Question

compositions of transformations quick check use the image to answer the question determine the congruence transformation used on △abc that resulted in △def (1 point) △abc was rotated - 180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up △abc was shifted 2 units to the left and 2 units up, then reflected across the y - axis △abc was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise) △abc was reflected across the y - axis, then shifted 2 units to the right and 2 units up

Explanation:

Step1: Analyze rotation

Observe the orientation change. Rotating 180° flips the triangle upside - down and changes its orientation.

Step2: Analyze translation

Count the horizontal and vertical displacements. Moving from the rotated position of △ABC to △DEF, it moves 2 units right and 2 units up.

Answer:

A. △ABC was rotated 180° (clockwise or counter - clockwise), then shifted 2 units to the right and 2 units up