![Page 1: HW #17 pg. 194 #5-7, 15-17, 21, 26, 29. Theorem 3.8 If two lines intersect to form two congruent angles that are a linear pair, then the lines must](https://reader035.vdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdee/html5/thumbnails/1.jpg)
Section 3.6 – Prove Theorems About Perpendicular Lines
HW #17 pg. 194#5-7, 15-17, 21, 26, 29
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Theorems
Theorem 3.8 If two lines intersect to form two
congruent angles that are a linear pair, then the lines must be perpendicular
Theorem 3.9 If two lines are perpendicular, then they
intersect to form 4 right angles
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Theorems
Theorem 3.10 If the sides of two adjacent acute angles
are perpendicular, then the angles are complementary
Theorem 3.11 If a transversal is perpendicular to one of
two parallel lines, then it is perpendicular to the other
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Theorems
Theorem 3.12 In a plane, if two lines are perpendicular
to the same line, then they are parallel.
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Example
![Page 6: HW #17 pg. 194 #5-7, 15-17, 21, 26, 29. Theorem 3.8 If two lines intersect to form two congruent angles that are a linear pair, then the lines must](https://reader035.vdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdee/html5/thumbnails/6.jpg)
Example
![Page 7: HW #17 pg. 194 #5-7, 15-17, 21, 26, 29. Theorem 3.8 If two lines intersect to form two congruent angles that are a linear pair, then the lines must](https://reader035.vdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdee/html5/thumbnails/7.jpg)
Distances
Distance from a point to a line The length of the perpendicular segment
from the point to the line Distance between two parallel lines
The length of any perpendicular segment joining those two lines