Introduction to Geometry: Points, Lines, and Planes

1
Introduction to Geometry Points, Lines, and
Planes
PRE-ALGEBRA LESSON 9-1
Quick Check
a. four points
b. four different segments
c. five other names for KI
d. five different rays
9-1
2
Introduction to Geometry Points, Lines, and
Planes
PRE-ALGEBRA LESSON 9-1
You are looking directly down into a wooden
crate. Name each of the following.
a. four segments that intersect PT
b. three segments parallel to PT
c. four segments skew to PT
Quick Check
9-1
3
Introduction to Geometry Points, Lines, and
Planes
PRE-ALGEBRA LESSON 9-1
Draw two intersecting lines. Then draw a segment
that is parallel to one of the intersecting lines.
Use the lines on notebook or graph paper.
Quick Check
9-1
4
Introduction to Geometry Points, Lines, and
Planes
PRE-ALGEBRA LESSON 9-1
Use the figure. Name each of the
following. 1. four points 2. another name
for EA 3. three different rays 4. three
segments that are parallel to HG 5. four
segments that are skew to CG 6. four segments
that intersect AE
A, B, C, D
9-1
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
The Jackson County Bird Sanctuary has three times
as many owls as hawks. It has 40 hawks and owls
in all. How many of each are in the sanctuary?
30 owls, 10 hawks
9-2
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
(For help, go to Lesson 7-5.)
Solve. 1. n 45 180 2. 75 x 90 3. 3y
2y 90 4. 2a 15 a 45
Check Skills Youll Need
9-2
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
Solutions 1. n 45 180 2.
75 x 90 n 45 45 180
45 75 75 x 90 75 n
135 x 15 3. 3y 2y
90 4. 2a 15 a 45 3y 2y 2y
2y 90 2a a 15 a a 45 y
90 a 15 45 a 15 15 45
15 a 30
9-2
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
Find the measure of 3 if m 4 110.
Quick Check
9-2
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
In the diagram, p q. Identify each of the
following.
a. congruent corresponding angles
b. congruent alternate interior angles
Quick Check
9-2
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Angle Relationships and Parallel Lines
PRE-ALGEBRA LESSON 9-2
145
9-2