Question

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

Explanation:

Step1: Check for translation

Translation is moving a figure without rotation or reflection. In the first - pair, the figure's orientation has changed, so it's not a translation. In the second - pair, the figures are in the same orientation and one is just shifted, so it's a translation. In the third - pair, the orientation has changed, so it's not a translation. In the fourth - pair, the orientation has changed, so it's not a translation.

Step2: Check for reflection

Reflection is flipping a figure over a line. In the first - pair, it's not a reflection. In the third - pair, it's not a reflection. In the fourth - pair, it's not a reflection.

Step3: Check for rotation

Rotation is turning a figure around a point. In the first - pair, it's a rotation. In the third - pair, it's a rotation. In the fourth - pair, it's a rotation.

Answer:

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