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Answer the following questions with true or false: 1. Line PF ends at point F. 2. Planes have edges. 3. Line XY can be written two different ways. 4. Line PF has no thickness.

Notes 1.3 Segments, Rays, Length

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Page 1: Notes 1.3 Segments, Rays, Length

Answer the following questions with true or false:

1. Line PF ends at point F.2. Planes have edges.3. Line XY can be written two different

ways.4. Line PF has no thickness.

Page 2: Notes 1.3 Segments, Rays, Length

Obj: Find the length of a segment using SAP

Page 3: Notes 1.3 Segments, Rays, Length

2 specific endpoints Infinite amount of points in between Notation: AB

A

B

Page 4: Notes 1.3 Segments, Rays, Length

Sun One endpoint Extends infinitely in one direction Notation (BE CAREFUL):ABA

B

Page 5: Notes 1.3 Segments, Rays, Length

QA and QB are opposite rays if Q is between A and B.

Example: Opposite Rays

Page 6: Notes 1.3 Segments, Rays, Length

Distance between two points

Notation: AB

Page 7: Notes 1.3 Segments, Rays, Length

MJ

1-1 0

Page 8: Notes 1.3 Segments, Rays, Length

Give the proper term that describes each of the following:

1. 2. 3. 4.

1. segment XY 2. Ray MN 3. Length of CD 4. Line JK

XY MN CD JK

Page 9: Notes 1.3 Segments, Rays, Length

Accepted…without proof!

First postulateSAP

Page 10: Notes 1.3 Segments, Rays, Length

If B is between A and C, then…….. AB + BC = AC

Page 11: Notes 1.3 Segments, Rays, Length

B is between A and C. AB = x, BC = x + 6, and AC = 24 Find AB and BC.

Draw a diagram FIRST!!!

Page 12: Notes 1.3 Segments, Rays, Length

Page 14; 1-11 CLASSROOM EXERCISES

Page 13: Notes 1.3 Segments, Rays, Length

A is between C and T. If CA = 3x – 5, AT = 10 and CT = 4x,Find CT.

Page 14: Notes 1.3 Segments, Rays, Length

1. segment, ray, line, length2. 2; 1; 03. Yes4. No 8. T5. Yes 9. 1; 1; 46. Yes 10. QR, RS, ST7. -2, 0 11. Ray ST

Page 15: Notes 1.3 Segments, Rays, Length

Objective- Calculate the midpoint of a segment.

Page 16: Notes 1.3 Segments, Rays, Length

Same size and shape Symbol: Notation:

Congruent Segments = same length Notation: XY = EF

How to mark congruent segments: More than one pair of congruent segments?

EFXY

X

F

E

Y

Page 17: Notes 1.3 Segments, Rays, Length

Point that divides a segment into two congruent segments

The definition of a midpoint says that two segments are congruent!!!

Page 18: Notes 1.3 Segments, Rays, Length

Find the coordinate of the midpoint of segment AB if the coordinate of A is -7 and the coordinate of B is 15.

Draw the diagram first!

Page 19: Notes 1.3 Segments, Rays, Length

E is the midpoint of DF. If DE = 4x + 5 and EF = 49, find the

value of x.

Page 20: Notes 1.3 Segments, Rays, Length

Line, segment, ray or plane that intersects a segment at its midpoint.

The definition of a bisector says that a point is a midpoint!!!

Segment Bisector

What is the difference between a midpoint and a bisector?

Page 21: Notes 1.3 Segments, Rays, Length

Draw two points P and Q on the patty paper.

Fold the paper so that fold line f contains both P and Q.

Unfold the paper Now fold so that P falls on Q. Call the second fold g.

Page 22: Notes 1.3 Segments, Rays, Length

Lay the paper flat and label the intersection of f and g as point X.

How are points P, Q, and X related? How is line g related to segment PQ?

Page 23: Notes 1.3 Segments, Rays, Length

Page 15-16; 1-35 OddWritten Exercises