Grade 6 Transformation Composition Worksheet

Transformation Composition

Read each question carefully and follow the instructions to perform the specified transformations. Show all your work on the coordinate planes provided.

1. Plot the triangle with vertices A(1,1), B(4,1), and C(1,5) on the coordinate plane. Then, translate the triangle 3 units right and 2 units up. Label the new vertices A', B', C'.

What are the coordinates of A'?

2. Plot the rectangle with vertices D(2,2), E(6,2), F(6,4), and G(2,4) on the coordinate plane. Then, reflect the rectangle across the y-axis. Label the new vertices D', E', F', G'.

What are the coordinates of D'?

3. Plot the point P(3,4) on the coordinate plane. Then, rotate point P 90 degrees clockwise around the origin. Label the new point P'.

What are the coordinates of P'?

4. Plot the square with vertices H(1,1), I(3,1), J(3,3), and K(1,3) on the coordinate plane. First, translate the square 2 units left and 1 unit down. Label the new vertices H', I', J', K'. Then, reflect H'I'J'K' across the x-axis. Label the final vertices H'', I'', J'', K''.

What are the coordinates of H''?

5. Which transformation does NOT change the size or shape of a figure?

6. A   is a transformation that slides a figure from one position to another without turning it.

7. When a figure is reflected across the x-axis, the   coordinates change sign.

8. A rotation of 180 degrees clockwise around the origin is the same as a rotation of 180 degrees counter-clockwise around the origin.