8. 3.6 Prove Parallel & Perpendicular Theorems
HW pg. 194 #210, 1517 8
October 02, 2013
Oct 810:06 AM
Distance from a Point to a Line: length of perpendicular segment
from point to the line.
B
A
k
Distance between 2 Parallel Lines: length of any perpendicular
segment joining the 2 lines.
m
p
C
D
Distance btwn point A & line k = AB
Distance btwn line p & line m = CD
Distance Formula: (x2 x1)2 + (y2 y1)2 √
What is the distance between the two parallel lines?
(4,6)
(0,3)
(3,1)
(7,2)
Step 1: Find slope of 1st line.
Step 2: Write equation of 1st line.
Step 3: Write equation of line to 1st line through 2nd line
Step 4: Find intersection of 1st line and line.
Step 5: Find distance between // lines using point of intersection and the
chosen point from step 3.
Example