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jeka94
3 years ago
9

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

∠R≅∠F ∠N≅∠M QH¯¯¯¯¯¯≅MF¯¯¯¯¯¯
Mathematics
2 answers:
Arada [10]3 years ago
8 0
<span>△FMN ≅ △HQR
so
MF </span>≅<span>  QH
MN </span>≅<span> QR
NF  </span>≅<span> RH
and
</span><span>∠F ≅ ∠H 
∠M ≅ ∠Q
∠N ≅ ∠R
</span><span>
Answer
</span>MN ≅ QR
∠M ≅ ∠Q
<span>QH ≅ MF</span>
devlian [24]3 years ago
6 0

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}

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