Question

name: teneigh williamson
2 a sequence of transformations maps rectangle abcd onto rectangle abcd, as shown in the diagram below.
which sequence of transformations maps abcd onto abcd and then maps abcd onto abcd?

1. a reflection followed by a rotation
2. a reflection followed by a translation
3. a translation followed by a reflection
4. a translation followed by a rotation

Explanation:

Step1: Analyze ABCD to A'B'C'D'

We can observe that rectangle ABCD moves horizontally and vertically to get to A'B'C'D'. This is a translation.

Step2: Analyze A'B'C'D' to A''B''C''D''

A'B'C'D' is flipped over a line (the y - axis in this case). This is a reflection.

Answer:

1. a translation followed by a reflection