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: $\overline{MN}\cong\overline{QR}$

$\angle{M}\cong\angle{Q}$

$\overline{MF}\cong\overline{QH}$

Step-by-step 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 :-

$\overline{MN}\cong\overline{QR}$

$\angle{M}\cong\angle{Q}$

$\overline{MF}\cong\overline{QH}$