Question

Answer the questions to describe the transformations of figure ABCD.1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell. 2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain. 3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know? 4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.

Answer 1

1. From the picture, A'B'C'D' is a reflection of ABCD over the y-axis

2. From the picture, A"B"C"D" is a rotation of A'B'C'D'

3. Since A'B'C'D' and A''B''C''D'' are rigid transformations of ABCD, then ∠B' and ∠B'' are congruent with ∠B, that is, the measures of ∠B' and ∠B'' are 89°

4. Since A''B''C''D'' is a rigid transformation of ABCD, then the perimeter of A''B''C''D'' is the same as the perimeter of ABCD, which is 6 + 6 + 8 + 6.3 = 26.3