Question

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answer 1

Correct answers (three):

- △XYZ ~ △X'Y'Z' (reflection + dilation produces a similar triangle)
- Angle XZY ≅ Angle Y'Z'X' (angles are preserved)
- XZ = 2X'Z' (lengths are scaled by 1/2, so original = 2 × image)

The other two are false: segment lengths are halved (so YX ≄ Y'X') and angle measures are unchanged (not doubled).