Lesson 5
Coordinate Moves
Problem 1
- Here are some points.
What are the coordinates of \(A\), \(B\), and \(C\) after a translation to the right by 4 units and up 1 unit? Plot these points on the grid, and label them \(A’\), \(B’\) and \(C’\).
- Here are some points.
What are the coordinates of \(D\), \(E\), and \(F\) after a reflection over the \(y\) axis? Plot these points on the grid, and label them \(D’\), \(E’\) and \(F’\).
- Here are some points.
What are the coordinates of \(G\), \(H\), and \(I\) after a rotation about \((0,0)\) by 90 degrees clockwise? Plot these points on the grid, and label them \(G’\), \(H’\) and \(I’\).
Solution
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Problem 2
Describe a sequence of transformations that takes trapezoid A to trapezoid B.
![Quadrilateral A and its image quadrilateral B are trapezoids.](https://cms-im.s3.amazonaws.com/kQ1ZXZfyTcPd7XbuacnNzX1D?response-content-disposition=inline%3B%20filename%3D%228-8.1.A4.newPP.01.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A4.newPP.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172513Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f3478d3fd4b47543108e3e77874394a58c70bc925e92dfea9f41e6af6a469c0e)
Solution
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(From Unit 1, Lesson 4.)Problem 3
Reflect polygon \(P\) using line \(\ell\).
![Polygon P and dashed line \(l\) on a grid.](https://cms-im.s3.amazonaws.com/bvDUYetEnp5pNr6XF7pXaa2k?response-content-disposition=inline%3B%20filename%3D%228-8.1.A3.newPP.02.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A3.newPP.02.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172513Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9a60fed4949bf750990043566f76a8a6375a347f4c56f90f0b542f7162d37dbc)
Solution
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(From Unit 1, Lesson 3.)