Question

∆ABC and ∆XYZ are in the figure.If AB=XY and BC=YZ then which third condition is required to prove that two triangles are congruent by SAS congruency rule?​

Answer 1

Answer:

You have to prove any angle of two triangle must be equal

In Triangle ABC and Triangle XYZ

If Angle BAC = Angle YXZ

Then the triangle are equal by SAS Congruency rule

Answer 2

Solution :-

We know that, for SAS congruency rule ,

• Two sides of ∆'s are equal and angle between these equal sides is also equal then both ∆'s are congruent by SAS congruence rule .

So, in ∆ABC and ∆XYZ we have,

→ AB = XY { given }

→ BC = YZ { given }

then, angles between these equal sides must be also equal for SAS congruence rule .

therefore,

→ ∠ABC = ∠XYZ

hence,

→ ∆ABC ≅ ∆XYZ { By SAS congruence rule. }

Learn more :-

In the figure ∠ MNP = 90°, ∠ MQN = 90°, , MQ = 12 , QP = 3 then find NQ .

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