6.3 Leap Frog A Solidify Understanding Task
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1 1 6.3 Leap Frog Solidify Understanding Task Josh is animating a scene where a troupe of frogs is auditioning for the nimal Channel reality show, "The Bayou's Got Talent". In this scene the frogs are demonstrating their "leap frog" acrobatics act. Josh has completed a few key images in this segment, and now needs to describe the transformations that connect various images in the scene. For each pre image/image combination listed below, describe the transformation that moves the pre image to the final image. 2012http://openclipart.org/detail/33781/architetto If you decide the transformation is a rotation, you will need to give the center of rotation, the direction of the rotation (clockwise or counterclockwise), and the measure of the angle of rotation. If you decide the transformation is a reflection, you will need to give the equation of the line of reflection. If you decide the transformation is a translation you will need to describe the "rise" and "run" between pre image points and their corresponding image points. If you decide it takes a combination of transformations to get from the pre image to the final image, describe each transformation in the order they would be completed. Pre image Final Image Description image 1 image 2 image 2 image 3 image 3 image 4 image 1 image image 2 image Mathematics Vision Project MVP Licensed under the Creative Commons ttribution NonCommercial Sharelike 3.0 Unported license. Congruence, Construction, and Proof 1
2 16 images this page: Mathematics Vision Project MVP Licensed under the Creative Commons ttribution NonCommercial Sharelike 3.0 Unported license. Congruence, Construction, and Proof 16
3 17 Ready, Set, Go! Ready Topic: Basic Rotations and Reflections of objects 2012http://openclipart.org/detail/33781/architetto In each problem there will be a preimage and several images based on the give preimage. Determine which of the images are rotations of the given preimage and which of them are reflections of the preimage. If an image appears to be created as the result of a rotation and a reflection then state both. 1. Pre-Image Image Image B Image C Image D 2. Image B Image D Pre-Image Image Image C Licensed under the Creative Commons ttribution-noncommercial-sharelike 3.0 Unported license. Congruence, Construction, and Proof 17
4 18 Set Topic: Reflecting and Rotating points On each of the coordinate grids there is a labeled point and line. Use the line as a line of reflection to reflect the given point and create its reflected image over the line of reflection m B k Reflect point over line m and label the image Reflect point B over line k and label the image B. 6. l m D C Reflect point C over line l and label the image C Reflect point D over line m and label the image D For each pair of point, P and P draw in the line of reflection that would need to be used to reflect P onto P. Then find the equation of the line of reflection P P' P P' Licensed under the Creative Commons ttribution-noncommercial-sharelike 3.0 Unported license. Congruence, Construction, and Proof 18
5 19 For each pair of point, and draw in the line of reflection that would need to be used to reflect onto. Then find the equation of the line of reflection. lso, draw a line connecting to and find the equation of this line. Compare the slopes of the lines of reflection containing and ' ' Go Topic: Slopes of parallel and perpendicular lines and finding both distance and slope between two points. For each linear equation write the slope of a line parallel to the given line For each linear equation write the slope of a line perpendicular to the given line Find the slope between each pair of points. Then, using the Pythagorean Theorem, find the distance between each pair of points. You may use the graph to help you as needed. 17. (-2, -3) (1, 1) 18. (-7, ) ( -2, -7) 19. (2, -4) (3, 0) Licensed under the Creative Commons ttribution-noncommercial-sharelike 3.0 Unported license. Congruence, Construction, and Proof 19
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