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1_1 Segment length and midpoints.notebook
1
August 31, 2017
11: Segment Length and Midpoint
Undefined Terms: Cannot be defined with other figures
Point
Geometric Figure Ways to Name the Figure
Undefined Terms: Cannot be defined with other figures
Line
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Undefined Terms: Cannot be defined with other figures
Plane
Geometric Figure Ways to Name the Figure
Defined Terms
Line Segment
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Defined Terms
Ray
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Collinear
Geometric Figure Ways to Name the Figure
Coplanar
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Parallel
Geometric Figure Ways to Name the Figure
Postulate
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Postulate 1: Segment Addition PostulateDescription Geometric Picture
Construction: Copy a segment
Use docum
ent camera
Distance FormulaDescription Geometric Picture
The distance between two points (x1, y1) and (x2, y2) on the coordinate plane is:
1. Tell whether and have the same length. Justify your answer.
2. Tell whether and have the same length. Justify your answer.
1_1 Segment length and midpoints.notebook
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August 31, 2017
Midpoint
Geometric Figure Ways to Name the Figure
Segment Bisector
Geometric Figure Ways to Name the Figure
1_1 Segment length and midpoints.notebook
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August 31, 2017
Midpoint FormulaDescription Geometric Picture
The midpoint M of AB with endpointsA(x1, y1) and B(x2, y2) is given by:
Show that the statement is true.If has endpoints A(6, 3) and B(6, 3), then the midpoint M of is the origin.
Show that the statement is true.If has endpoints P(4, 1) and Q(2, 3), then the midpoint M of lies in Quadrant III.
Pg. 12 #16, 915 odd, 1720, 22, 24