Question

SAS theorm solve completly​

Answer 1

Step-by-step explanation:

SAS RULE

two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle.

Proof :

In the given figure OA = OB and OD = OC.

Show that

(i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC.

SAS congruence Rule

Solution :

(i) You may note that in triangle AOD and triangle BOC,

Given data are: OA = OB and OC = OD

Also, ∠AOD and ∠BOC form a pair of vertically opposite angles, we may write as

∠AOD = ∠BOC.

So, we get ∆ AOD ≅ ∆ BOC (Using the SAS congruence rule)

(ii) In congruent triangles, AOD and BOC, the corresponding parts of the triangle sides are also equal.

So, we get ∠ OAD = ∠ OBC and these conditions form a pair of alternate angles for line segments AD and BC.

Therefore, the sides AD || BC.

Hence, proved.