Geometry – 7.4 Parallel Lines and Proportional Parts NOTES
x Mid-segment of a triangle: a segment with endpoints that are on midpoints of two sides of the triangle
Example 1: Find the Length of a Side
Refer to the figure to the right to answer the following questions.
1)
2)
Geometry – 7.4 Parallel Lines and Proportional Parts NOTES
Example 2: Determine if Lines are Parallel
Refer to the figure to the right to answer the following questions.
3)
4)
Geometry – 7.4 Parallel Lines and Proportional Parts NOTES
Example 3: Use the Triangle Midsegment Theorem
5) XZ 6) ST
7) 𝑚∠𝑅𝑌𝑋
Use the figure to the left to find each
measure.
8) DE 9) DB
10) m∠FED
Geometry – 7.4 Parallel Lines and Proportional Parts NOTES
Example 4: Use Proportional Segments of Transversals
11) Megan is drawing a hallway in one-point perspective. She uses the guidelines shown to draw two windows on the left wall. If segments 𝐴𝐷, 𝐵𝐶, 𝑊𝑍, 𝑋𝑌 are all parallel, AB = 8 centimeters, DC = 9 centimeters, and ZY = 5 centimeters, find WX.
Example 5: Use Congruent Segments of Transversals
12) Find x and y.
13) Find x.