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WorksheetsGeometry Quadrilaterals and Other Polygons
Total questions: 24
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
In quadrilateral ABCD, the diagonals are perpendicular. What quadrilaterals could this possibly be?
a)
rectangle, square, rhombus
b)
rectangle, rhombus, kite
c)
isosceles trapezoid, square, rhombus
d)
rhombus, square, kite
2.
What is the sum of the exterior angles of a 20-gon?
a)
180⁰
b)
360⁰
c)
3240⁰
d)
162⁰
3.
What is the measure of 1 INTERIOR angle of a 16-gon?
a)
2520⁰
b)
2880⁰
c)
22.5⁰
d)
157.5⁰
4.
Calculate the sum of the interior angle measures of a polygon with 25 sides.
a)
360⁰
b)
165.6⁰
c)
335⁰
d)
4140⁰
5.
What is the measure of each exterior angle of a regular octagon?
a)
45⁰
b)
360⁰
c)
1080⁰
d)
135⁰
6.
What is the sum of the exterior angles of a decagon?
a)
1440⁰
b)
360⁰
c)
540⁰
d)
144⁰
7.
Find the measure of angle E.
a)
9⁰
b)
97°
c)
48°
d)
79°
8.
Find DG.
a)
14
b)
28
c)
12
d)
16
9.
In kite ABCD, m∠BCD = 98⁰, and m∠ADE = 47⁰. Find the m∠DAE.
a)
43⁰
b)
47⁰
c)
90⁰
d)
86⁰
10.
In trapezoid EFGH, FH = 9. Find AG.
a)
2.8
b)
6.2
c)
9
d)
15.2
11.
Find the measure of ∠3:
a)
90°
b)
42°
c)
48°
d)
24°
12.
If the measure of one angle of a regular polygon is 108o, how many sides does it have?
a)
4
b)
5
c)
6
d)
7
13.
Find the value of x.
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
14.
A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
15.
Kate built a garden box with 4 sides. It has two sets of parallel sides. Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
16.
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.
17.
What is not a property of a Kite?
a)
Diagonals are perpendicular to each other.
b)
One pair of opposite angles are congruent.
c)
Two pairs of consecutive sides are congruent.
d)
Diagonals bisect each other.
18.
Find the value of x that makes the shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
19.
What is the measure of angle 1?
a)
48⁰
b)
211⁰
c)
105.5⁰
d)
360⁰
20.
Find x.
a)
35⁰
b)
45⁰
c)
55⁰
d)
90⁰
21.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
22.
VUTV is a parallelogram. Find m∠2.
a)
62⁰
b)
28⁰
c)
90⁰
d)
78⁰
23.
What is this shape?
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
24.
The figure shown is a parallelogram. Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
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