8. find the congruence transformation that maps ∆abc to ∆a’b’c’. explain your reasoning

Reflection across y axis.

Step-by-step explanation:

From the given picture, it can be seen that  ∆A’B’C’ is the mirror image of   ∆ABC.

Thus the transformation used here is reflection.

Since, the y coordinate of the corresponding vertices of both the triangles are exactly same . But the polarity of x coordinates changes.

It implies that all the corresponding points of both the triangles area equidistant from the y axis.

i.i. the line of reflection = y axis.

Hence, the  used here is "Reflection across y axis".

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step-by-step explanation: