Question

Look at the figure below:

Make a two-column proof showing statements and reasons to prove that triangle NMT is similar to triangle PMN. (10 points)

Answer 1

Explanation:

Given:

m∠NPT = m∠TNM = 50°

To prove:

ΔNMT ~ ΔPMN

Solution:

Statements Reasons

1). m∠NPT = m∠TNM 1). Given

2). ∠NMP ≅ ∠NMP 2). Reflexive property

3). ΔNMT ~ ΔPMN 3). By AA property of similarity of two

triangles