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Geometry Chapter 7

Total questions: 39

Worksheet time: 1hrs 4mins

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.
Find the measure of angle E.
a)
9⁰
b)
97°
c)
48°
d)
79°
7.
Find DG.
a)
14
b)
28
c)
12
d)
16
8.
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
9.
Find the value of x.
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
10.
Identify which statement is NOT true based on the Euler Diagram.
a)
All Squares are Quadrilaterals
b)
All Squares are Rectangles
c)
All Rectangles are Quadrilaterals
d)
Some Trapezoids are Rectangles
11.
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
12.
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.
13.
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. 
14.
Find the value of x that makes the shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
15.
What is the measure of angle 1?
a)
48⁰
b)
211⁰
c)
105.5⁰
d)
360⁰
16.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
17.
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
18.
Solve for x. 
a)
100⁰
b)
120⁰
c)
125⁰
d)
130⁰
19.

If the sum of the interior angles of a polygon is 1800 degrees, how many sides does it have?

a)

12

b)

15

c)

10

d)

11

20.

What is the measure of an interior angle of a regular nonagon?

a)

1260

b)

40

c)

140

d)

1620

21.

Find the value of x.

a)

342

b)

19

c)

18

d)

540

22.

Find the value of x.

a)

7

b)

112

c)

16

d)

135

23.

Find the value of x.

a)

360

b)

20

c)

260

d)

13

24.

If PQRS is a parallelogram, find the value of x.

a)

24

b)

1

c)

4

d)

15

25.

Determine whether the quadrilateral is a parallelogram using your choice of method.

D(-8,1), E(-3,6), F(7,4), G(2,-1)

a)

Yes

b)

No

26.

Determine whether the quadrilateral is a parallelogram using any method.

L(-1,6), M(5,9), N(0,2), P(-8,-2)

a)

Yes

b)

No

27.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
28.
Convex or Concave?
a)
Convex
b)
Concave
c)
Equilateral
d)
This shape is not a polygon
29.
How do you find the sum of the interior angles of a polygon?
a)
180(n-2)
b)
180
c)
(180(n-2))/n
d)
360
30.
How do you find one exterior angle of a regular polygon?
a)
360
b)
180(n-2)
c)
360/n
d)
((180(n-2))/n
31.
How do you find the sum of the exterior angles of a polygon?
a)
180(n-2)
b)
180
c)
(180(n-2))/n
d)
360
32.
How many sides does a Hexagon have?
a)
6
b)
4
c)
3
d)
9
33.

Has 2 pairs of parallel sides.

a)

Trapezoid

b)

Triangle

c)

Parallelogram

d)

Quadrilateral

34.
What kind of shape is this?
a)
heptagon
b)
octagon 
c)
Triangle
d)
hexagon
35.
A dodecagon has ____ sides
a)
2
b)
12
c)
20
d)
24
36.
A/an _____________ is a quadrilateral w/ 1 pair of parallel sides.
a)
parallelogram
b)
trapezoid
c)
rectangle
d)
square
37.

Solve for x

a)

20

b)

56

c)

168

d)

112

38.

How would you most accurately classify this shape?

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

39.

Find the length of the mid segment.

a)

27

b)

280.5

c)

113

d)

56.5

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