Lesson 5

Coordinate Moves

View Student Lesson

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

For access, consult one of our IM Certified Partners.

Problem 2

Describe a sequence of transformations that takes trapezoid A to trapezoid B.

Quadrilateral A and its image quadrilateral B are trapezoids.

Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 4.)

Problem 3

Reflect polygon \(P\) using line \(\ell\).

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

Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 3.)