Question

please answer this question ​

Answer 1

Answer:

1. side AD = side AD. (common side)

side AB = side AC. (given)

angle DAB = angle DAC. (AD is bisector of angle BAC)

2. yes ∆ADB = ∆ ADC

Reason (SAS test of congruence)

3. angle B = angle C.

Reason (corresponding angle of congruent triangle)

Answer 2

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1.) State three pairs of equal parts :-

➙ AB = AC

➙ AD = AD

➙ ∠ BAD = ∠ CAD

2.) Is ∆ ADB ≅ ∆ ADC ? Give reasons .

In ∆ ADB & ∆ ADC

AB = AC ( Given )

∠ BAD = ∠ CAD ( AD is bisector of ∠ BAC )

AD = AD ( Common )

∴ ∆ ADB ≅ ∆ ADC ( By SAS congruency rule )

3.) Is ∠B = ∠C ? Give reasons .

Since, we have proved that ∆ ADB ≅ ∆ ADC.

From the above proof we can conclude that :-

∠B = ∠C ( By Cpct ) ( Cpct :- corresponding parts of congurent triangles .