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Chapter 6 - Quadrilaterals

Total questions: 53

Worksheet time: 4hrs 1mins

Name
Class
Date
1.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
2.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
3.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
4.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
5.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
6.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
7.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
8.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
9.

Find the value of x.

a)

110

b)

90

c)

130

d)

120

10.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

11.
What is the formula for a particular exterior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
12.
What is the sum of interior angles for a pentagon?
a)
900
b)
540
c)
360
d)
108
13.
Solve for x
a)
45
b)
12
c)
90
d)
2
14.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
15.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
16.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
17.
Find the measure of angle b.
a)
b = 51
b)
b = 129
18.

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

19.
All squares are rectangles.
a)
True
b)
False
20.
All squares are rhombuses.
a)
True
b)
False
21.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
22.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
23.
The diagonals of a rhombus...
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
24.
ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.  Find ED.
a)
11
b)
22
c)
14
d)
9
25.

Find the distance of two points; (5,9) and (-7,-7)

a)

21

b)

20.5

c)

20

d)

19.5

26.

FInd the perimeter of rectangle ABCD if it is A: (-4,-1), B: (-1,-1), C: (-1,1) and D: (-4,1) in cm.

a)

11cm

b)

10cm

c)

9cm

d)

8cm

27.
The diagonals of a square are
a)
parallel
b)
congruent
c)
perpendicular
d)
congruent and perpendicular
28.
Find m∠1.
a)
62
b)
28
c)
90
d)
78
29.
Find m∠2.
a)
62
b)
28
c)
90
d)
78
30.
Find m∠3.
a)
62
b)
28
c)
90
d)
78
31.

Find m∠4.

a)

62

b)

28

c)

90

d)

78

32.

In a Trapezoid, there is exactly ___ pair(s) of parallel sides.

a)

1

b)

2

c)

3

d)

4

33.

In a Trapezoid, the parallel sides are called the _____________.

a)

Legs

b)

Bases

34.

In a Trapezoid, the consecutive angles from different bases are _______________.

a)

Congruent

b)

Complementary

c)

Bisected

d)

Supplementary

35.

In a Trapezoid, the median (or midsegment) is equal to ...

a)

Half the length of one bases

b)

The sum of the bases

c)

Half the sum of the bases

36.

CHECK ALL THAT APPLY:

In an isosceles Trapezoid, there are ....

a)

Congruent Legs

b)

Congruent Base Angles

c)

Congruent Diagonals

d)

Bisected Angles

37.

If this Trapezoid is isosceles, what is measure of angle 1?

a)

105 degrees

b)

75 degrees

38.

If this is an isosceles Trapezoid, then what is the measure of angle 2?

a)

75 degrees

b)

105 degrees

39.
Which of the following properties is true about parallelograms?
a)
Base angles are congruent.
b)
Diagonals are congruent.
c)
Opposite sides are parallel.
40.
Which of the following properties is true about rectangles?
a)
Four congruent sides.
b)
Four right angles.
c)
Diagonals bisect opposite angles.
41.
Which of the following properties is true about isosceles trapezoids?
a)
Opposite sides are parallel.
b)
Diagonals are congruent.
c)
Opposite angles are congruent.
42.
Which of the following properties is true about squares?
a)
2(midsegment) = Base 1 + Base 2
b)
Diagonals bisect opposite sides.
c)
Diagonals bisect opposite angles.
43.
Which of the following properties is true about trapezoids?
a)
2(midsegment) = Base 1 + Base 2
b)
Diagonals are congruent.
c)
Diagonals bisect opposite angles.
44.
Which of the following properties is true about rhombuses?
a)
Four congruent sides.
b)
One diagonal is the perpendicular bisector of the other diagonal.
c)
Base angles are congruent.
45.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
46.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
47.
A trapezoid is a parallelogram.
a)
True
b)
False
48.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
49.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
50.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
51.
Find the value of x.
a)
23
b)
28
c)
30
d)
Cannot be determined
52.
Find the missing base.
a)
6.6
b)
7.7
c)
8.8
d)
9.9
53.
Find the value of x.
a)
4
b)
6
c)
5
d)
129