Question

for each pair of figures below, choose how they are related.
1.
○ translation
○ reflection
○ rotation
○ none of these
2.
○ translation
○ reflection
○ rotation
○ none of these
3.
○ translation
○ reflection
○ rotation
○ none of these
4.
○ translation
○ reflection
○ rotation
○ none of these

Explanation:

Step1: Analyze first figure pair

The two triangles have the same shape, but one is scaled up (enlarged) while the other is smaller; this is a dilation, which is not translation, reflection, or rotation.

Step2: Analyze second figure pair

The two arrow-shaped figures are identical in shape, size, and orientation; they are just shifted (slid) without flipping or rotating.

Step3: Analyze third figure pair

The two figures are identical in shape, size, and orientation; they are just shifted (slid) without flipping or rotating.

Step4: Analyze fourth figure pair

The two figures have the same shape and size, but one is rotated relative to the other (the second figure is turned compared to the first).

Answer:

1. None of these
2. Translation
3. Translation
4. Rotation