Question

A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is reflected across the line of reflection c to form trapezoid E double-prime F double-prime G double-prime H double-prime.

The first transformation for this composition is [________], and the second transformation is a reflection across line c.

a 180° rotation about point G
a 180° rotation about point H
a translation down and to the left
a translation up and to the right

Answer 1

The first transformation in the composition is **a translation down and to the left**.

This is because trapezoid EFGH is described as being shifted down and to the left to form trapezoid E'F'G'H'. The second transformation is the reflection across line c, as stated in the problem. Thus, the correct answer for the first transformation is that it is a translation down and to the left.