Question

Which statement best explains the relationship between Triangle KLM and Triangle ONM?

Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4

Answer 1

As the Line KL is Parallel to NO and We can Notice that LN and KO are the Transversals to these Parallel Lines :

Angle 1 = Angle 5 (Because they are Alternate Interior Angles)

Angle 3 = Angle 4 (Because they are Vertically Opposite Angles)

Angle 2 = Angle 6 (Because they are Alternate Interior Angles)

As All the Three angles of KLM are Equal to All Three angles of ONM , We can Conclude that Triangle KLM is Similar to that of Triangle ONM

Note : Triangle KLM is not Congruent to Triangle ONM because Triangle KLM Size is Smaller than Triangle ONM

So the Answer is :

Triangle KLM is similar to Triangle ONM because measure of Angle 3 Equals measure of Angle 4 and Measure of Angle 1 equals measure of Angle 5

First Statement Best explains the Relationship between Triangle KLM and Triangle ONM