Question: A triangle △PQR with vertices P(1,1), Q(3,4), and R(5,1) undergoes the following transformations: 1. Reflect across the x-axis, 2. Rotate 180° about the origin. After these transformations, a student claims the final image is not congruent to the original triangle because “the shape looks different.”. Which statement best explains whether the student is correct?
A) The student is correct because rotation and reflection distort the original triangle.
B) The student is incorrect because both transformations are rigid motions and preserve shape and size.
C) The student is correct because a 180° rotation reverses the shape.
D) The student is incorrect because reflection alone guarantees congruence, but not rotation.
Correct answer: B
Grade: 8 | Topic: Geometry | Difficulty: Hard | Standard: 8. G. A. 1