Question

Choose the correct options about the congruency.

• A. Two squares of side 5 cm each and one of them rotated through ${45}^{\circ }$ are congruent.
• B. Any two right angled triangles with hypotenuse 7 cm are congruent.
• C. Any two circles of radii 8 cm each are congruent.
• D. Two equilateral triangles of side 6 cm each but labeled as $\Delta ABC$ and $\Delta DEF$ are not congruent.

Answer 1

Answer: (A), (C)

The correct options are
A Two squares of side 5 cm each and one of them rotated through ${45}^{\circ }$ are congruent.
C Any two circles of radii 8 cm each are congruent.

1. Since squares have same side length, they are congruent. Their different orientation after flip, rotate or slide does not affect the congruency.
2. For two right angles to be congruent, hypotuense and a side must be same.
3. Two circles are congruent if their radii are same.
4. Two equilateral triangles of equal length are congruent.