Question

AB=AC, D IS THE MIDPOINT. PROVE THAT;
(i)triangle ADB P ~ TRIANGLE ADV
note: ~ this meant by congruent
(ii) \_ B = \_ C
note: \_ is meant by angle

Answer 1

Please refer the above photograph for the used process.



KEY POINTS TO REMEMBER :-


☸️ SSS Congruency Criteria (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent.



☸️ CPCT :- Corresponding Parts Of Congruent Triangle.

Under this - All the parts of a triangle are equal if the triangles are congruent.
This is what is called as corresponding parts of congruent triangles or CPCT.



☸️ Few other Congruency Criteria :-



1⃣ASA (Angle-Side-Angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 


2⃣AAS (Angle-Angle-Side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent


3⃣RHS (Right-angle-Hypotenuse-Side) : If two right-angled triangles have their hypotenuses equal in length, and a pair of shorter sides are equal in length, then the triangles are congruent.



Thanks!