Question

1. select all the sequences of transformations that could take figure p to figure q.

a. a single reflection
b. a single rotation
c. a single translation
d. a translation, then a reflection
e. a reflection, then a different reflection

Explanation:

Step1: Analyze single - reflection

A single reflection across the y - axis can map Figure P to Figure Q as the orientation and position can be achieved this way.

Step2: Analyze single - rotation

There is no single rotation (90 - degree, 180 - degree, 270 - degree etc.) about the origin or any other point that can map Figure P to Figure Q.

Step3: Analyze single - translation

A single translation will only move Figure P without changing its orientation, so it cannot map Figure P to Figure Q.

Step4: Analyze translation then reflection

A translation can first move Figure P to a position and then a reflection can change its orientation to match Figure Q.

Step5: Analyze two different reflections

Two different reflections can also achieve the mapping from Figure P to Figure Q.

Answer:

a. A single reflection
d. A translation, then a reflection
e. A reflection, then a different reflection