Question

The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal.
Which statement best describes the relationship between triangle A and triangle B?

A.The triangles are similar but not congruent
B.The triangles are congruent but not similar.
C.The triangles are both similar and congruent
D.The triangles are neither similar nor congruent.

Answer 1

A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.