Question

Show that triangle AMP ≅ triangle AMQ​

Answer 1

$\large \tt \blue {❐ \: ➺ \: Question:- }$

Prove that ∆AMP ≅ ∆AMQ.

$\large \tt \blue {❐ \: ➺ \: Solution:-}$

Given :-

• PM = QM
• <AMP = <AMQ

To prove :-

We have to prove that ∆AMP ≅ ∆AMQ.

Proof :-

In ∆AMP and ∆AMQ,

• PM = QM [Given]
• <AMP = <AMQ [Given]
• AM = AM [Common side]

$\underline {\boxed {\tt \pink {\therefore \: By \: SAS \: rule, \triangle AMP≅\triangle AMQ.}}}$

• ❐ ➺ AP = AQ [CPCT]

$\large \tt \blue {❐ \: ➺ \: Know \: more:-}$

The different types of congruence rules are :-

• SSS rule [Side Side Side rule]
• SAS rule [Side Angle Side rule]
• AAS rule [Angle Angle Side rule]
• RHS rule [Right angle Hypotenuse Side rule]

________________________________

@Sita05✨