Geometry Unit 2 Review
____
1. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
____
2. Write this statement as a conditional in if-then form:
All triangles have three sides.
____
3. Which statement is a counterexample for the following conditional?
If you live in Michigan, then you live in Dearborn.
____
4. Draw a Venn diagram to illustrate this conditional:
Cars are motor vehicles.
____
5. 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 ____.
____
6. A conditional can have a ____ of true or false.
____
8. 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.
____
9. What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
____ 10. 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.
____ 11. Which conditional has the same truth value as its converse?
If x = 7, then
.
If an angle is 180 degrees, then it is a straight angle.
If x – 17 = 4, then x = 21.
If an angle has measure 80, then it is acute.
Fill in each missing reason.
____ 12. Given:
Find x.
,
P
, and
.
R
Q
S
Drawing not to scale
x – 5 + x – 11 = 100
2x – 16 = 100
2x = 116
x = 58
a. _____
b. Substitution Property
c. Simplify
d. _____
e. Division Property of Equality
____ 13. Given:
Prove:
____ 14. Name the Property of Equality that justifies the statement:
If p = q, then
.
____ 16. Name the Property of Congruence that justifies the statement:
If
.
____ 17. Name the Property of Congruence that justifies the statement:
If
.
Use the given property to complete the statement.
____ 18. Transitive Property of Congruence
If
______.
____ 19. Multiplication Property of Equality
If
, then ______.
____ 20. Substitution Property of Equality
If
, then ______.
____ 21.
bisects
= 7x.
____ 22. Find the value of x.
(7x – 8)°
(6x + 11)°
Drawing not to scale
____ 23.
Find
1
4
2
3
Drawing not to scale
____ 24. Find the values of x and y.
4y°
112°
7x + 7°
Drawing not to scale
=
. Find
____ 25. Name the ray that is opposite
D
C
B
A
____ 26. Name the four labeled segments that are skew to
____ 27. Name the three labeled segments that are parallel to
____ 28. If
find the values of x, EF, and FG. The drawing is not to scale.
E
F
G
____ 29. If T is the midpoint of
S
T
9x
____ 30.
and
find the values of x and ST. The diagram is not to scale.
U
4x + 25
are supplementary angles.
, and
. Find the measure of each angle.