Question

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

(first figure pair: two arrow - like figures)

• translation
• reflection
• rotation
• none of these

(second figure pair: two l - like figures)

• translation
• reflection
• rotation
• none of these

(third figure pair: two irregular - like figures)

• translation
• reflection
• rotation
• none of these

(fourth figure pair: two arrow - like figures)

• translation
• reflection
• rotation
• none of these

Explanation:

Step1: Analyze First Pair

The first pair of arrow - like figures: One figure can be moved (without rotation or reflection) to match the other. So this is a translation.

Step2: Analyze Second Pair

The second pair of L - shaped figures: One figure can be moved (without rotation or reflection) to match the other. So this is a translation.

Step3: Analyze Third Pair

The third pair of figures: The orientation of the figures has changed in a way that suggests a rotation (the figures seem to be rotated relative to each other, not just translated or reflected).

Step4: Analyze Fourth Pair

The fourth pair of arrow - like figures: One figure is a mirror image of the other (if we imagine a vertical line of reflection, the figures would match). So this is a reflection.

Answer:

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