△GHJ∼△MNP Which statements are true? Select each correct answer.A.) m∠J=m∠PB.) GJMP=GHMNC.) ∠H≅∠ND.) HJ¯¯¯¯¯≅NP¯¯¯¯¯¯E.) GH=MN
Accepted Solution
A:
Answer: The correct options are :[tex]\bf B.) \frac{GJ}{MP}=\frac{GH}{MN}[/tex]C.) ∠H≅∠NStep-by-step explanation:By using the property of similarity of triangles, We getThe corresponding sides of the similar triangles are proportional to each other and the corresponding angles are congruent to each other.So, given △GHJ∼△MNP [tex]\implies \frac{GH}{MN}=\frac{HJ}{NP}=\frac{GJ}{MP}\text{ , and}\\\\\angle G\cong \angle M,\:\:\angle H\cong\angle N ,\:\: \angle J\cong\angle P......(1)[/tex]The given options are :A.) m∠J=m∠P[tex]B.) \frac{GJ}{MP}=\frac{GH}{MN}[/tex]C.) ∠H≅∠ND.) HJ ≅ NPE.) GH=MNNow, From equation (1) The correct options are :[tex]\bf B.) \frac{GJ}{MP}=\frac{GH}{MN}[/tex]C.) ∠H≅∠N