Download Match the definition with its term. _e__1. Coplanar lines that do not

Geometry Unit 3 Practice Test
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Name:________________________
Period_______________________
Date:________________________

Match the definition with its term.
_e__1.
Coplanar lines that do not intersect.
a.
Skew Lines
_d__2.
A line that intersects two or more
coplanar lines.
b.
Interior Angles
_b__3.
Angle pairs created between two lines
cut by a transversal.
c.
Alternate Angles
_c__4.
Angle pairs on opposite sides of the
Transversal.
d.
Transversal
_a__5.
Non-coplanar lines that do not intersect.
e.
Parallel lines
6. Identify the type of special angle pair from the figure:
t
1
a)
2
b) angles 4 and 6:same side interior
4
3
c) angles 1 and 5:corresponding
6
5
m
7
n
angles 2 and 7:_alternate exterior
8
d) angles 3 and 6:alternate interior
Geometry Unit 3 Practice Test
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7. To construct a line perpendicular to AB through point C not on the line using a
compass and straight edge explain what is being done at each of the steps below:
D
E
B
A
C
a) Draw a line and then using the compass draw an arc at two separate locations on
the line.
F
D
E
B
A
C
b) Using the compass at each of the points draw two arcs to intersect at one
point on the opposite side of the line creating point f.
Geometry Unit 3 Practice Test
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F
D
E
B
A
C
c) Draw a line from point F to point C
creating the perpendicular bisector of the line.
Using the given information, find the measure of the requested numbered angles.
1
m
2
4
3
5
n
6
8 7
t
8. m∠1 = 53°. Find m∠ 3 and m∠7. m<3 = 53
m<7 =53
9. m∠5 = x+1; m∠2=x+30. Find x, m∠6, and m∠4. M<6 = 104.5 m<4 75.5
Geometry Unit 3 Practice Test
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Using the diagram above and the given information complete the following proof:
Given: ∠4 and ∠5 are supplementary.
Prove: m∥n
Statements
∠4 and ∠5 are supplementary.
m∠4+m∠5=180°
m∠4+m∠1=180°
m∠4+m∠5= m∠4+m∠1
m∠1=m∠5 (∠1≅∠5)
m∥n
Reasons
10. Given
11. Definition of Supplementary Angles
12. Corresponding Angles & substitution
13. transitive property
14. subtraction property & def of congruent
angles
15. converse of corresponding angles
Choose if the following line pairs are perpendicular (⊥), parallel (∥) or neither.
16.
x = -5
Y = -5
17.
⊥
y = ½x + 5
4y –2x = 24
∥
18.
3x+5y = 8
5y+3y = 15
19.
⊥
2x-y=8
1
y
x 11
3
neither
Geometry Unit 3 Practice Test
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20. a) Find the slope of AB with points A(1, -4) and B(3,2) 2
b) Write the equation of this line in slope intercept form.
Y = 2x -6
c) Write an equation of the line that is parallel to this line.
Y = 2x
21. In the figure below what measure of
FGH
41°.
2 x 15
l
F
G
m
41°
H
What value of x would make line l parallel to line m?
a) 58
b) 77
c) 103
d) 32