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GEOMETRY
Review: Name the segments and rays in the figure.
Points, Lines & Planes
LESSON 1-1 (Big ideas)
GEOMETRY
a) Name a non-collinear set of points. b) Name a coplanar set of points. c) Name the intersection of plane AEF and plane DHE.
GEOMETRY
Congruent
Measuring Segments LESSON 1-2 (Big Ideas)
Vocabulary
Shapes are congruent if they have the same size and same shape.
AB ≅CDA B
C D
then
AB=CD
10 cm
10 cm
If
The length of AB
A B
C D
The length of segment AB is noted with no bar. AB=10 and CD=10 10 cm
10 cm
≅
GEOMETRY
Plot the points in the coordinate plane. Then determine whether AB and CD are congruent. A(-4,5), B(-4,8), C(2,-3), D(2,0)
You Try #1
GEOMETRY
Plot the points in the coordinate plane. Then determine whether AB and CD are congruent. A(6,-1), B(1,-1), C(2,-3), D(4,-3)
You Try #1
GEOMETRY
Ruler postulate: The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of the point.
GEOMETRY
Measuring Segments
A B
-4 1
Find AB.
The distance between any two points is the absolute value of their difference.
GEOMETRY
Find the length of segment AB.
Measuring Segments
You Try #3
GEOMETRY
Measuring Segments
53
31 M P N
In the figure MP = 53, NP = 31, find MN.
Use the segment addition postulate.
Write an equation.
GEOMETRY
Use the Segment Addition Postulate
If AB = 25, find the value of x. Then find the value of AN and NB.
25
Example 3 Write an equation.
GEOMETRY
You Try #4
You Try #5