Download Chap 1 homework packet

Geometry Homework Worksheets: Chapter 1
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HW#1: Problems #1 – 8
For #1-4, choose the best answer for each multiple choice question.
1. Identify an example of an undefined term: 2. All of the following are correct names for the line
except:
A. a point
A. l
B. collinear points
B. AB
C. non-collinear points
C. BA
D. coplanar points
D. A
E. non-coplanar points
E. AC
3. The ceiling of our classroom is an
example of a:
A. point
B. line
C. plane
D. defined term
E. none of the above
4. The meeting place of two geometric objects is
called:
A. a point
B. a line
C. a plane
D. collinear
E. an intersection
For #5 – 8, simplify each expression. Leave your answers as reduced fractions.
5. 3
2
1
 3
5
4
4
1
7. 8  7
9
4
2
1
6. 2  6
3
5
4 3
8. 6  9
5 4
HW#2: Problems #9-17
For questions 9-14, choose the best answer for each multiple choice question.
9. All of the following statements are true
about opposite rays except:
A.
B.
C.
D.
E.
they go in opposite directions
they have the same endpoint
they are congruent
together, they form a line
they both are of infinite length
10. How many non-collinear points define a plane?
A.
B.
C.
D.
E.
1
2
3
4
5
11. How many points define a line?
12. The intersection of two planes is a:
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
1
2
3
4
5
13. Find a pattern for the sequence. Use the
pattern to show the next term.
S, M, T, W, …
A. S
B. F
C. M
D. Th
point
segment
line
ray
plane
14. Which number is a counterexample to the
statement below?
All prime numbers are odd.
A.
B.
C.
D.
0
2
34
86
For questions 15-17, simplify each expression as much as possible.
15. 7  2(4  1)2  5  6
17. 6  3(2  1)2  9  3
16. 2(3  8)3  4  9
HW#3: Problems #18 – 26
For questions 18-22, choose the best answer for each multiple choice question.
18. What is the difference is meaning
between AB and AB ?
19. The distance between two points a and b on a
number line can always be found using this formula:
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
they do not have different meanings
AB is a length, AB is a segment
AB is Algebra, AB is Geometry
AB is a length, AB is a segment
not enough information to conclude
20. Two segments, AB and XY , both
measure 5cm. All of the following
statements use correct notation except:
A. AB  XY
B. AB = 5cm
C. AB = XY
D. XY = 5cm
E. AB = XY
ab
b–a
a–b
ba
not enough information to conclude
21. Complete and justify the statement referring to
the diagram:
IC + _____ = IE by the __________________.
A. CE, Segment Addition Postulate
B. CE, Definition of Midpoint
C. CE, Definition of Segment Bisector
D. IE, Definition of Angle Bisector
22. Which statement accurately describes the diagram below?
A. CN bisects AY
B. AY and CN bisect each other
C. AY bisects CN
D. D is the midpoint of AY and CN
E. CN is the segment
bisector of AY
For questions 23-26, solve each equation. If necessary, write your answers as reduced fractions.
23.
2
b8  6
3
25. (2d  9)  (5d  4)  14
24. 3( x  4)  6( x  6)
26. 24  4(m  3)
HW#4: Problems #27 – 34
For questions 27-30, choose the best answer for each multiple choice question.
27. All of the following statements are true
except:
28. Which statement is always true about adjacent
angles?
A. Two intersecting lines meet at a point.
B. Opposite rays share an endpoint.
C. Adjacent angles share a side and a vertex.
D. Co-planar points are points on the same
plane.
E. Obtuse angles measure less than 90
degrees.
A.
B.
C.
D.
E.
29. If two adjacent angles put together form
a straight line, then their measurements add
up to 180˚. This statement is justified by the:
30. Find the value of x.
A.
B.
C.
D.
E.
Segment Addition Postulate
Definition of Midpoint
Definition of Segment Bisector
Definition of Angle Bisector
Angle Addition Postulate
A.
B.
C.
D.
they are obtuse
they are right
they are acute
they share a vertex and a side
they share a vertex or a side
3
4
5
10
Q
(4x+5)
(8x)
R
S
T
For questions 31-34, solve each equation. If necessary, leave your answers as reduced fractions.
31.
3
2 5
1
x  x
4
3 8
6
2
7 8
32.  x   x
5
9 5
33.
2x  5 6x  8

6
2
34.
x  7 4x 1

3
4
HW#5: Problems #35 – 46
Solve each equation. If necessary, leave your answers as reduced fractions.
35. 3x  7(2 x  13)  3(2 x  9)
36. 6( x  2)  2(9  2 x)
3 1

37. 0.5  2 x     0.1  x   1
4 3

38.
1
1
 4 x  1  7   6 x  2 
2
4
39.
3
2 5
x 
4
3 6
40.
1
1 11
x 
3
2 12
41.
2
1
3
m   2m 
3
5
10
42.
1
1 3
2
x  x
4
2 4
3
43.
33 3  3
  x 
2  5 4  10
45. 6(3  x)  5(2 x  9)  18
44. 7(1  s)  2(5s  4)  6s
46.
1
2
14
 x  6  x 
3
5
15