Geometry

Question Analysis:
This question involves how translations affect triangle congruence.
The main focus is understanding that a translation does not affect the triangle's shape or size.

Key Concept Explanation:
A translation moves all points of a figure in the same direction and distance.
It is a rigid transformation, so the pre-image and image are congruent.

Step-by-Step Solution:
Translation: 5 units right and 2 units up — all points move equally.
No rotation, reflection, resizing — only position changes.
Since translations are rigid motions, ΔXYZ and ΔX'Y'Z' are congruent.

Option Analysis:
A. Correct – Translations maintain congruence.
B. Incorrect – “Similar” means same shape bu...