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Geometry
Unit 2 Quiz B PRACTICE
Name
Date
Period
Directions: This quiz is written to assess concepts from Lessons 11 & 12. Please answer
each question to the best of your ability. If the appropriate work is not shown, then points
may be deducted.
1. Complete the algebra proof below. You do not have to use all of the steps in the table. (4 pts)
5( x  10)  6  3x
x 7
Given:
Prove:
Statement
1.
2.
3.
4.
5.
6.
7.
8.
9.
Reason
5( x  10)  6  3x
5x  50  6  3x
5x 5x  50  6  3x 5x
50  6  2x
506  66  2x
56  2x
562  2x 2
28  x
x  28
2. Match each statement on the left with a justification on the right. (6 pts)
a. If RS  ST and ST  TU , then RS  TU
____
b. 3  3
____
c. If GH  JK , then JK  GH
____
d. If a  b , then a  5  b  5
____
e. If ABC is a right angle, then mABC  90
____
f. If Y is the midpoint of XZ , then XY  YZ
____
g. If C  D , then mC  mD
____
h. If G is between F and H , then FG  GH  FH
____
i.
If A and B are supplementary, then mA  mB  180 ____
j.
If JK  LM , then JK  LM
k. If 3( x  4) , then 3x  12.
l.
If BD bisects ABC , then ABD  DBC
____
____
____
a.
b.
c.
d.
e.
f.
g.
h.
i.
Def acute angle
Def obtuse angle
Def right angle
Def comp angles
Def supp angles
Def vert angles
Def lin pair
Def midpoint
Def angle bisector
j.
Def ≅ segments
k.
l.
m.
n.
o.
p.
q.
r.
Def ≅ angles
Add Prop =
Subt Prop =
Mult Prop =
Div Prop =
Ref Prop =
Symm Prop =
Trans Prop =
s.
Ref Prop ≅
t.
Symm Prop ≅
u.
v.
w.
x.
Trans Prop ≅
Distributive Prop
Angle Add Post
Seg Add Post
3. Complete the proof below by filling in the blanks. (4 pts)
Given:
1 and 2 are complementary
m1  40
Prove:
m2  50
Statement
1.
2.
3.
4.
5.
6.
Reason
m1 m2  90
Given
Substitution
40 40  m2  90  40
4. Complete the proof of the Congruent Complements Theorem below: (3 pts)
Given:
1 and 2 are complementary
2 and 3 are complementary
Prove:
1  3
Statement
1.
2.
3.
4.
5.
6.
7.
Reason
Given
m1 m2  90
Given
m2  m3  90
Substitution OR Trans Prop =
m1  m3
Definition of Congruent Angles
5. Construct the proof of the Right Angle Congruence Theorem below: (5 pts)
Given:
Prove:
1 and 2 are right angles
1  2
Statement
1.
2.
3.
4.
5.
Reason
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