Question

in the figure shown, which composition of rigid transformations will map one triangle onto the other? a. a glide reflection b. a reflection followed by a translation c. two translations d. a rotation followed by a translation

Explanation:

To determine the composition of rigid transformations mapping one triangle to the other, we analyze each option:

• Option A: A glide reflection involves a reflection and a translation. But the triangles' orientation suggests a rotation first might be better.
• Option B: A reflection followed by a translation doesn't align with the triangles' orientation change.
• Option C: Two translations can't change orientation, which is needed here.
• Option D: First, a rotation can align the triangles' orientation (matching angles and sides), then a translation can move one to the other's position. This fits the rigid transformations (rotation and translation are both rigid).

Answer:

D. a rotation followed by a translation