Question

Determine if the triangles, ABC and RPQ, are similar. If so, identify the similarity criterion.


A) AA similarity

B) SAS similarity

C) SSS similarity

D) NOT similar

Answer 1

Answer:

THE CORRECT OPTION IS C) SSS similarity

Step-by-step explanation:

In the triangle RPQ and ABC ,

Given data:-

RP = 6 inches , RQ =  4 inches , QP = 8 inches

BC = 4 inches , AC = 2 inches , AB = 3 inches .

By using the "SSS" (side , side , side) rules of similarity .

$\dfrac{PQ}{BC} = \dfrac{RP}{AB} = \dfrac{RQ}{AC}$

$\dfrac{8}{4} =\dfrac{6}{3} =\dfrac{4}{2} = \dfrac{1}{2}$

All these ratios are equal , hence these two triangles are similar.

SSS :- If two triangles have three pairs of side in the same ratio.