(B) 8. The length of a segment can be found two ways. 1. Counting spaces 2. Subtracting (We are...
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Transcript of (B) 8. The length of a segment can be found two ways. 1. Counting spaces 2. Subtracting (We are...
PSAT – QUESTION OF THE DAY
(B) 8
FINDING ANGLE MEASURES USING CLOCKS
SEGMENT AND ANGLE ADDITION
LENGTH OF A SEGMENT
The length of a segment can be found two ways.
1. Counting spaces2. Subtracting (We are finding distance so
we take the difference)Find the length of segment AB.
B – A = 4 – (-2) = 6
There is no such thing as a negative distance.
SEGMENT AND ANGLE ADDITION POSTULATES
The segment and angle addition postulates say that you can add two angles together to get a larger angle and two segments together to get a larger segment.
For Example: AB + BC = AC
How long is segment AC?15 units
CBA
10 5
SEGMENT AND ANGLE ADDITION POSTULATES
<AOB = 43 and <BOC = 15What is the measure of <AOC?
<AOB + <BOC = <AOC 43 + 15 = <AOC
58 = <AOC
SEGMENT AND ANGLE ADDITION POSTULATES
XZ = 17 and YZ = 11What is the length of segment XY?
XY + YZ = XZXY + 11 = 17
XY = 6
SEGMENT AND ANGLE ADDITION POSTULATES
<ABC = 124. Find the measure of x.
Top < + Right < = Total <<ABD + <DBC = <ABC (3x+1) + (4x-3) = 124
7x – 2 = 124 7x = 126
x = 18
MIDPOINTS
A midpoint of a segment is a point that divides a segment into two equal pieces. Small dash marks are used to show that the two halves are equal.
MIDPOINTS
M is the midpoint of AB. AM = 3x-6 and MB = 5x-12. Find the measure of x.
3x – 6 = 5x – 126 = 2x3 = x
3x-6
5x-12
HOMEWORK
Geometry:Pg 29 (1,8-13,17,27-30,33,43,45,65,70)
Honors Geometry:Pg 29 (1,8-13,17,27-30,33,65,70,71,75-
78)
HONORS GEOMETRY
In Pairs, work on the following problems: Pg 32 (75-78).
Please draw the picture and label it for each problem.