Chapter 8.5, Problem 15PSA

To determine

To show that two ratios are equal.

Answer to Problem 15PSA

  $\frac{KM}{JK}$ is equal to $\frac{MO}{OP}$ .

Explanation of Solution

Given information:

  $\angle 1 \cong \angle 2$

Formula used:

The below properties are used:

If alternate angles are congruent then the lines are parallel.

If a line is parallel to one side of triangle and intersects other sides, it divides sides proportionally.

Proof:

  

It is given that,

  $\angle 1 \cong \angle 2$

If alternate angles are congruent then the lines are parallel.

  $\overleftrightarrow{OK}isparallelto\overleftrightarrow{JP}$

If a line is parallel to one side of triangle and intersects other sides, it divides sides proportionally.

  $\frac{KM}{JK}=\frac{MO}{OP}$