Question

if angle ABC is congruent to angle AMQ then apply the missing reason​

Answer 1

Step-by-step explanation:

Steps Reasons

(i) PM=QM (i) Given

(ii) ∠PMA=∠QMA (ii) Given

(iii) AM=AM (iii) Common

(iv) ΔAMP≡ΔAMQ (iv) SAS congruence rule

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

if angle ABC is congruent to angle AMQ then apply the missing reason

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

ΔAMP is congruent to ΔAMQ  beacuse of SAS criterion. SAS is side-angle-side.

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

Given that,

Two triangle ΔAMP and ΔAMQ.

$\sf \bf {\boxed {\mathbb {To find }}}$

In the following proof, supply the missing reasons.

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

(i) PM=QM

It is given in the figure that PM=QM

(ii) ∠PMA=∠QMA

It is also shown in the figure that ∠PMA=∠QMA

(iii) AM=AM

It can be seen from the figure that AM is common in ΔAMP and ΔAMQ.

(iv) ΔAMP≅ΔAMQ

ΔAMP is congruent to ΔAMQ  beacuse of SAS criterion. SAS is side-angle-side.

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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