Question

A triangle is rotated through ${180}^{\circ }$ and then reflected through a vertical mirror. Then the mirror image hence obtained is congruent to the initially taken triangle.

• A. True
• B. False

Answer 1

The correct option is A

True

We first note that the rotations and reflections of any polygon do not change its shape and size.

Also, we know that two polygons are congruent if they are of the same size and shape - that is, if their corresponding angles and sides are equal.

Therefore when a triangle is rotated through ${180}^{\circ }$ and then reflected through a vertical mirror, its shape and size remain the same all through.

Hence the final triangle obtained will be congruent to the triangle initially taken.

Therefore the given statement is true.