Transcript 3.6 Prove Theorems About Perpendicular Lines

3.6
Prove Theorems
About
Perpendicular Lines
Foldable
Thms.
Thm 3.8
If 2 lines intersect to form a linear pair of congruent angles,
then the lines are perpendicular.
Thm 3.9
If 2 lines are perpendicular, then they intersect to form 4 right
angles.
Thms.
Thm 3.10
If 2 sides of 2 adj. acute angles are perpendicular, then the
angles are complementary.
Thm 3.11 Perpendicular Transversal Thm
If a transversal is perpendicular to 1 of 2 // lines, then it is
perpendicular to the other.
Thms.
Thm 3.12
Lines perpendicular to a Transversal
In a plane, if 2 lines are perpendicular to the same line, then
they are // to each other.
Look @ your notes
Distance from a point to a line:
The length of the perpendicular
segment from the point to the line
Look @ your notes
1. Given
PSPQ
Thm 3.10

Look @ your notes
Given
Thm 3.8
Thm 3.9
Look @ your notes
r and s are both perpendicular to x, so by
Thm 3.12 r//s.
x and y are both perpendicular to r, so by
Thm 3.12 x//y.
x and z are both perpendicular to s,
so x//z.
y and z are both // to x, by the transitive
Property of // lines y//z.
Look @ your notes
Look @ your notes