Question

Suppose △FMN≅△HQR . Which congruency statements are true? Select each correct answer. NF¯¯¯¯¯¯≅HQ¯¯¯¯¯¯ MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯ ∠M≅∠Q ∠R≅∠F ∠N≅∠M QH¯¯¯¯¯¯≅MF¯¯¯¯¯¯

Answer 1

△FMN ≅ △HQR
so
MF ≅ QH
MN ≅ QR
NF ≅ RH
and
∠F ≅ ∠H
∠M ≅ ∠Q
∠N ≅ ∠R

Answer
MN ≅ QR
∠M ≅ ∠Q
QH ≅ MF

Answer 2

Answer:
`\overline{MN}\cong\overline{QR}`

`\angle{M}\cong\angle{Q}`

`\overline{MF}\cong\overline{QH}`

Explanation:

We know that if two triangles are congruent , then the corresponding angles and sides are congruent by CPCTC.

Given:
`\triangle {FMN}\cong\triangle{HQR}`

Therefore , the corresponding angles and sides of
`\triangle {FMN}\text{ and }\triangle{HQR}` are congruent.

∠F corresponds ∠H

∠M corresponds ∠Q

∠N corresponds ∠R

⇒ ∠F ≅ ∠H

∠M ≅ ∠Q

∠N ≅ ∠R

`\overline{MF}\cong\overline{QH}\\\overline{MN}\cong\overline{QR}\\\overlien{FN}\cong\overline{HR}`

So , from the given options, the true congruency statements are :-

`\overline{MN}\cong\overline{QR}`

`\angle{M}\cong\angle{Q}`

`\overline{MF}\cong\overline{QH}`