Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing ab?

A reflection creates an image that is as far behind from the reflecting line as the preimage is in front of the line

The triangle pair that can be mapped to each other using both translation and reflection across line containing AB is the first triangle pair

Please see the attached diagram

Reason:

First triangle pair;

Second triangle pair;

Third triangle pair;

Fourth triangle pair;

Therefore, the correct option is the first triangle pair figure;

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Only the first pair can be so mapped

Step-by-step explanation:

Reflection across AB and translation will leave the segment corresponding to AB having the same "north-south" (vertical) orientation. The reflection will reverse the clockwise ordering of corresponding vertices.

- selection 2: segment AY is not vertical

- selection 3: the ordering of the vertices is unchanged, not reversed

- selection 4: segment XY is not vertical

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