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Lesson 2 for my Geometry class. Students learn to use the segment addition postulate and the concept of congruence.
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Milby High School2013 – 20114
Mr. Saucedo
Find the distance between two points on a line using the Segment Postulate.
THEOREM◦ HAS PROOF (it has been proven or has to be
proved to be considered true).
POSTULATE◦ IS ACCEPTED AS TRUE WITHOUT PROOF.◦ ALSO CALLED AXIOM.
What is the distanceBetween Houston andEl Paso?
What if I know thatHouston – Austin = 162.7 miAustin – El Paso = 577.0 mi.
Let points A, B and C be collinear points.
If B is between A and C, then AB + BC = AC*
*AC defines distance, whereas AC defines a segment.
1. Use the diagram to find AB.
2. Use the diagram to find BC. 36
21
Find DT.
If: JH=2XJK=3XKH=25
A. Find HJ B. Find JK
2 lines that have the same measurement.
Congruence symbol:
THUS: AB CD
Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent.
A(2,2), B(4,2), C(-1,-1), D(-1, 1).Are segments AB and CD congruent?
What is the difference between:◦ AB and AB
What is the difference between:◦ AB = CD and AB CD
Is AB + BC = AC ?
B
A
C
Section 1.2Page 12, Exercises:
1, 7, 8, 9, 10, 12, 14, 15, 21, 23, 25, 29, 30
Pre AP, add problem #31.
Pg. 4 from workbook. Problems: 4-6, 8, 10, 15, 20, 23, 25, 28
Pre-AP add problem 29.