. a x = 0. 2. a y = 3. 3. b x = 4. 4. b y = 5. 5. c x = 3. 6. c y = − 3. 7. 22. powered by. powered by "x" x "y" y "a ...Apr 28, 2022 · The direction of a clock is clockwise. Past the 1, then 2, then 3 etc. Or past the 90 degree, then 180, then 270 degree marks. The opposite direction of clockwise is anticlockwise or counterclockwise (both words mean the same). If you apply the term clockwise to hurricanes or other circular-motion phenomena, it is a movement analogous to clock ... Answer: Note the location of Point C', the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.Sep 3, 2014 ... Common Core Math: Geometric Rotations 270 Counter-Clockwise.90° counterclockwise rotation 90° clockwise rotation. loading. See answers. loading. Ask AI. loading. ... Since signing is changed when we rotate a point to 180 degrees. So here 9 became -9 and -1 became 1, which provides us the clue that its 180° rotation. ... Eliminate rotating it 180° clockwise. rotating it 90° counterclockwise ...Using the Rotation Calculator is a straightforward process: Input the original coordinates: Enter the initial x and y coordinates of the point you want to rotate. Specify the rotation angle: Enter the angle of rotation in radians. Keep in mind that positive angles correspond to counterclockwise rotation. Calculate the new coordinates: The ... It's being rotated around the origin (0,0) by 60 degrees. So if originally point P is right over here and we're rotating by positive 60 degrees, so that means we go counter clockwise by 60 degrees. So this looks like about 60 degrees right over here. One way to …algebraic expression for 90 degree clockwise rotation about the origin. (x,y) → (-x,-y) algebraic expression for 180 degree clockwise rotation about the origin. (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin. equals a 270 degree counterclockwise rotation. 90 degree clockwise rotation.Rotation of 270° (Clockwise) (x, y) (-y, x) ... We can find the clockwise and anticlockwise rotational points by the rotation calculator counterclockwise. Are the rotations and revolutions the same? Yes, both terms are the same and synonymous. It should be clear to us that one revolution is equal to 360 degrees. The rotations around any given degree …Normal rotation is defined as a 270-degree counterclockwise rotation of the intestines around the superior mesenteric artery (SMA) axis. The stomach resides above and anterior to the SMA. Progressing along the intestinal tract, the second part of the duodenum lies to the right of the SMA, while the third part of the duodenum is posterior to the ...Learn how to rotate figures about the origin 90 degrees, 180 degrees, or 270 degrees using this easier method. We discuss how to find the new coordinates of...Top answer: To rotate a point on a coordinate plane 270 degrees counterclockwise, you can swap the x and y Read more. 90 and 270 degree rotations Quick check What is the point when you rotate a geometric figure with point (5,8) 207°. Top answer: To find the point after a 207° counterclockwise rotation about the origin, you can use the ...For a rotation of 180 degrees (a,b) becomes... (-a,-b) For a rotation of 270 degrees (a,b) becomes...Copy. Output Image. 3. Rotate image by 90 degrees. You can rotate an image by 90 degrees in counter clockwise direction by providing the angle=90. We also give expand=True, so that the rotated image adjusts to the size of output. from PIL import Image # Read the image im = Image.open("sample-image.png") # Rotate image by 90 degrees angle = 90 ...
"A translation of 1 unit to the left after a 270 degree counterclockwise revolution about the origin" Triangles vertices given and finding its image rotation: Triangle ABC's vertices (A(4,-2), B(3,-2), and C) are the Preimage's vertices (3,-5). Nan xiang express photos
What is the image of the point (4, 0) after a rotation of 90 counterclockwise about the origin. Holt Mcdougal Larson Pre-algebra: Student Edition 2012. 1st Edition. ISBN: 9780547587776.Translation along vector (-3, 1 Rotation 360 degrees about the origin Rotation 270 degrees counterclockwise about the origin. heart. 1. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer. star. 4.8/5.Your question was not arbitrary rotation, but 'Rotate Opencv Matrix by 90, 180, 270 degrees'. UPDATE 30 JUN 2017: This functionality is supported by OpenCV, but not documented: ... ROTATE_90_CLOCKWISE = 0, //Rotate 90 degrees clockwise ROTATE_180 = 1, //Rotate 180 degrees clockwise ROTATE_90_COUNTERCLOCKWISE = 2, //Rotate 270 degrees clockwise };Transformation involves changing the position of a shape.. The transformation that would not return a shape to its original position is: . Rotate counterclockwise around center C, ; Rotate counterclockwise around C again (a) Translate 3 units up, then 3 units down. Up and down translations are direct opposite translations.; An upward movement by 3 units would be cancelled by a downward ...Intestinal malrotation is a clinical entity that encompasses partial to complete failure of the 270 degrees' counterclockwise rotation of the midgut around the superior mesenteric vessels in the fetal life . Its incidence is one in every 200 - 500 newborns . The incidence of symptomatic cases is one in 6,000 newborns . Presentation in adults ...This video explains what the transformation matrix is to rotate 90 degrees anticlockwise (or 270 degrees clockwise) about the origin.90 degree counterclockwise rotations of a triangle version. Save Copy. Log InorSign Up. this is designed to help you rotate a triangle by 90 degrees counterclockwise, 180 degrees counterclockwise, 270 degrees counterclockwise 1. a x = 0. 2. a y = 3. 3. b x = 4. 4. b y = 5. 5. c x = 3. 6. c y = − 3. 7. 22. powered by. powered by "x" x "y" y "a ...Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction. How to rotate the triangle PQR? The coordinates of the triangle are given as:. P = (-10,15) Q = (-20,5) R = (-10,5) The rule of rotation 270° counterclockwise around the origin is. So, we have: P' = (15,10) Q' = (5,20) R' = (5,10) Next, we plot the image of the triangleDec 17, 2019 ... ROTATIONS (rotating a shape 270 degrees clockwise about a point on the shape) · 90 Degree Counter Clock Wise Rotation About Any Arbitrary Point.May 26, 2021 ... The most common rotation angles are 90 degrees, 180 degrees, and 270 degrees. Direction of Rotation: Counterclockwise or clockwise direction.Top answer: To find the image of M after a 270-degree counterclockwise rotation about the origin, we can apply Read more. A quadrilateral with vertices G(-10,1), E(-6,-4), O(2,0), and M(0,4) is rotated about the origin 270 degrees (counterclockwise). Top answer: To rotate a point (x, y) counterclockwise about the origin by a certain angle, we can use …Feb 13, 2023 · Counterclockwise 270 degrees rotation of a point. We will understand the concept with the help of example. Consider the below point A located at coordinates (2, 3). We have to rotate the point A by 270 …This is point P. It's being rotated around the origin (0,0) by 60 degrees. So if originally point P is right over here and we're rotating by positive 60 degrees, so that means we go counter clockwise by 60 degrees. So this looks like …Suppose \vec F (x,y) = (3x - 3y) \vec i + 4x \vec j and C is the counter-clockwise oriented sector of a circle centered at the origin with radius 3 and central angle \pi/4. Use Green's theorem to calc; Segment AB is rotated 270 degrees about point K. Show newly rotated segment AB.Study with Quizlet and memorize flashcards containing terms like What is the image of the point (9, 3) 90 degrees counterclockwise about the origin?, What is the image of the point (-9, -3) after a rotation of 90 degrees counterclockwise about the origin?, What is the image of the point (9, -3) after a rotation of 270 degrees counterclockwise about the origin? and more.In our case, the point (-1,-1) will rotate to (-1, 1) Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-. which are the coordinates of ΔA'B'C'. Hence, the set of transformations is performed on triangle ABC to form triangle A'B'C' is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b). I hope this helps! Edit: I'm sorry about the confusion with my original message above. Here is the clearer version:If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b). I hope this helps! Edit: I'm sorry about the confusion with my original message above. Here is the clearer version:.
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