Question

If $\Delta \text{XYZ}$ and $\Delta \text{ABC}$ are congruent, then which of the following is true?

• A. XY = AB, YZ = BC and ZX = AC
• B. Both the triangles can overlap
• C. Area($\Delta \text{ABC})$ = Area($\Delta \text{XYZ})$
• D. All of the above.

Answer 1

The correct option is D All of the above.

The corresponding angles and corresponding sides are equal in congruent triangles.
Since the congruent triangles have the same shape and size, they overlap. Hence, the areas of both triangles are equal.