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Geometry 1st Semester Final Review Chapter 3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. If two lines do not intersect and are not coplanar, then they must be
a. parallel
b. perpendicular
c. skew
d. coplanar
____
2. In the diagram, how many lines can be drawn through point P that are parallel to line
a.
b.
c.
d.
e.
0
1
2
3
More than 3
Completion
Complete each statement.
Use the diagram to complete each statement. Twelve lines are drawn to form a cube as shown.
1. A line parallel to
is ____________________.
2. A line perpendicular to
3. A line skew to
is ____________________.
is ____________________.
4.
Plane AFH is parallel to plane ____________________.
Use the diagram to complete the statement with corresponding, alternate interior, alternate exterior, or
consecutive interior.
5.
are ____________________ angles.
6.
are ____________________ angles.
7.
are ____________________ angles.
8.
are ____________________ angles.
9.
are ____________________ angles.
10.
are ____________________ angles.
11. Graph the following function: y = 2x - 4
12. Graph the following function: 4x + 8y = 16
13. Graph the following function: y = -
x+1
14. Graph the following function: - x - 7y = - 7
Short Answer
Find the value of x.
1.
2.
3.
4.
Using the slope, state whether the lines are parallel, perpendicular, or neither.
5.
6.
7.
8.
Write an equation of the line that passes through the point P and is parallel to the line with the given
equation.
9. P(–1, 3); y = –4x + 7
10. P(2, 5); 4x – y = –8
Write an equation of the line that passes through point p and is perpendicular to the line with the given
equation.
11. P(2, 4); y = –8x – 3
12. P(1, –2); x + y = –7
Find the slope of the line that passes through the given points.
13.
14.
Write an equation for each line.
15. contains (4,
16. contains (
); has slope
,
) and (1,
)
Geometry 1st Semester Final Review Chapter 3
Answer Section
MULTIPLE CHOICE
1. ANS: C
2. ANS: B
COMPLETION
1. ANS:
2. ANS:
3. ANS:
4. ANS: plane BGC
5. ANS: alternate interior
6. ANS: consecutive interior
7. ANS: alternate interior
8. ANS: corresponding
9. ANS: alternate exterior
10. ANS: consecutive interior
11. ANS:
12. ANS:
13. ANS:
14. ANS:
SHORT ANSWER
1. ANS:
30
2. ANS:
23
3. ANS:
110
4. ANS:
20
5. ANS:
perpendicular
6. ANS:
parallel
7. ANS:
perpendicular
8. ANS:
parallel
9. ANS:
10. ANS:
11. ANS:
12. ANS:
13. ANS:
14. ANS:
15. ANS:
16. ANS: