Question

EXERCISE 7.1
C
1. In quadrilateral ACBD,
AC - AD and AB bisects ZA
(see Fig. 7.16). Show that A ABC & A ABD.
What can you say about BC and BD?
A
B
D
Fig. 7.16
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Answer 1

Answer:

In ️ ABC and ️ ABD

AC=AD (Given)

angle CAB = angle DAB (AB bisects angle A)

AB=AB (Common )

️ ABC congruence ️ ABD (BY SAS congruence rule)

so, BC=BD

BC and BD are of equal length.

Answer 2

Answer:

In ΔABC and ΔABD,

AC = AD (Given)

∠CAB = ∠DAB (AB bisects ∠A)

AB = AB (Common)

∴ ΔABC ≅ ΔABD (By SAS congruence rule)

∴ BC = BD (By CPCT)

Therefore, BC and BD are of equal lengths.

Explanation:

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