In Delta XYZ,the bisector of angle Y intersec | vedclass

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(B) According to the Angle Bisector Theorem,if a ray bisects an angle of a triangle,then it divides the opposite side into segments that are proportio

Vedclass · Accepted Answer

$\frac{XY}{YZ} = \frac{XM}{MZ}$

Vedclass · Answer

(B) According to the Angle Bisector Theorem,if a ray bisects an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two sides of the triangle.In $\Delta XYZ$,$YM$ is the bisector of $\angle Y$,which intersects $\overline{XZ}$ at $M$.Therefore,by the Angle Bisector Theorem,the ratio of the segments of the side $\overline{XZ}$ is equal to the ratio of the other two sides of the triangle:$\frac{XM}{MZ} = \frac{XY}{YZ}$.Thus,option $B$ is correct.

In $\Delta XYZ$,the bisector of $\angle Y$ intersects $\overline{XZ}$ at $M$. Then,which of the following holds true?

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