Question

lesson 10 practice problems

1. here are 4 triangles that have each been transformed by a different transformation.

which transformation is not a rigid transformation?
a. image of triangle transformation
b. image of triangle transformation
c. image of triangle transformation
d. image of triangle transformation

Explanation:

Step1: Recall rigid transformation

Rigid transformations (translation, rotation, reflection) preserve side lengths and angles, so the image is congruent to the original. Non - rigid transformations (like dilation) change side lengths.

Step2: Analyze each option

• Option A: Looks like a translation (slide), which is rigid (congruent triangles).
• Option B: Looks like a rotation or translation, triangles seem congruent (rigid).
• Option C: Looks like a rotation, triangles seem congruent (rigid).
• Option D: The triangle \(A'B'C'\) appears larger than \(ABC\), suggesting a dilation (non - rigid, as it changes size, so side lengths are not preserved).

Answer:

D