Question

1. in the diagram below, congruent figures 1, 2, and 3 are drawn. which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3? a) a reflection followed by a translation b) a translation followed by a reflection c) a translation followed by a rotation d) a rotation followed by a translation

Explanation:

Step1: Analyze the transformation from figure 1 to figure 2

• Figure 1 and figure 2 are mirror - images of each other with respect to the y - axis. A reflection over the y - axis is a type of reflection transformation.

Step2: Analyze the transformation from figure 2 to figure 3

• Figure 3 is obtained by moving figure 2 down and to the right. Moving a figure without rotation or reflection is a translation transformation.

Answer:

A. a reflection followed by a translation