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QUESTION IMAGE

choose the correct graph below. a. b. c. d.

Question

choose the correct graph below.
a.
b.
c.
d.

Explanation:

Step1: Analyze Reflection Axis

The red line is \( x = -1 \) (vertical line). For a reflection over \( x = -1 \), the distance from each point to \( x = -1 \) should be equal on both sides.

Step2: Check Point Positions

  • For point \( G \) (and its image \( G' \)): Calculate horizontal distance to \( x = -1 \). In correct reflection, \( G \) and \( G' \) should be equidistant from \( x = -1 \).
  • For triangle vertices, verify symmetry over \( x = -1 \). Option B shows correct symmetry (equal horizontal distances from \( x = -1 \) for corresponding points).

Answer:

B. The graph labeled B