16
Milby High School 2013 – 20114 Mr. Saucedo

1.2 segment addition postulate

  • Upload
    masljr

  • View
    1.356

  • Download
    20

Embed Size (px)

DESCRIPTION

Lesson 2 for my Geometry class. Students learn to use the segment addition postulate and the concept of congruence.

Citation preview

Page 1: 1.2 segment addition postulate

Milby High School2013 – 20114

Mr. Saucedo

Page 2: 1.2 segment addition postulate

Find the distance between two points on a line using the Segment Postulate.

Page 3: 1.2 segment addition 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.

Page 4: 1.2 segment addition postulate

What is the distanceBetween Houston andEl Paso?

What if I know thatHouston – Austin = 162.7 miAustin – El Paso = 577.0 mi.

Page 5: 1.2 segment addition postulate

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.

Page 6: 1.2 segment addition postulate

1. Use the diagram to find AB.

Page 7: 1.2 segment addition postulate

2. Use the diagram to find BC. 36

21

Page 8: 1.2 segment addition postulate

Find DT.

Page 9: 1.2 segment addition postulate
Page 10: 1.2 segment addition postulate

If: JH=2XJK=3XKH=25

A. Find HJ B. Find JK

Page 11: 1.2 segment addition postulate

2 lines that have the same measurement.

Congruence symbol:

THUS: AB CD

Page 12: 1.2 segment addition postulate

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?

Page 13: 1.2 segment addition postulate

What is the difference between:◦ AB and AB

What is the difference between:◦ AB = CD and AB CD

Page 14: 1.2 segment addition postulate

Is AB + BC = AC ?

B

A

C

Page 15: 1.2 segment addition postulate

Section 1.2Page 12, Exercises:

1, 7, 8, 9, 10, 12, 14, 15, 21, 23, 25, 29, 30

Pre AP, add problem #31.

Page 16: 1.2 segment addition postulate

Pg. 4 from workbook. Problems: 4-6, 8, 10, 15, 20, 23, 25, 28

Pre-AP add problem 29.