Question

△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

Answer 1

A.

B.

C.

Explanation:

I took the test and was just missing one and it was A!

Answer 2

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