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Name: __________________________________Period: _____
Practice Questions Unit 1 Test in Math III
Identify the choice that best completes the statement or answers the question.
____
1. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
a. Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
b. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.
c. Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.
d. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
____
2. Write this statement as a conditional in if-then form:
All triangles have three sides.
a. If a triangle has three sides, then all triangles have three sides.
b. If a figure has three sides, then it is not a triangle.
c. If a figure is a triangle, then all triangles have three sides.
d. If a figure is a triangle, then it has three sides.
____
3. Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is
the ____ and the part following then is the ____.
a. conditional; conclusion; hypothesis
c. conditional; hypothesis; conclusion
b. hypothesis; conclusion; conditional
d. hypothesis; conditional; conclusion
____
4. What is the conclusion of the following conditional?
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
a. The number is odd.
b. The sum of the digits of the number is divisible by 3.
c. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
d. The number is divisible by 3.
____
5. Which statement provides a counterexample to the following faulty definition?
A square is a figure with four congruent sides.
a. A six-sided figure can have four sides congruent.
b. Some triangles have all sides congruent.
c. A square has four congruent angles.
d. A rectangle has four sides.
____
6. One way to show that a statement is NOT a good definition is to find a ____.
a. converse
c. biconditional
b. conditional
d. counterexample
____
7.
and
angle.
a.
b.
are supplementary angles.
, and
. Find the measure of each
c.
d.
____
8. Complete the statement. If a transversal intersects two parallel lines, then ____ angles are
supplementary.
a. acute
c. same-side interior
b. alternate interior
d. corresponding
____
9. Name an angle supplementary to
a.
____
b.
10. In the figure shown,
a.
b.
c.
d.
c.
. Which of the following statements is false? (Not drawn to scale)
BEC and
CED are adjacent angles.
AED and
BEC are adjacent angles.
____ 11. How are the two angles related?
52°
128°
Drawing not to scale
a. vertical
b. supplementary
d.
c. complementary
d. Linear pair
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both
runways. Use this information for #12 and 13.
____ 12. If angle 8 measures 119, what is the sum of the measures of angle 1 and angle 4?
a. 122
b. 238
c. 119
d. 299
____ 13. How are
and
related?
a. corresponding angles
b. alternate interior angles
c. same-side interior angles
d. none of these
____ 14. Find the value of x.
(7x – 8)°
(6x + 11)°
Drawing not to scale
a. –19
b. 125
c. 19
____ 15. Which angles are corresponding angles?
a.
b.
c.
d. none of these
d. 55
____ 16. Complete the statement. If a transversal intersects two parallel lines, then ____.
a. corresponding angles are supplementary
b. same-side interior angles are complementary
c. alternate interior angles are congruent
d. none of these
____ 17. Which statement is true?
a.
b.
c.
d.
are same-side angles.
are same-side angles.
are alternate interior angles.
are alternate interior angles.
____ 18. Find the value of the variable if
1
2
3
and
l
4
5
6
7
m
8
a. 1
b. 2
c. 3
____ 19. Which lines, if any, can you conclude are parallel given that
with a theorem or postulate.
g
1
j
a.
b.
c.
d.
The diagram is not to scale.
2
h
k
, by the Same-Side Interior Angles Theorem
, by the Alternate Interior Angles Theorem
, by the Alternate Interior Angles Theorem
, by the Same-Side Interior Angles Theorem
d. –2
? Justify your conclusion
____ 20.
. Find the value of x for p to be parallel to q. The diagram is not to scale.
3 4
5
1 2
6
p
q
a. 114
b. 126
c. 120
d. 20
____ 21. Find the value of x for which l is parallel to m. The diagram is not to scale.
28°
l
56°
x°
m
a. 28
b. 56
____ 22. If
and
c. 84
d. 152
, what is
b
1 2
3 4
a
5 6
7 8
c
a. 90
b. 106
c. 74
d. not enough information
____ 23. Doctors are testing an experimental drug that may help heal sick patients who are infected by a certain
virus. The doctors administer the experimental drug to three patients who sign consent waivers, while
four other patients who did not want to try the experimental treatment continued with the conventional
approach that involves four different drugs simultaneously. What threatens the conclusions the doctors
can make from this study?
a. The study is not evaluator blind.
d. There is no control group.
b. The study is not subject blind.
e. The sample size is too small.
c. There is no random assignment.
____ 24.
_____ 25.
_____ 26.
If 𝒙 − 𝒙𝒓 = 𝑩, solve for B.
Prove that (𝒏 + 𝟏)𝟐 − (𝒏 − 𝟏)𝟐 simplifies to 𝟒𝒏
Fill in the blanks for the following proof
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