Question

which of these triangle pairs can be mapped to each other using a single reflection?

Explanation:

Step1: Recall Reflection Properties

A reflection is a rigid transformation, so the two triangles must be congruent (same shape and size) and their corresponding parts (sides, angles) must match. Also, a reflection should map one triangle to the other across a line of symmetry, so the triangles should be mirror images.

Step2: Analyze Each Option

• First Image (Top): Triangles seem not to have matching congruent parts or mirror symmetry.
• Second Image (Middle): Triangles \( \triangle EFG \) and \( \triangle LFG \) (or similar) have marked congruent sides (tick marks) and angles (arcs), suggesting congruence. The shared side \( FG \) could be the line of reflection, making them mirror images.
• Third Image (Third from Top): Triangles don't appear to be mirror images with a single reflection.
• Fourth Image (Bottom): Triangles don't show congruent parts or mirror symmetry for a single reflection.

Answer:

The Middle Graph (the second triangle pair image)