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Geometry Chapter 6 Review

Total questions: 107

Worksheet time: 7hrs 13mins

Name
Class
Date
1.
What is NOT a property of a rectangle?
a)
Diagonals are congruent.
b)
Diagonals bisect each other.
c)
Diagonals are perpendicular.
d)
All angles are congruent.
2.
What is the name of this shape?
a)
Kite
b)
Rhombus
c)
Square
d)
Rectangle
3.

Find the value of x.

a)

x = 80 degrees

b)

x = 100 degrees

c)

x = 90 degrees

d)

x = 110 degrees

4.

Find the value of x.

a)

x = 90 degrees

b)

x = 81 degrees

c)

x = 124 degrees

d)

x = 65 degrees

5.
What do a rhombus and a rectangle have in common?
a)
they are both parallelograms
b)
they always have four right angles
c)
they are not polygons
d)
they have five sides
6.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

triangle

7.
Which quadrilateral has all right angles and all sides the same length?
a)
Rhombus
b)
Parallelogram
c)
Square
d)
Trapezoid
8.
Which quadrilateral cannot be called a parallelogram?
a)
Square
b)
Trapezoid
c)
Rectangle
d)
Rhombus
9.

Select ALL the statements that are false.

a)

All quadrilaterals have right angles.

b)

A rectangle is a parallelogram.

c)

A rhombus has equal sides.

d)

Trapezoids don't have parallel lines.

e)

A triangle is a quadrilateral.

10.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

11.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

12.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

13.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
14.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
15.

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

a)

39

b)

43

c)

47

d)

51

16.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

a)

8

b)

14

c)

17

d)

19

17.

Given parallelogram ABCD, labeled as shown. Find a and b.


a)

a = 10; b = -30

b)

a = 40; b = 10

c)

a = 10; b = 40

d)

a = 40; b = -10

18.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
19.
A polygon with 5 sides is called a(n) _____________.
a)
pentagon
b)
hexagon
c)
septagon
d)
quadrilateral
20.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
21.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
22.
Find the value of the variable(s).
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
23.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
24.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
25.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
26.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
27.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
28.
Calculate the sum of the interior angle measures of a polygon with 16 sides.
a)
2880 degrees
b)
2520 degrees
c)
344 degrees
d)
360 degrees
29.
Find the angle Find the angle sum of the interior angles of the polygon. of the polygon.
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
30.
The figure is a parallelogram.  
Solve for x.  
a)
4
b)
12
c)
5
d)
2
31.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
32.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
33.
The opposite sides of a parallelogram are congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
34.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
35.
Solve for x.
a)
60
b)
120
c)
85
d)
55
36.
Solve for x. 
a)
100
b)
120
c)
125
d)
130
37.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
38.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
39.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
40.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
41.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
42.
TUVW is a rhombus.  Find m∠2.
a)
62
b)
28
c)
90
d)
78
43.
How many degrees are in a quadrilateral?
a)
180
b)
360
c)
400
d)
90
44.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
45.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
46.
What is the best definition of a rhombus? 
a)
a square with slanted sides 
b)
a parallelogram with one pair of congruent sides
c)
A parallelogram with opposite sides congruent
d)
a parallelogram with fours sides congruent 
47.
WXYZ is a parallelogram. Find XW
a)
cannot be determined
b)
3
c)
11
d)
24
48.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
49.
A rectangle is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
50.
The diagonals of a rhombus...
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
51.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
52.
a)
90
b)
45
c)
30
d)
180
53.
a)
90
b)
23
c)
22
d)
180
54.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
55.
All trapezoids have exactly one set of sides _____________.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
56.
The diagonals in an isosceles trapezoid are _______.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
57.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
58.
Find the missing angle.
a)
60
b)
120
c)
140
d)
180
59.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
60.
Find the midsegment.
a)
11
b)
22
c)
None of these
d)
10.5
61.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
62.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
63.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
64.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
65.

1) Find x in the isosceles trapezoid ABCD below.

a)

7

b)

8

c)

9

d)

10

66.

2) Find m in kite KLMN below.

a)

1

b)

2

c)

3

d)

4

67.

3) Find t in kite KLMN below.

a)

5

b)

6

c)

7

d)

8

68.

4) Find <1, <2, < 3 for the parallelogram.

a)

<1 = 101, <2 = 79, <3 = 101

b)

<1 = 79, <2 = 79, <3 = 79

c)

<1 = 101, <2 = 101, <3 = 101

d)

<1 = 79, <2 = 79, <3 = 101

69.

5) T or F? Is the quadrilateral a parallelogram?

a)

True

b)

False

70.

6) T or F? Is the quadrilateral a parallelogram?

a)

True

b)

False

71.

7) T or F? Is the quadrilateral a parallelogram?

a)

True

b)

False

72.

8) T or F? Is the quadrilateral a parallelogram?

a)

True

b)

False

73.

9) Find angles 1, 2, 3 in the rhombus.

a)

<1 = 90, <2 = 30, <3 = 60

b)

<1 = 60, <2 = 90, <3 = 30

c)

<1 = 30, <2 = 60, <3 = 90

d)

<1 = 90, <2 = 30, <3 = 60

74.

10) Find the measures of angles 1 and 2 in the kite.

a)

<1 = 90, <2 = 25

b)

<1 = 25, <2 = 90

c)

<1 = 60, <2 = 65

d)

<1 = 65, <2 = 60

75.

11) Find AC in the parallelogram.

a)

20 in

b)

22 in

c)

24 in

d)

26 in

76.

What is the sum of the exterior angles of any convex polygon in the entire universe?

a)

90°90\degree

b)

180°180\degree

c)

360°360\degree

d)

720°720\degree

77.

Which answer is a property of all parallelograms?

a)

Each pair of opposite angles is \cong .

b)

Only one pair of opposite sides is \cong .

c)

Only one pair of angles is supplementary.

d)

There are four right angles.

78.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
79.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
80.
Find the value of x.
a)
23
b)
28
c)
30
d)
Cannot be determined
81.
Find the measure of the x (midsegment):
a)
25
b)
9
c)
12
d)
15
82.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
83.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
84.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
85.

Find the length of the midsegment.

a)

26

b)

20

c)

12

d)

8

86.

Find the length of the midsegment.

a)

15

b)

11

c)

16

d)

20

87.
A trapezoid is a parallelogram.
a)
True
b)
False
88.
The midsegment of a trapezoid is half the sum of the bases.
a)
True
b)
False
89.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
90.
I have 4 sides and two sets of adjacent sides that are congruent.
a)
Retangle
b)
Trapazoid
c)
Rhombus
d)
Kite
91.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

92.
Which of the following statements is true?
a)
a kite has congruent opposite sides
b)
a kite has two pairs of congruent angles
c)
the diagonals of a kite are perpendicular
d)
the diagonals of a kite form 4 congruent triangles
93.
Which of the following statements is true?
a)
a kite has congruent opposite sides
b)
a kite has two pairs of congruent angles
c)
the diagonals of a kite are perpendicular
d)
the diagonals of a kite form 4 congruent triangles
94.
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC
95.
Which of the following statements about a kite is false?
a)
one diagonal bisects the other diagonal
b)
two angles are congruent
c)
the diagonals form 4 congruent triangles
d)
the diagonals are perpendicular
96.
Which of the following statements is true?
a)
the diagonals bisect each other
b)
the diagonals are congruent
c)
∠B and ∠D  are congruent
d)
DB bisects AC
97.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
98.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
99.
What is x?
a)
35
b)
45
c)
55
d)
90
100.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
101.
Is this a kite?
a)
Yes!
b)
No.
102.
Kite ABCD is shown.
If AC = 44, what is EC?
a)
44
b)
11
c)
88
d)
22
103.
Kite LMNO is shown.
Solve for x.
a)
32
b)
148
c)
90
d)
58
104.
Kite LMNO is shown.
Solve for x.
a)
90
b)
180
c)
60
d)
75
105.

What is the value of x, y and z on the kite.

a)

x=90

y=57

z=57

b)

x=90

y=33

z=57

c)

x=180

y=57

z=33

d)

x=33

y=57

z=90

106.

Find the value of x and y on the kite.

a)

x=12 y=6

b)

x=6 y=12

c)

x=24 y=12

d)

x=12 y=24

107.

What is the value of x on the kite.

a)

3

b)

15

c)

13

d)

23