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Polygons - Test Practice

Total questions: 80

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

All the dashed lines are midsegments. If LA = 5, then BA = ______.

a)

5

b)

10

c)

15

d)

25

2.

Which of the following is NOT correct?

a)

2(DE) = BC

b)

2(DB) = AD

c)

2(AE) = AC

d)

DE // BC

3.

QR is a midsegment of triangle FGH. Find HF?

a)

22

b)

11

c)

5.5

d)

-11

4.

Find the correct model.

a)

2(2x + 6) = 18

b)

2x + 6 = 2(18)

c)

2x + 6 = 18

d)

2(2x + 6) = 2(18)

5.

If BF=40, find FC

a)

80

b)

20

c)

10

d)

40

6.

Find x.

a)

6

b)

11

c)

17

d)

68

7.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
8.
All trapezoids have exactly one set of sides _____________.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
9.
Base angles are congruent for _______.
a)
trapezoids
b)
kites
c)
isosceles trapezoids
d)
circles
10.
The diagonals in an isosceles trapezoid are _______.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
11.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
12.
Find the measure of ∠2:
a)
96°
b)
88°
c)
84°
d)
92°
13.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
14.
Find the midsegment.
a)
11
b)
22
c)
None of these
d)
10.5
15.
Find the length of KL.
a)
10
b)
21
c)
26
d)
42
16.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
17.
Find the value of x:
a)
5
b)
7
c)
8
d)
11
18.
Kites and trapezoids are parallelograms.
a)
always
b)
sometimes
c)
never
19.
The midsegment of a trapezoid is half the sum of the bases.
a)
True
b)
False
20.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
21.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
22.
Find the measure of ∠3:
a)
90°
b)
42°
c)
48°
d)
24°
23.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
24.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
25.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
26.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
27.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
28.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
29.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
30.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
31.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
32.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
33.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
34.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
35.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
36.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
37.
The opposite sides of a parallelogram are congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
38.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
39.
Find x.
a)
103
b)
77
c)
83
d)
73
40.
Find x.
a)
89
b)
101
c)
81
d)
79
41.
The figure is a parallelogram.  
Solve for x.  
a)
9
b)
6
c)
10
d)
2
42.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

43.
  ABCD is a rectangle.    AB = 14, BC = 9, AC = 22.  Find DC.
a)
14
b)
9
c)
11
d)
22
44.
ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.    Find AD.
a)
14
b)
22
c)
9
d)
11
45.
  ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.  Find BD.
a)
11
b)
14
c)
9
d)
22
46.
The sum of all four angles in a quadrilateral is ____________.
a)
360 degrees
b)
180 degrees
c)
90 degrees
d)
supplementary
47.
A rectangle is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
48.
A rectangle is a parallelogram with 
a)
four congruent sides
b)
perpendicular diagonals 
c)
four acute angles
d)
four perpendicular sides 
49.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
50.
Consecutive angles in a parallelogram are....
a)
congruent
b)
supplementary
c)
no relationship
51.
What is the measurement of every angle in a rectangle?
a)
180˚
b)
60˚
c)
90˚
d)
20˚
52.
ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BEC. 
a)
25
b)
12
c)
130
d)
32
53.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
54.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
55.
Which quadrilateral does not have diagonals that are perpendicular?
a)
Rectangle
b)
Rhombus
c)
Square
56.

SRQP is a rhombus. If SQ=24 and RP=10, find SR.

a)

26

b)

13

c)

12

d)

5

57.
TUVW is a rhombus.  Find m∠3.
a)
62
b)
28
c)
90
d)
78
58.
Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.
a)
39
b)
4
c)
4.8
d)
-4
59.

ABCD is a square. If each side measures 23, find the value of x.

a)

2

b)

7

c)

9.7

d)

3

60.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2:5
b)
5:3
c)
3:5
d)
5:2
61.
a)
27
b)
9
c)
1
d)
6
62.
A ratio is...
a)
the difference between two numbers.
b)
a comparison of two numbers by division.
c)
a comparison of two numbers by multiplication.
d)
the sum of two numbers.
63.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
64.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
65.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
66.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
67.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
68.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
69.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
70.
What side corresponds with AB? 
a)
BC
b)
FE
c)
DE
d)
FD
71.
Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.
a)
the missing side is 12, the perimeter is 24
b)
the missing side is 12, the perimeter is 36
72.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
73.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
74.
-4√1000
a)
-400
b)
-40
c)
-400√100
d)
-40√100
75.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3
76.
√45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
77.
√36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
78.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
79.
√98a20c15
a)
7c√a¹⁰c⁷
b)
7a¹⁰c⁷√2
c)
49a¹⁰c⁷√2c
d)
7a¹⁰c⁷√2c
80.
-3√80a7
a)
4a³√5a
b)
-12a³√5a
c)
-3a³√5a
d)
-48a³√5a