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GEOMETRY Review: Name the segments and rays in the figure. Points, Lines & Planes LESSON 1-1 (Big ideas)

Points, Lines & Planes LESSON 1-1 (Big ideas)

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Page 1: Points, Lines & Planes LESSON 1-1 (Big ideas)

GEOMETRY

Review: Name the segments and rays in the figure.

Points, Lines & Planes

LESSON 1-1 (Big ideas)

Page 2: 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.

Page 3: Points, Lines & Planes LESSON 1-1 (Big ideas)

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

Page 4: Points, Lines & Planes LESSON 1-1 (Big ideas)

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

Page 5: Points, Lines & Planes LESSON 1-1 (Big ideas)

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

Page 6: Points, Lines & Planes LESSON 1-1 (Big ideas)

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.

Page 7: Points, Lines & Planes LESSON 1-1 (Big ideas)

GEOMETRY

Measuring Segments

A B

-4 1

Find AB.

The distance between any two points is the absolute value of their difference.

Page 8: Points, Lines & Planes LESSON 1-1 (Big ideas)

GEOMETRY

Find the length of segment AB.

Measuring Segments

You Try #3

Page 9: Points, Lines & Planes LESSON 1-1 (Big ideas)

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.

Page 10: Points, Lines & Planes LESSON 1-1 (Big ideas)

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.

Page 11: Points, Lines & Planes LESSON 1-1 (Big ideas)

GEOMETRY

You Try #4

You Try #5