Question

_____ congruent figures are similar but the converse is _______.

• A. None, true
• B. All, true
• C. None, false
• D. All, false

Answer 1

The correct option is D All, false

All congruent figures are similar but all similar figures are not congruent.

For eg. A pair of triangles which are similar by $A.A.A.$ test of similarity are not congruent pairs of triangles since the definite lengths of sides are unknown.

In $△ABC$ and $△DEF$, $\angle A=\angle D={50}^o$, $\angle B=\angle E={75}^o$ and $\angle C=\angle F={55}^o$.

Hence, $△ABC\sim △DEF$ but they are not congruent.