Transformation Composition Worksheet

Transformation Composition Practice

Follow the instructions for each section carefully. Show all your work when necessary.

1. Which of the following is NOT a rigid transformation?

2. A composition of two reflections over parallel lines is equivalent to a single  .

1. A composition of transformations means performing one transformation and then applying another transformation to the   image.

2. When reflecting a figure over the x-axis, the x-coordinate remains the same, and the y-coordinate becomes its  .

3. A rotation of 180 degrees about the origin changes the coordinates (x, y) to  .

1. Describe the steps to perform a translation of a point (x, y) by (a, b) followed by a reflection over the y-axis.

Consider triangle ABC with vertices A(1, 2), B(4, 2), and C(1, 5).

1. Plot triangle ABC on the coordinate plane below.

2. Perform a translation of triangle ABC by the rule (x+2, y-3) to get A'B'C'. Plot and label A'B'C'.

3. Now, reflect A'B'C' over the x-axis to get A''B''C''. Plot and label A''B''C''.

4. Write the coordinates of A'', B'', and C''.

A'' =  

B'' =  

C'' =