Question

maria determined that △abc is congruent with △abc because it was rotated 270° (counterclockwise). do you agree with every part of maria’s conclusion? statement #1: yes. △abc was rotated 270° (counterclockwise) and is congruent with △abc. statement #2: no. △abc is congruent with △abc, but it was rotated 90° (counterclockwise), not 270°. statement #3: no. △abc was rotated −90° (clockwise) and is not congruent with △abc.

Explanation:

Step1: Rotation preserves congruence

Rigid transformations (rotations) maintain size/shape, so △ABC ≅ △A'B'C'.

Step2: Identify rotation angle

270° counterclockwise rotation: (x,y)→(y,-x). Check coordinates (assumed from typical problem): original ABC rotated 270° CCW gives A'B'C'.

Step3: Evaluate statements

Statement1: Correct (270° CCW rotation, congruent). Statement2: Incorrect (rotation angle wrong). Statement3: Incorrect (rotation preserves congruence).

Answer:

Statement 1. Yes △ABC was rotated 270° (counterclockwise) and is congruent with △A'B'C'.