6.6 – Use Proportionality Theorems Goal: You will use proportions with a triangle or parallel lines.

proportionally other side *Side not being touched by line

Determine if lines are parallel Example 3: Example 4: Determine if // . Determine if // .

proportionally VX XZ proportional CA BC

Use theorem 6.6 Example 3: A farmer’s land is divided by a newly constructed interstate. The distances are shown in meters. Find the distance CA between the north and south border of the farmer’s land.

Use theorem 6.6 Example 4: Find AB.

Use theorem 6.7 Example 5: In the diagram, . Use the given side lengths to find DG.

Use theorem 6.7 Example 6: Find AB.