Question

You have to show that ΔAMP≅ΔAMQ.
In the following proof, supply the missing reasons.
Steps
(i) PM=QM
(ii) ∠PMA≅∠QMA
(iii) AM=AM
(iv) ΔAMP≅ΔAMQ

Answer 1

AP = AQ (Tringle AMP=~ Tringle AMQ)

Answer 2

Given that,

Two triangle ΔAMP and ΔAMQ.

To find,

In the following proof, supply the missing reasons.

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.