If a line through ∠B divides the opposite side in proportion to the sides containing ∠B, then p : q = .

1 : 1

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2 : 1

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1 : 2

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Solution

The correct option is A 1 : 1
We know from the converse of angle bisector theorem,
$if, \frac{A B}{C B} = \frac{A D}{D C}$ ,
then the line through ∠B bisects the the ∠B.
$∴ p : q = 1 : 1$

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If a line through ∠B divides the opposite side in proportion to the sides containing ∠B, then p : q = .

The correct option is A 1 : 1We know from the converse of angle bisector theorem, if, ABCB=ADDC, then the line through ∠B bisects the the ∠B. ∴p:q=1:1

The correct option is A 1 : 1
We know from the converse of angle bisector theorem,
$if, \frac{A B}{C B} = \frac{A D}{D C}$ ,
then the line through ∠B bisects the the ∠B.
$∴ p : q = 1 : 1$