Question

1. In Fig. 8.36, AB and CD bisect each other at K.
Prove that AC = BD.
K
B
С
Fig. 8.36​

Answer 1

Answer:

Hey dear here is your answer!!!!!

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We would be using the concept of Congruency to solve this question.

Firstly, let's note down the information provided to us:-

AB and CD bisect each other.

Now, Join AC and BD so that they form two triangles.

 In Triangles ACK and KBD:-  

AK = KB ( AB and CD bisect each other)

CK = KD ( AB and CD bisect each other)

∠CKA = ∠DKB (Vertically Opposite Angles)

Here, we have 2 sides and one angle between them equal in both the triangles.

Hence, ΔACK ≅ ΔDKB    ...(SAS)  

Therefore, AC = BD     ...(CPCT)

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️