Geometry - Unit 3

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Geometry - Unit 3
Unit 3 Review Jeopardy
Transversal
Parallel
Lines
Polygons
Equations
of Lines
Proofs
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100
What type of angle pairs are shown? Are they
congruent, supplementary, or neither?
1
2
Alternate Interior Angles;
Congruent
200
What type of angle pairs are shown? Are they
congruent, supplementary, or neither?
1
2
Same-Side
Exterior Angles;
Supplementary
300
What type of angle pairs are shown? Are they
congruent, supplementary, or neither?
1
2
Vertical Angles;
Congruent
400
What type of angle pairs are shown? Are they
congruent, supplementary, or neither?
1
2
Alternate Exterior
Angles; Congruent
500
What type of angle pairs are shown? Are they
congruent, supplementary, or neither?
2
1
Same-side Interior;
Neither
100
True or False: All parallel lines are coplanar.
True
200
Find the value of the unknown angle. Justify
your answer.
125°
2
125°; Alternate Interior
Angles Theorem
300
Find the value of the unknown angle. Justify
your answer.
98°
1
82°; Same-Side
Interior Angles Theorem
400
Which lines, if any, do we know are parallel
using the given information. Justify!
1  2  180
m
l
a
2
b
1
c
l || m; Converse of SameSide Ext. Angles Theorem
500
Which lines, if any, do we know are parallel
using the given information. Justify!
1  2
m
l
2
a
b
1
c
None
100
Find the value of the variable in the following
diagram.
104°
138°
x°
87°
170° 135°
x = 86
200
Find the value of the variable in the following
diagram.
x°
49°
68°
x = 117
300
Find the measure of an interior angle of a regular
18-gon.
160°
400
Find the value of the variable in the following
diagram.
43° x°
38°
x = 99
500
Find the value of the variable in the following
diagram.
43°
x°
50°
87°
x°
x = 133
100
Find the slope between (3,-6) and (8,9)
m=3
200
Graph the equation below using the slope and
y-intercept.
7
y
3
x 5

1
1
300
Graph the equation below by finding the intercepts.
2x  4 y  12

1
1
400
Find the equation of the line parallel to the line
y + 4x = 17 through the point (-3,-5)
y + 5 = -4(x + 3)
500
Find the equation of the line perpendicular to the
line 2y - 6x = 18 through the point (8,-1)
1
y 1   (x  8)
3

100
Which definition, property, theorem, or postulate
proves the following.
If m1 m2  180 and m2  103 ,
then m1 103  180

Substitution
Property
of

Equality
200
Which definition, property, theorem, or postulate
proves the following.
If m1 103  180 ,
then m1  77

Subtraction
Property
of

Equality

300
Complete the proof of the alternate interior angles
theorem.
t
a
Given : a || b
b
4
3 2
1
Prove : 1  3
Statements
Reasons
a || b
2. 1  4
1. Given
3. 4  3
3. Vertical angles theorem
4. 1  3
4. Transitive prop of congruence
1.
2. Corresponding angles postulate



400
Complete the proof of the following theorem.
n
1
l
2
Given : n  l, and l || m
Prove : n  m
Statements
m
Reasons
1. n  l, and l || m
1. Given
2. 1 is a right 
2. Defn. of perpendicular lines
3. 2 is a right 
3. Corresp. ‘s of || lines are 
4. n  m
4. Defn. of perpendicular lines





500
Complete the proof of the converse of the alternate
interior angles theorem.
l
3
1
m
Given : 2  1
2
Prove : l || m
Statements
Reasons
1. 2  1
1. Given
2. 1  3
2. Vertical 's are 
3. 2  3
3. Transitive prop. of congruence
4.
l || m

4. Conv. of corresp. angles post.
Insert Question
Insert Answer
FINAL
JEOPARDY
Enter Title Here
?
If two lines are perpendicular to the
same line, then they are parallel to
each other. Prove from scratch.
t
m
n
1
2
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