Measures of Segments.notebook
August 29, 2013
Warm-Up
Name:
Date:
Questions:
Notes:
Aug 8-10:04 AM
=
Aug 13-8:44 PM
Aug 8-12:04 PM
Segment Addition Postulate
If Q is between P and R then,
Converse true...
If PQ + QR = PR , then Q is between P and R
Aug 21-12:50 PM
Aug 13-8:54 PM
1
Measures of Segments.notebook
August 29, 2013
Create your own postulate!
Aug 23-10:01 AM
Aug 8-12:20 PM
Aug 8-12:23 PM
Aug 13-8:57 PM
Aug 13-8:59 PM
Aug 13-9:00 PM
Example
2
Measures of Segments.notebook
August 29, 2013
Aug 13-9:05 PM
Aug 8-12:40 PM
6
y
5
4
3
2
1
x
-6
-5
-4
-3
-2
-1
0
-1
1
2
3
4
5
6
-2
-3
-4
-5
-6
Aug 8-12:47 PM
Aug 23-2:44 PM
Aug 8-1:00 PM
Aug 23-2:50 PM
3
Measures of Segments.notebook
August 29, 2013
2
Aug 8-1:27 PM
2
Aug 29-7:51 AM
FIND THE MIDPOINT OF FG.
Aug 23-2:52 PM
Aug 8-1:47 PM
PM = 8X - 5
PQ = 28
FIND X.
FIND PQ.
FIND PM.
FIND MQ.
Aug 23-2:56 PM
Aug 23-2:47 PM
4
Measures of Segments.notebook
August 29, 2013
Example
Aug 8-1:51 PM
Aug 23-2:59 PM
Aug 23-3:06 PM
Aug 8-1:31 PM
Example
6
y
6
5
5
4
4
3
3
y
2
2
1
1
x
x
-6
-5
-4
-3
-2
-1
0
-1
1
2
3
4
5
6
-6
-5
-4
-3
-2
-1
0
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Aug 23-2:55 PM
1
2
3
4
5
6
Aug 23-2:58 PM
5
Measures of Segments.notebook
August 29, 2013
Line l bisects the segment. Find the indicated length.
Find AC if AB = 7cm.
Find NP if NQ = 21.9 cm.
In each diagram, M is the midpoint of the segment. Find the indicated length.
Find JM.
Find MN.
Find PQ.
Find the coordinates of the midpoint of the segment with the given endpoints.
R(4,1)
S(4,7)
V(2,4)
W(8,8)
Use the given endpoint Y and midpoint M of segment YZ to find the coordinates of the other endpoint Z.
Y(0,5)
M(6,6)
Y(-1,-3) M(7,11)
Aug 8-1:37 PM
Warm-Up
1.) The endpoints of CD are C(6, 1) and D(–4, –1).
Find the midpoint M of CD.
Name:
Date:
Notes:
Questions:
2.) Point M is the midpoint of AB If AM = 12x + 8 and MB = 10x + 15,
find the length of AB.
3.) The midpoint of FG is M(–1, 3). One endpoint is F(–2, 5). Find the
coordinates of the other endpoint G.
Sep 5-9:13 AM
Aug 8-10:04 AM
P
-1
TS =
Aug 21-10:40 AM
MP =
MS =
Aug 13-8:47 PM
6
Measures of Segments.notebook
August 29, 2013
Aug 8-12:15 PM
Aug 8-1:39 PM
+ (Y-Y)
Aug 29-7:41 AM
Find the length of the segment.
Round to the nearest 10th unit.
Aug 21-9:59 AM
Aug 8-1:43 PM
d=√
+ (Y-Y)
W(1,2)
Z(-4,-2)
Aug 13-9:07 PM
7
Measures of Segments.notebook
Practice
August 29, 2013
Bisecting a Segment
1. Find AB.
2. If A (5, 2) and B (-8, 1), find AB.
3. Find the midpoint “M” of AB if A (12, 5) and B (-2, 7).
4. Given that B is the midpoint of AC, find the following.
AB = 8x – 7
BC = 4x + 9
x = ______
AC = ______
DRAW A SEGMENT XY.
PLACE THE COMPASS ON "X" AND MEASURE
GREATER THAN HALF OF THE SEGMENT.
DRAW ARCS ABOVE AND BELOW XY.
5. N is the midpoint of ST. Find T.
N (4,-1)
S (3,-2)
Sep 6-9:19 AM
Aug 23-3:13 PM
Construction: Segment Bisector
1. Draw XY on a sheet of paper.
2. Fold the paper so that Y is on top of X.
3. Unfold the paper.
4. Draw a point at the intersection of the crease and XY.
Label M.
6. The line represented by the crease is the segment bisector of XY.
Aug 8-1:14 PM
Aug 13-9:10 PM
8