Question

for each pair of figures below, choose how they are related.
options for each pair:
○ translation
○ reflection
○ rotation
○ none of these

Explanation:

First Pair (Leftmost)

Step1: Analyze transformation types

Translation: same orientation, slide. Reflection: mirror image. Rotation: turn around point.
The first pair: one figure turned (rotated) to get the other, not slide (translation) or mirror (reflection).

Step2: Identify correct option

So the relationship is Rotation.

Second Pair (Second from Left)

Step1: Analyze transformation types

Translation: slide without orientation change. Reflection: mirror. Rotation: turn.
The second pair: one figure slid (translated) to get the other, same orientation, no reflection/rotation.

Step2: Identify correct option

So the relationship is Translation.

Third Pair (Third from Left)

Step1: Analyze transformation types

Translation: slide. Reflection: mirror image (like flipping over vertical/horizontal axis). Rotation: turn.
The third pair: one figure is mirror image of the other (reflection), not translation/rotation.

Step2: Identify correct option

So the relationship is Reflection.

Fourth Pair (Rightmost)

Answer:

s:

1. Rotation
2. Translation
3. Reflection
4. Rotation