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1. 2. 3. 4.
Answer the following questions with true or false: Line PF ends at point F. Planes have edges. Line XY can be written two different ways. Line PF has no thickness.
Obj: Find the length of a segment using SAP
2 specific endpoints Infinite amount of points in between Notation: AB
B
A
Sun One endpoint Extends infinitely in one direction Notation (BE CAREFUL): AB
A B
QA and QB are opposite rays if Q is between A and B.
Example: Opposite Rays
Distance between two points
Notation: AB
J
M
-1
0
1
Give the proper term that describes each of the following: 1. 2. 3. 4.
XY
1. segment XY 2. Ray MN 3. Length of CD 4. Line JK
MN
CD
JK
Accepted…without proof!
First postulateSAP
If B is between A and C, then…….. AB + BC = AC
B is between A and C. AB = x, BC = x + 6, and AC = 24 Find AB and BC.
Draw a diagram FIRST!!!
Page 14; 1-11 CLASSROOM EXERCISES
A is between C and T. If CA = 3x – 5, AT = 10 and CT = 4x, Find CT.
1. 2. 3. 4. 5. 6. 7.
segment, ray, line, length 2; 1; 0 Yes No 8. T Yes 9. 1; 1; 4 Yes 10. QR, RS, ST -2, 0 11. Ray ST
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Objective- Calculate the midpoint of a segment.
Same size and shape
Symbol: ≅ Notation: XY ≅ EF
X E
Y
F
Congruent Segments = same length Notation: XY = EF How to mark congruent segments: More than one pair of congruent segments?
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Point that divides a segment into two congruent segments
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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.
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Draw the diagram first!
E is the midpoint of DF. If DE = 4x + 5 and EF = 49, find the value of x.
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?
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.
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 Odd Written Exercises