Question

for each pair of figures below, choose how they are related.

Explanation:

Step1: Analyze first - pair

The first - pair of figures are mirror images of each other. A reflection is a transformation that flips a figure across a line of reflection. Here, the left - facing arrow in the first figure is the mirror image of the right - facing arrow in the second figure. So, it is a reflection.

Step2: Analyze second - pair

The second - pair of figures have the same shape and orientation, but one is shifted horizontally compared to the other. A translation is a transformation that moves every point of a figure the same distance in the same direction. So, it is a translation.

Step3: Analyze third - pair

The third - pair of figures have the same shape but one is rotated with respect to the other. A rotation is a transformation that turns a figure around a fixed point. So, it is a rotation.

Step4: Analyze fourth - pair

The fourth - pair of figures have the same shape and orientation, and one is shifted vertically compared to the other. This is a translation.

Answer:

First pair: Reflection
Second pair: Translation
Third pair: Rotation
Fourth pair: Translation