Question

The two triangles below are similar.

What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2

Answer 1

It is 4:2

Since it is similar AB is double the size of AB' and BC is double the size of BC'. so 4:2 4 is double the size of 2.

Answer 2

4 : 2

Explanation:

We are given ΔABC ≅ ΔA'B'C'.

When two triangles are congruent, their corresponding sides and angles are congruent.

Since, the sides of the triangles are in relation,

AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.

Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.

Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.

Hence, the ratio of the corresponding sides is 4 : 2.