Maths-

General

Easy

Question

# Explain how you can prove BC = DC

Hint:

### Find the congruence rule used and then find the equal sides.

## The correct answer is: ⇒ BC = DC (corresponding parts of congruent triangles)

### Complete step by step solution:

Consider 2 triangles, and

From the figure, we have

AB = AD (given)

∠ BAC = ∠ DAC (given)

Also, AC = AC (common side)

∴ △ABC ⩭ △ADC by SAS congruence rule.

⇒ BC = DC (corresponding parts of congruent triangles)

AB = AD (given)

∠ BAC = ∠ DAC (given)

Also, AC = AC (common side)

∴ △ABC ⩭ △ADC by SAS congruence rule.

⇒ BC = DC (corresponding parts of congruent triangles)

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