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 these

Answer 1

The correct option is D

All of these

In congruent triangles the corresponding angles and corresponding sides are equal. Since, the congruent triangles have same shape and size, they overlap. Hence, the area of both the triangles is equal.