Definitions
Point
A point is a location
Distance Formula
(x2-x1)/2, (y2-y1)/2
The ____ of a segment is a point that divides the segment in to ___ _____ _____.
1. Midpoint
2. Two
3. congruent
4. segements
If PQ =9 and QR=28, find PR
9+28=37
If T is the midpoint of SU find x.
ST=8x+11
TU=12x-1
x=3
Line
made up of points
Midpoint
(x2+x1)/2, (y2+y1)/2
If AB=CD then the angles are.....
CONGRUENT
If LM=22 and MN=15 find LN
22+15=37
If R is the midpoint of QS, find Qs
QR= 5x-3
RS=21-x
QS=34
Plane
A flat surface that is made up of points
Bisectors
The bisector is a line that divides a line or an angle into two equivalent parts.
If A, B, and C, are collinear, points and b is between A and C then.....
AB+BC=AC
If LN=54 and LM=31 find MN
54-31=23
If G is the midpoint of FH, find FG
FG=11x-7
GH=3x+9
FG=15
intersecting lines
Two lines intersect at a point
A ray is a line with an endpoint that extends infinitely in one direction
If QR=17 and PR=21, find PQ
21-17=4
If PR=17 and QR=20 Find PQ
17+20=37
If B is the midpoint of AC, and AC= 8x-20, find BC
AB= 3x-1
BC=3x-1
BC=26
collinear points
Line segemnt
a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints
A line, ray, or segement that intersects a segment at its midpoint is said to _____ the segment and is called the _______ _____.
1. bisect
2. Segment
3. bisector
If DF=9x-39, find EF
DE=47
DF= 3x+10
x= 16
EF=58
If BD=7x-10, BC=4x-29 and CD=5x-9, find each value
x=14
BC=27
CD=61
BD=88