Question

15. In fig. ABCD; AB = AD and AC is the bisector of BC = DC

Answer 1

IN TRIANGLE ABC AND ADC

WE HAVE

AB =AD (GIVEN)

AC =AC. (COMMON )

BC =CD (GIVEN)

HENCE TRIANGLE ABC AND TRIANGLE ADC ARE CONGRUENT

Answer 2

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Given=

AD=AB

BC=DC

To proof=

ABC is congruent to ADC

Proof =

AD=AB (GIVEN)

BC=DC(GIVEN)

AC=AC(COMMON)

By SSS congruence property we can say that

ABC is congruent to ADC

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