Download Name: Date: Geometry College Prep Unit 3 Quiz 1 Review Sections

Name: __________________________________
Date: ____________________
Geometry College Prep
Unit 3 Quiz 1 Review
Sections 3.5, 4.1-4.4, 4.6
1. Find the value of each variable.
x = _________°
y = _________°
z = _________°
2.
x = _________°
3. Use the diagram at the right to answer the questions.
a. Which angle is an exterior angle?
b. What are its remote interior angles?
c. Find m1 and m2.
m1 = _________°


m2 = _________°
WXYZ  JKLM. List each of the following.
4. Four pairs of congruent sides.
_________  _________
_________  _________

 _________
_________

 _________
_________
5.Four pairs of congruent angles.

 _________   _________

 _________   _________
 
 _________
  _________


 
 
 _________
  _________

 
ABCD  FGHJ. Find the measures of the given angles or lengths of the given sides.
A
D
F
J
B
C
G
H
6. mB = 3y, mG = y + 50
y = _________°
mB = _________°


mG = _________°
7. CD = 2x + 3; HJ = 3x + 2
x = _________
CD = _________

HJ = _________

Would you use SSS or SAS to prove the triangles congruent? If so, write a congruence statement. If there
is not enough information to prove the triangles congruent by SSS or SAS, write not enough information.
Explain your answer.
8.
9.
_________________________________
10.
_________________________________
_________________________________
11.
_________________________________
Name two triangles that are congruent by ASA.
12.
_________________________________
For each pair of triangles, tell why the two triangles are congruent. Give the congruence statement. Then
list all the other corresponding parts of the triangles that are congruent.
13.
14.
_________________________________
_________________________________
_________________________________
_________________________________
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Proof Practice
Complete the following proofs.
17.
Given: WVZ and VWX are right angles.
WZ  VX
Prove: WVZ  VWX
Statements
Reasons
1)
1) Given
2)
2) Given
3)
3)
4)
4) HL Theorem
18.
Given: YA  BA , B  Y
Prove: AZ  AC
Statements
Reasons
1) YA  BA , B  Y
1)
2) YAZ and BAC are vertical angles.
2) Definition of vertical angles
3) YAZ  BAC
3)
4)
4)
5)
5)
19.
Given: WU || YV , XU || ZV , WX  YZ
Prove: WXU  YZV
  
 







Statements
Reasons
1) WU || YV
1)
2) UWX  VYZ
2)

3) XU || ZV
3)
4) UXW  VZY
4)

5) WX  YZ
5)
6) WXU  YZV
6)
20. Given: B and D are right angles.
AE bisects BD
Prove: ABC  EDC
Statements
Reasons
1) B and D are right angles.
1)
AE bisects BD
2)
2)
3)
3)
4)
4)
5) ABC  EDC
5)
21. Given: BC  DC, AC  EC
Prove: ABC  EDC
Statements
Reasons
1) BC  DC, AC  EC
1)
2)
2)
3) ABC  EDC
3)
22.
a) Find the slope of the line through the given points. (3, 1), (2, 8)
m = _______________
b) Find the slope of a line parallel to the given points.
parallel slope = _______________
c) Find the slope of a line perpendicular to the given points.
perpendicular slope = _______________
23. Find the equation of a line through (5, 4), (3, 6).
equation: _________________________
24. Find the equation of a horizontal line and a perpendicular line through the point (3, 0).
equation (horizontal line): _________________________
equation (perpendicular line): _________________________