Question

in quadrilateral ACBD., ac=ad and ab bisects Angle a. show that angle abc equal to angle abd. what can you say about bc and bd?

Answer 1

TAKE,
triangle abc and abd
ac=ad(given)
<1=<2(opposite angles of quadrilateral)
ab=ab(common)
by SAS congruency,
abd congruent to abc
by cpct, bc=bd

Answer 2

hyy friends

there is your answers

sol.

Given,

AC = AD and AB bisects ∠A

To prove,

ΔABC ≅ ΔABD

Proof,

In ΔABC and ΔABD,

AB = AB (Common)

AC = AD (Given)

∠CAB = ∠DAB (AB is bisector)

Therefore, ΔABC ≅ ΔABD by SAS congruence condition.

BC and BD are of equal length.

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