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:

Step1: Analyze each option

• Option A: A glide reflection is a combination of a reflection and a translation parallel to the line of reflection. But looking at the triangles, this is not the case.
• Option B: A reflection followed by a translation - if we just reflect, the orientation won't match after translation in a simple way for these triangles.
• Option C: Two translations just move the figure without changing orientation in the way shown.
• Option D: First, rotate the triangle (to get the orientation right) and then translate (to move it to the correct position).

Answer:

D. a rotation followed by a translation