In figure-BD is a bisector of angle B- CD - DAIn order to show the triangle BDA and triangle BDC are congruent- which property of triangle applies here-SASSSSAASNone

Question

In figure-BD  is a bisector of angle B- CD - DAIn order to show the triangle BDA and triangle BDC are congruent- which property of triangle applies here-SASSSSAASNone

Toppr Admin · Accepted Answer

In -x25B3-ABD and -x25B3-CBDBD is a bisector of -x2220-BBD is common side-x2220-ABD-x2220-CBDCD-DATwo triangles are congruent from SAS postulateHence option A is correct-

In figure,
$B D$ is a bisector of $∠ B, C D = D A$
In order to show the $△ B D A$ and $△ B D C$ are congruent, which property of triangle applies here?

$S A S$
$S S S$
$A A S$
None

In $△ A B D$ and $△ C B D$

$B D$ is a bisector of $∠ B$
$B D$ is common side.
$∠ A B D = ∠ C B D$
$C D = D A$

Two triangles are congruent from $S A S$ postulate

Hence option A is correct.

In figure,BD is a bisector of ∠B,CD=DAIn order to show the △BDA and △BDC are congruent, which property of triangle applies here?SASSSSAASNone

In △ABD and △CBDBD is a bisector of ∠BBD is common side.∠ABD=∠CBDCD=DATwo triangles are congruent from SAS postulateHence option A is correct.

In figure,
$B D$ is a bisector of $∠ B, C D = D A$
In order to show the $△ B D A$ and $△ B D C$ are congruent, which property of triangle applies here?

$S A S$
$S S S$
$A A S$
None

In $△ A B D$ and $△ C B D$

$B D$ is a bisector of $∠ B$
$B D$ is common side.
$∠ A B D = ∠ C B D$
$C D = D A$

Two triangles are congruent from $S A S$ postulate

Hence option A is correct.