Download chapter 2 practice test- geometry

Name: ________________________ Class: ___________________ Date: __________
ID: A
chapter 2 practice test- geometry
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Monday, then yesterday was Saturday.
a. Hypothesis: Yesterday was Saturday. Conclusion: Tomorrow is Monday.
b. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was not Saturday.
c. Hypothesis: Yesterday was not Saturday. Conclusion: Tomorrow is Monday.
d. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was Saturday.
____
2. Which choice shows a true conditional with the hypothesis and conclusion identified correctly?
a. If today is Wednesday, then tomorrow is Thursday.
Hypothesis: Tomorrow is Thursday.
Conclusion: Today is Wednesday.
b. If today is Wednesday, then tomorrow is Thursday.
Hypothesis: Tomorrow is Thursday.
Conclusion: Today is not Wednesday.
c. Tomorrow is Thursday if today is Wednesday.
Hypothesis: Today is Wednesday.
Conclusion: Tomorrow is Thursday.
d. Tomorrow is Friday if today is Wednesday.
Hypothesis: Today is Wednesday.
Conclusion: Tomorrow is Friday.
____
3. What is the converse of the following conditional?
If a number is a natural number, then it is a whole number.
a. If a number is not a natural number, then it is not a whole number.
b. If a number is a whole number, then it is a natural number.
c. If a number is a natural number, then it is a whole number.
d. If a number is not a whole number, then it is not a natural number.
____
4. For the following true conditional statement, write the converse. If the converse is also true, combine the
statements as a biconditional.
If x = 3, then x2 = 9.
a. If x2 = 9, then x = 3. False
b. If x2 = 3, then x = 9. False
c. If x2 = 9, then x = 3. True; x = 3 if and only if x2 = 9.
d. If x2 = 9, then x = 3. True; x2 = 9 if and only if x = 3.
____
5. Which biconditional is NOT a good definition?
a. Two lines are parallel if and only if they do not intersect.
b. A whole number is even if and only if it is divisible by 2.
c. Two line segments are congruent if and only if they are of same length.
d. Three points are collinear if and only if they lie on the same line.
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Name: ________________________
____
ID: A
6. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
∠H and ∠G are congruent.
a. m∠H ≠ m∠G
b. m∠H + m∠G = 90
c.
d.
m∠H = m∠G
∠H is the complement of ∠G.
____
7. If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible,
write not possible.
Statement 1: If x = 2, then 2x – 10 = –6.
Statement 2: x = 2
a. 2x – 10 = –6
c. If 2x – 10 = –6, then x = 2.
b. x = 2
d. not possible
____
8. Use the Law of Syllogism to draw a conclusion from the two given statements.
If two lines intersect and form right angles, the lines are perpendicular.
If two lines are perpendicular, they intersect and form 90° angles.
a. The lines are perpendicular.
b. If two lines intersect and form right angles, they intersect and form 90° angles.
c. If two lines do not intersect and form 90° angles, they do not form right angles.
d. The lines intersect and form 90° angles.
Fill in each missing reason.
____
9. Given: m∠PQR = x − 1, m∠SQR = x + 5, and m∠PQS = 100.
Find x.
m∠PQR + m∠SQR = m∠PQS
x – 1 + x + 5 = 100
2x + 4 = 100
2x = 96
x = 48
a.
b.
c.
d.
a. _____
b. Substitution Property
c. Simplify
d. _____
e. Division Property of Equality
Angle Addition Postulate; Addition Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Subtraction Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
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Name: ________________________
ID: A
____ 10. Given: 8x − 4y = 7; x = 6
Prove:
41
=y
4
8x − 4y = 7; x = 6
a. ________
48 − 4y = 7
b. ________
−4y = −41
c. ________
41
4
d. ________
y=
41
=y
e. ________
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a. a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
b. a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Addition Property of Equality
e. Symmetric Property of Equality
c.
d.
a. Given
b. Symmetric Property of Equality
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Reflexive Property of Equality
____ 11. Name the Property of Congruence that justifies the statement:
If YZ ≅ WX , then WX ≅ YZ .
a. Symmetric Property
c. Reflexive Property
b. Transitive Property
d. none of these
____ 12. Name the Property of Congruence that justifies the statement:
If ∠D ≅ ∠E and ∠E ≅ ∠F, then ∠D ≅ ∠F .
a. Transitive Property
c. Reflexive Property
b. Symmetric Property
d. none of these
Use the given property to complete the statement.
____ 13. Transitive Property of Congruence
If RS ≅ UW and UW ≅ VX , then ______.
a. UW ≅ VX
b. RS ≅ VX
c.
d.
UW ≅ UW
RS ≅ UW
____ 14. Multiplication Property of Equality
If 3x ÷ 6 = 18, then ______.
a. 3x = 108
b. 18 = 3x ÷ 6
c.
d.
3x ⋅ 6 = 108
18 = 3x ⋅ 6
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Name: ________________________
ID: A
____ 15. Substitution Property of Equality
If y = 9 and 6x + y = 11 , then ______.
a. 6x + 9 = 11
b. 9 − y = 11
c.
d.
6(9) − y = 11
6x − 9 = 11
____ 16. BD bisects ∠ABC. m∠ABC = 7x. m∠ABD = 3x + 10. Find m∠DBC.
a. 30
b. 70
c. 50
d.
20
____ 17. Find the value of x.
a.
108
b.
72
c.
–17
d.
17
b.
20
c.
30
d.
150
____ 18. m∠2 = 30. Find m∠4.
a.
160
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Name: ________________________
ID: A
____ 19. Find the values of x and y.
a.
b.
x = 8, y = 62
x = 132, y = 48
c.
d.
x = 48, y = 132
x = 62, y = 8
____ 20. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not
possible.
I will score well on the exam if I study for 1 hour each day.
I will score well on the exam.
a. I study for 1 hour each day.
b. I do not study for 1 hour each day.
c. If I do well on the exam, I studied for 1 hour each day.
d. not possible
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ID: A
chapter 2 practice test- geometry
Answer Section
MULTIPLE CHOICE
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