Question

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

• A. XY = AB, YZ = BC and ZX = CA
• B. Corresponding angles are equal
• C. Both the triangles can overlap
• D. $\text{Area of}\Delta \text{ABC}\ne \text{Area of}\Delta \text{XYZ}$

Answer 1

The correct option is D $\text{Area of}\Delta \text{ABC}\ne \text{Area of}\Delta \text{XYZ}$

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