Download Honors Geometry Chapter 2 Practice Test Summer 2009

Honors Geometry
Chapter 2 Practice Test
Summer 2009
--------------------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 yesterday was Friday, then today is Saturday.
a. Hypothesis: Yesterday was Friday. Conclusion: Today is Saturday.
b. Hypothesis: Today is not Saturday. Conclusion: Yesterday was Friday.
c. Hypothesis: Today is Saturday. Conclusion: Yesterday was Friday.
d. Hypothesis: Yesterday was Friday. Conclusion: Today is not Saturday.
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. Which choice shows a true conditional with the hypothesis and conclusion identified correctly?
a. If two lines intersect at right angles, then the two lines are perpendicular.
Hypothesis: Two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
b. Two lines are parallel if the lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: Two lines are parallel.
c. If two lines intersect at right angles, then the two lines are perpendicular.
Hypothesis: Two lines are perpendicular.
Conclusion: Two lines do not intersect at right angles.
d. Two lines are perpendicular if the lines intersect at right angles.
Hypothesis: Two lines intersect at right angles.
Conclusion: Two lines are perpendicular.
5. What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
a. If an angle is not a right angle, then its measure is 90.
False
b. If an angle is not a right angle, then its measure is not 90.
True
c. If an angle has measure 90, then it is a right angle.
False
d. If an angle has measure 90, then it is a right angle.
True
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.
____
____
and
are congruent.
a.
+
= 90
c.
b.
is the complement of
.
d.
=
7. Which statement is the Law of Detachment?
a. If
is a true statement and q is true, then p is true.
b. If
is a true statement and q is true, then
is true.
c. If
and
are true, then
is a true statement.
d. If
is a true statement and p is true, then q is true.
8. Which statement is the Law of Syllogism?
a. If
is a true statement and p is true, then q is true.
b. If
is a true statement and q is true, then p is true.
c. if
and
are true statements, then
is a true statement.
d. If
and
are true statements, then
is a true statement.
Fill in each missing reason.
____
9. Given:
Find x.
,
P
, and
.
R
Q
S
Drawing not to scale
x + 3 + x + 9 = 100
2x + 12 = 100
2x = 88
x = 44
a.
b.
c.
d.
a. _____
b. Substitution Property
c. Simplify
d. _____
e. Division Property of Equality
Protractor Postulate; Addition Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
Angle Addition Postulate; Addition Property of Equality
Protractor Postulate; Subtraction Property of Equality
10. Given:
Prove:
____ 11.
____ 12.
____ 13.
____ 14.
a. a. Given
c. a. Given
b. Substitution Property
b. Symmetric Property of Equality
c. Subtraction Property of Equality
c. Subtraction Property of Equality
d. Addition Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
e. Reflexive Property of Equality
b. a. Given
d. a. Given
b. Substitution Property
b. Substitution Property
c. Subtraction Property of Equality
c. Subtraction Property of Equality
d. Division Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
e. Reflexive Property of Equality
Name the Property of Equality that justifies the statement:
If p = q, then
.
a. Reflexive Property
c. Subtraction Property
b. Multiplication Property
d. Symmetric Property
Which statement is an example of the Subtraction Property of Equality?
a. If c = d then
.
c. If c = d then
b. c = d
d. If c = d then
Name the Property of Congruence that justifies the statement:
If
.
a. Symmetric Property
c. Reflexive Property
b. Transitive Property
d. none of these
Name the Property of Congruence that justifies the statement:
If
.
a. Transitive Property
c. Reflexive Property
b. Symmetric Property
d. none of these
Use the given property to complete the statement.
____ 15. Transitive Property of Congruence
If
______.
a.
b.
____
c.
d.
16. Division Property of Equality
If
, then ______.
a.
b.
____ 17. Substitution Property of Equality
If
, then ______.
a.
b.
____ 18.
bisects
a. 26
= 7x.
b. 65
c.
d.
c.
d.
=
. Find
c. 91
d. 13
c. –15
d. 15
____ 19. Find the value of x.
(7x – 2)°
(6x + 13)°
Drawing not to scale
a. 77
b. 103
____ 20. Find the values of x and y.
5y°
3x – 8°
130°
Drawing not to scale
a. x = 46, y = 10
b. x = 10, y = 46
c. x = 130, y = 50
d. x = 50, y = 130