Question

All congruent figures are similar figures and vice-versa.

• A. True
• B. False

Answer 1

The correct option is B

False

Similar triangles have the same shape, but may have proportional sizes. Two triangles are similar if two pairs of their corresponding angles are congruent (therefore, the third pair of corresponding angles will also be congruent). Therefore, all the three pairs of corresponding sides are proportional (By AAA property).

All congruent figures have the same area and same length of the sides or angles while similar figures have an area proportional to the square of their corresponding side. Congruent triangles are similar but similar triangles need not be congruent. Hence, the statement is incorrect.