6.6 – use proportionality theorems
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6.6 – Use Proportionality Theorems
Goal: You will use proportions with a triangle or parallel lines.
proportionallyproportionally
other sideother side
*Side not being touched by line
Determine if lines are parallelDetermine if lines are parallel
Example 3: Example 4:
Determine if // . Determine if // .
AEBD QT RS
Find x.
VXXZ
proportionallyproportionally
proportionalproportionalCABC
Use theorem 6.6Use 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.
Example 4:
Find AB.
Use theorem 6.6Use theorem 6.6
Use theorem 6.7Use theorem 6.7
Example 5:
In the diagram, . Use the given side lengths to find DG.
DEG GEF
Use theorem 6.7Use theorem 6.7
Example 6:
Find AB.
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