DETERMINE WHETHER THE TRIANGLES ARE SIMILAR

Write whether each pair of triangles are similar.

Problem 1 :

Solution :

(1) = (2) = (3)

AB/PQ = BC/QR = CA/RP = 1/2

By using Side – Side – Side theorem,

Since corresponding the sides are in the same ratio, triangles ABC and PQR similar.

Problem 2 :

Solution :

AB/PQ = BC/QR = CA/RP = 3/2

Since, corresponding the sides are in the same ratio.

So, ∠ABC and ∠PQR similar.

Problem 3 :

Solution :

Since the corresponding sides are not same, triangles ∠ABC and ∠PQR not similar.

Problem 4 :

Solution :

AB/PQ = BC/QR = CA/RP = 1/3

Since the corresponding the sides are in the same ratio triangles ABC and PQR are similar.

Problem 5 :

Solution :

AB/PQ = BC/QR = CA/RP = 2

Since, corresponding the sides are in the same ratio.

So, ∠ABC and ∠PQR similar.

Problem 6 :

Solution :

Since corresponding the sides are not in the same ratio, triangles ABC and PQR not similar.

Problem 7 :

Solution :

Since corresponding the sides are not in the same ratio, triangles ABC and PQR not similar.

Problem 8 :

Solution :

Triangles ABC and PQR are not similar.