Lesson 4

Coordinate Moves

Problem 1

  1. Here are some points.
    Points \(A\), \(B\) and \(C\) on a coordinate plane, origin \(O\).

    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’.

  2. Here are some points.
    Points \(D\), \(E\) and \(F\) on a coordinate plane, origin \(O\).

    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’.

  3. Here are some points.
    Points \(G\), \(H\) and \(I\) on a coordinate plane, origin \(O\).

    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.

Solution

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(From Unit 1, Lesson 3.)

Problem 3

Reflect polygon P using line \ell.

Polygon P and dashed line \(l\) on a grid.

Solution

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(From Unit 1, Lesson 3.)