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PSAT – Question of the day. (B) 8. Finding angle measures using clocks. Segment and angle addition. The length of a segment can be found two ways. Counting spaces Subtracting (We are finding distance so we take the difference) Find the length of segment AB. B – A = 4 – (-2) = 6
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The length of a segment can be found two ways. Counting spaces 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. Length of a segment
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 Segment and Angle addition postulates 10 5 A B C
<AOB = 43 and <BOC = 15 What is the measure of <AOC? <AOB + <BOC = <AOC 43 + 15 = <AOC 58 = <AOC Segment and Angle addition postulates
XZ = 17 and YZ = 11 What is the length of segment XY? XY + YZ = XZ XY + 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 Segment and Angle addition postulates
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 – 12 6 = 2x 3 = x Midpoints 5x-12 3x-6
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) Homework
In Pairs, work on the following problems: Pg 32 (75-78). Please draw the picture and label it for each problem. Honors Geometry