notes 1.3 segments, rays, length
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segments, rays, lengthTRANSCRIPT
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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.
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Obj: Find the length of a segment using SAP
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2 specific endpoints Infinite amount of points in between Notation: AB
A
B
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Sun One endpoint Extends infinitely in one direction Notation (BE CAREFUL):ABA
B
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QA and QB are opposite rays if Q is between A and B.
Example: Opposite Rays
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Distance between two points
Notation: AB
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MJ
1-1 0
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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
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Accepted…without proof!
First postulateSAP
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If B is between A and C, then…….. AB + BC = AC
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B is between A and C. AB = x, BC = x + 6, and AC = 24 Find AB and BC.
Draw a diagram FIRST!!!
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Page 14; 1-11 CLASSROOM EXERCISES
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A is between C and T. If CA = 3x – 5, AT = 10 and CT = 4x,Find CT.
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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
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Objective- Calculate the midpoint of a segment.
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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
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Point that divides a segment into two congruent segments
The definition of a midpoint says that two segments are congruent!!!
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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!
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E is the midpoint of DF. If DE = 4x + 5 and EF = 49, find the
value of x.
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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?
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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.
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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?
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Page 15-16; 1-35 OddWritten Exercises