△GHJ∼△MNP Which statements are true? Select each correct answer. A.) m∠J=m∠P B.) GJMP=GHMN C.) ∠H≅∠N D.) HJ¯¯¯¯¯≅NP¯¯¯¯¯¯ E.) GH=MN

Question

asked May 2, 2018 129k views

2 Answers

Ilayaraja · Answer 1 · 2018-05-07T23:59:36+0000

Answer:

The correct options are :

$\bf B.) (GJ)/(MP)=(GH)/(MN)$

C.) ∠H≅∠N

Explanation:

By using the property of similarity of triangles, We get

The corresponding sides of the similar triangles are proportional to each other and the corresponding angles are congruent to each other.

So, given △GHJ∼△MNP

$\implies (GH)/(MN)=(HJ)/(NP)=(GJ)/(MP)\text{ , and}\\\\\angle G\cong \angle M,\:\:\angle H\cong\angle N ,\:\: \angle J\cong\angle P......(1)$

The given options are :

A.) m∠J=m∠P

B.) (GJ)/(MP)=(GH)/(MN)

C.) ∠H≅∠N

D.) HJ ≅ NP

E.) GH=MN

Now, From equation (1)

The correct options are :

$\bf B.) (GJ)/(MP)=(GH)/(MN)$

C.) ∠H≅∠N