Download Practice A 5-1 - Westerville City Schools

Name
LESSON
Date
Class
Practice A
5-1 Points, Lines, Planes, and Angles
1. Name four points in the figure.
A
B
D
C
2. Name a line in the figure.
3. Name a plane in the figure.
4. Name three segments in the figure.
5. Name four rays in the figure.
6. Name a right angle in the figure.
C
7. Name two acute angles in the figure.
B
D
A
8. Name two obtuse angles in the
figure.
E
F
9. Name a pair of complementary
angles in the figure.
10. Name two pairs of supplementary
angles in the figure.
In the figure, ⬔1 and ⬔2 are vertical angles.
1
2
11. If m⬔1 120°, find m⬔2.
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12. If m⬔2 75°, find m⬔1.
9
Holt Pre-Algebra
Holt Middle
School Math
CHAPTER
5
Are You Ready? Recording Sheet
CHAPTER
5
Plane Geometry
coordinate plane
origin
ordered pair
x-coordinate
y-coordinate
ordered pair (4, 3), 4 is the
y-coordinate .
3 is the
1. In the
2. The
coordinate axes
divide the
3. The point (0, 0) is called the
4. The point (0, 3) lies on the
lies on the
x-axis
x-coordinate
Plane Geometry (continued)
Solve each equation.
Choose the best term from the list to complete each sentence.
coordinate axes
x-axis
y-axis
19. 2p 18
23. 4d 1 13
coordinate plane into four sections.
origin
.
y-axis
, while the point (2, 0)
(2, 3)
(1, 0)
(0, 3)
(3,2)
8. point D
9. point E
(5, 4)
10. point F
y 22
25. 4(z 1) 16
q 3
26. x 3 4x 23
z5
x4
2
no
y
4
22. y 6 16
x 27
24. 2q 3 3
d3
9
31. x ᎏ2ᎏ
F
7. point C
h 14
Determine whether each of the following is a solution of ᎏ3ᎏx 1 7.
27. x 3
28. x 9
29. x 0
30. x 9
.
6. point B
x
21. ᎏ3ᎏ 9
20. 7 h 21
p9
, and
Write the coordinates of the indicated points.
5. point A
Are You Ready? Recording Sheet
yes
32. x 3
no
A
no
no
27
33. x ᎏ3ᎏ
no
34. x 6
yes
no
2
(0, 5)
G
B
4
11. point G
(4, 0)
12. point H
(5, 0)
H x
O
2
2
4
2
C
D
4
E
Simplify each expression by combining like terms.
13. 5m 7 2m 1
14. 2x 4 6x 1
3m 6
15. 6w z 5w z
4x 3
16. 3r 11s
w
17. 12h 9 2 3h
cannot be
simplified
18. 4y 1 2y x
9h 7
2y x 1
Pre-Algebra
Holt Holt
Middle
School Math
3
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Exploration Recording Sheet
5-1 Points, Lines, Planes, and Angles
Pre-Algebra
Holt Holt
Middle
School Math
4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice A
5-1 Points, Lines, Planes, and Angles
LESSON
LESSON
In each group, one picture is different from the others. Identify
the picture that is different and explain why it is different.
1. Name four points in the figure.
A
B
D
C
A, B, C, D
1.
2. Name a line in the figure.
៭៮៬
AD
3. Name a plane in the figure.
The first 3 have arrows at both ends, the last figure has an arrow
Possible answer: ABC
at only one end.
4. Name three segments in the figure.
2.
5. Name four rays in the figure.
៮៬, ៮៬
AB
AD, ៮៬
DA, ៮៬
DC
苶B
A
苶, 苶
BC
苶, 苶
CD
苶, or 苶
AD
苶
6. Name a right angle in the figure.
⬔CED or ⬔AEC
The 3rd figure (angle) is much smaller than the others.
3. Look at the picture for each geometry term and write a
real-world example for each term.
Picture
B
⬔AEB, ⬔BEC, or ⬔DEF
Possible answers given.
Term
C
7. Name two acute angles in the figure.
Example
D
A
8. Name two obtuse angles in the
figure.
Point
end of a pencil
Segment
part of a road between mile markers
E
F
Possible answer: ⬔BED and
Ray
dead end road
Line
road
⬔CEF
9. Name a pair of complementary
angles in the figure.
10. Name two pairs of supplementary
angles in the figure.
⬔AEB and ⬔BEC
Angle
⬔CED, ⬔BEC and ⬔CEF
In the figure, ⬔1 and ⬔2 are vertical angles.
corner of a house
1
Think and Discuss
2
4. Explain the difference between a segment and a ray.
A segment ends; a ray continues on in one direction.
m⬔2 120°
one direction vs. two opposite directions
8
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All rights reserved.
12. If m⬔2 75°, find m⬔1.
11. If m⬔1 120°, find m⬔2.
5. Explain the difference between a ray and a line.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Possible answer: ⬔AEC and
Pre-Algebra
Holt Holt
Middle
School Math
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
118
m⬔1 75°
9
Pre-Algebra
Holt Holt
Middle
School Math
Holt Pre-Algebra
Holt Middle
School Math