Question

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Answer 1

Step-by-step explanation:

Triangle ABC is cingurant to Triangle PQR

triangle PQR is congruent to Triangle MNO

Answer 2

TO PROVE:

• All triangles are congruent

SOLUTION:

In ∆ ABC and ∆ MNO

$\large : \implies \: \: \tt AB=MN (Given)$

$\large \tt :\implies \: \: \angle ABC = \angle MNO \: (Given)$

$\large \tt :\implies \: \: BC = NO \: (Given)$

$\tt So \: ∆\: ABC \: is \: congruent \: to \: ∆ \: MNO....(1)$

(By SAS)

In ∆MNO and ∆PQR

$\large \tt : \implies \: \: \angle MNO= \angle PQR \: (given)$

$\large \tt : \implies \: \: \angle NMO= \angle QPR\: (given)$

$\large \tt : \implies \: \: MO= PR\: (given)$

$\tt So \: ∆\: MNO \: is \: congruent \: to \: ∆ \:PQR....(2)$

(By AAS)

From equation 1 and 2

∆ABC and ∆PQR are congruent to ∆MNO