Question

AB and CD bisects each other at K. Prove that AC= BD

Answer 1

Answer:

Its easy

Step-by-step explanation:

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 and one angle between them equal in both the triangles.

Hence, ΔACK ≅ ΔDKB    ...(SAS)

Therefore, AC = BD     ...(CPCT)

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️

Click to let others know, how helpful is it

Read more on Brainly.in - https://brainly.in/question/6578671#readmore