Question

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complete the statement.
a sequence of transformations that maps △abc to △abc is a
followed by a
reflection across the y - axis
rotation of 180° about the origin
translation 2 units right

Explanation:

Step1: Analyze the orientation change

First, observe that the triangle's orientation changes in a way that a reflection across the y - axis flips the triangle from the left - hand side of the y - axis to a position where further transformation can be applied.

Step2: Analyze the final position

After the reflection, a rotation of 180° about the origin changes the orientation and position to match $\triangle A'B'C'$. A translation 2 units right is not sufficient to map the triangle as required.

Answer:

reflection across the y - axis, rotation of 180° about the origin