Download Review Sheet

Geometry/Trig 2
Name: __________________________
Unit 3 Review Packet
Date: ___________________________
Section I. Construct the following in the box:
a. Create scalene acute triangle ABC
b. Extend a side at vertex B to create an exterior angle
c. Label the measure of the exterior angle 3x+3
d. Let Angle A = 54⁰
e. Extend a side at vertex C to create an exterior angle.
f. Let the new exterior angle = 132
Solve for x IN TWO DIFFERENT WAYS! Show work for both processes:
Given: c ll d,
7 =
10
Prove: a ll b
Statements
Reasons
1)
1)
2)
2)
3)
3) Given
4)
5)
10 = 14
4)
5)
Section IV: Complete the table below!
Number of
Sides
Name of
polygon
Sum of
interior
angles.
Measure of each
interior angle if it
was a regular polygon
Each
exterior
angle
360
8
10
Triangle
Pentagon
900
6
a
Section V. Determine which lines, if
any, are parallel based on the given
information. If there are parallel lines,
state the reason they are parallel.
b
1 2
3 4
5 6
7 8
9 10
11 12
13 14
15 16
c
d
___________________
1.) m1 = m9
___________________
2.) m1 = m4
___________________
___________________
3.) m12 + m14 = 180
___________________
___________________
4.) m1 = m7
___________________
___________________
Section VI. Using the diagram above….Suppose c ll d ONLY! A) State the relationship of
the angles given . B) Determine if they are congruent, supplementary, or neither.
5.) m7 & m14
A: ___________________
B:_________________
2.) m12 & m14
A: ___________________
B:_________________
3.) m1 & m10
A: ___________________
B:_________________
4.) m1 & m13
A: ___________________
B:_________________
5) m6 & m3
A: ___________________
B:_________________
Geometry/Trig 2
Name: __________________________
Unit 3 Review Packet – Proofs!
Date: ___________________________
Given: AJ // CK; m1 = m5
Statements
Reasons
Prove: BD // FE
1. AJ // CK
1. __________________
2. _____________
2. If 2 lines are //, then _______________________
3. _____________
3. Given
4. _____________
4. ________________
5. BD // EF
A
5. ____________________
1
B
______________________
C
2
3
D
4
5
F
J
E
K
Given: AJ // CK; m1 = m5
Statements
Reasons
Prove: BD // FE
1. AJ // CK
1. __________________
2. _____________
2. If 2 lines are //, then _______________________
3. _____________
3. Given
4. _____________
4. ________________
5. BD // EF
A
5. ____________________
1
B
______________________
F
C
2
4
5
J
K
3
D
E