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Proportionality Theorems: Triangle & Parallel Lines

Explore using proportions with triangles or parallel lines to determine if lines are parallel or find unknown side lengths. Learn to apply Theorem 6.6 and Theorem 6.7 through practical examples.

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Proportionality Theorems: Triangle & Parallel Lines

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  1. 6.6 – Use Proportionality Theorems Goal: You will use proportions with a triangle or parallel lines.

  2. proportionally other side *Side not being touched by line

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

  4. Find x.

  5. proportionally VX XZ proportional CA BC

  6. 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.

  7. Use theorem 6.6 Example 4: Find AB.

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

  9. Use theorem 6.7 Example 6: Find AB.

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