The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conclusion is true about the triangles?

Question

A). The ratio of their corresponding sides is 1:2. 

B).The ratio of their corresponding angles is 1:2. 

C).They are similar by the definition of similarity in terms of a dilation. 

D).They are congruent by the definition of congruence in terms of rigid motions.

Answer 1

The easiest way to answer this question is to graph the points.

When you do you will immediately see that the 2 triangles are similar isosceles triangles with

ratio of sides 3:1.