Question

unit 4 transformations > lesson 9 compositions of transformations determine the congruence transformation used on △abc that resulted in △def. (1 point) △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. △abc was rotated - 180 (clockwise) or 180 (counterclockwise), then shifted 2 units to the right and 2 units up.

Explanation:

Step1: Analyze rotation

Observe the orientation of the triangles. A 180 - degree (clockwise or counter - clockwise) rotation changes the orientation of the triangle.

Step2: Analyze translation

After rotation, the triangle is shifted 2 units to the right and 2 units up to match the position of $\triangle DEF$.

Answer:

$\triangle ABC$ was rotated $- 180^{\circ}$ (clockwise) or $180^{\circ}$ (counter - clockwise), then shifted 2 units to the right and 2 units up.