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Properties of Quadrilaterals + Polygon Angles

Total questions: 50

Worksheet time: 3hrs 52mins

Name
Class
Date
1.

What are the characteristics of a parallelogram?

a)

Parallelogram has 2 pairs of parallel Sides

b)

Parallelogram has no parallel lines

2.

A trapezoid is a quadrilateral with exactly one set of parallel sides.

a)

TRUE

b)

FALSE

3.
A rectangle can be a trapezoid.
a)
True
b)
False
4.

Select all the true statements about the shape above.

a)

It is a quadrilateral.

b)

It has 4 right angles.

c)

It has two sets of parallel lines.

d)

It is a parallelogram.

e)

It has equal sides.

5.

My shape is a quadrilateral. It has two sets of parallel lines. It does not have any right angles, but it does have equal sides. Which one is my shape?

a)
b)
c)
d)
6.
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
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.

Bob says that the red shape is a trapezoid. Mary says that these are both trapezoids. Who is correct?

a)

Mary, because both are quadrilaterals and have one pair of parallel lines.

b)

Bob, because only the first shape has slanted lines and looks like a trapezoid.

10.

______ angles of parallelograms are congruent.

a)

Consecutive

b)

Opposite

c)

parallel

d)

diagonal

11.

The diagonals of a parallelogram _______ each other.

a)

bisect

b)

equal

c)

are perpendicular to

d)

complement

12.

All the angles in a rectangle are _____ angles.

a)

acute

b)

right

c)

obtuse

d)

bisected

13.

The _____ in a rectangle are congruent.

a)

consecutive sides

b)

diagonals

14.

All the _____ in a rhombus are congruent.

a)

diagonals

b)

angles

c)

sides

15.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
16.

This polygon is...

a)

Convex

b)

Concave (non-convex)

17.

This polygon is...

a)

Convex

b)

Concave (non-convex)

18.

What is the sum of the exterior angles of ANY polygon?

a)

180°

b)

360°

c)

540°

d)

0°

19.

What formula is used to find one exterior angle of a regular polygon?

a)

undefined 

b)

n360\frac{n}{360}  

c)

180(n−2)180\left(n-2\right)  

d)

360(n−3)360\left(n-3\right)  

20.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

21.

What is the relationship between the exterior angle of a polygon and its interior angle?

a)

They are supplementary

b)

They are equal

c)

They are complementary

d)

They are parallel

22.

Calculate the sum of the exterior angles of a decagon.

a)

180°

b)

270°

c)

360°

d)

90°

23.

Formula to calculate the sum of the interior angle measures of a polygon with 25 sides.

a)

23(180)

b)

25(180)

c)

23(25)

d)

27(180)

24.

Which of these are properties of a rectangle?

a)

Opposite sides are parallel

b)

All 4 sides are congruent

c)

All 4 angles are congruent.

d)

Opposite sides are congruent.

e)

Consecutive angles are supplementary.

25.

Which of these are properties of a rhombus?

a)

Consecutive angles are are supplementary.

b)

Opposite angles are congruent.

c)

All four angles are congruent.

d)

All four sides are congruent.

e)

Opposite sides are parallel.

26.

Which of these are properties of the diagonals of a square?

a)

Diagonals bisect each other

b)

Diagonals bisect angles of the square.

c)

Diagonals are congruent.

d)

Diagonals are perpendicular.

27.

A parallelogram with right angles is a:

a)

Square

b)

Rectangle

c)

Rhombus

28.

Is a square a rhombus?

a)

Yes

b)

No

29.

Which one is NOT a property of a Parallelogram?

a)

Opposite Sides Congruent

b)

Opposite Angles Congruent

c)

Diagonals Bisect Each other

d)

Diagonals Congruent

30.
a)
Quadrialteral
b)
Rhombus
c)
Parallelogram
d)
Trapezoid
31.

Find the measure ot angle ∠WZY\angle WZY .

a)

75

b)

105

c)

24

d)

28

32.

m∠N=m\angle N=  _______

a)

95°

b)

85°

c)

265°

d)

180°

33.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
34.
What are the values of x, y, and z?
a)
x=145, y=145,z=145
b)
x=145, y=35, z=35
c)
x=35,y=145, z=35
d)
x=35, y=35, z=145
35.
Which of these properties is NOT a property of a rhombus?
a)
Diagonals bisect each other
b)
Diagonals are perpendicular
c)
Diagonals create angle bisectors of each angle
d)
Diagonals are congruent
36.
Find the measure of angle 4
a)
50
b)
25
c)
90
d)
65
37.
What does it mean when diagonals bisect each other?
a)
Diagonals are angle bisectors
b)
Each diagonal bisects the other & the diagonal is cut in half at the intersection
c)
To draw a diagonal line
38.

True or False:

All squares are parallelograms

a)

True

b)

False

39.

True or False:

All parallelograms are squares

a)

True

b)

False

40.

True or False:

All squares are rectangles

a)

True

b)

False

41.

True or False:

All squares are rhombuses

a)

True

b)

False

42.

True or False:

All rhombuses are squares

a)

True

b)

False

43.
Find the missing angle.
a)
30°
b)
60°
c)
90°
d)
120°
44.

A polygon that has all sides congruent and all angles congruent is ______.

a)

irregular

b)

regular

c)

equilateral

d)

equiangular

45.

Name and classify the polygon. Select ALL that apply.

a)

Hexagon

b)

Heptagon

c)

Regular

d)

Irregular

e)

Convex

46.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
47.

Match the following.

a)

sum of the interior angle measure

1.

(n−2)180°\left(n-2\right)180\degree

b)

sum of the exterior angle measure

2.

360°360\degree

c)

one interior angle measure of a regular polygon

3.

(n−2)180°n\frac{\left(n-2\right)180\degree}{n}

d)

one exterior angle measure of a regular polygon

4.

360°n\frac{360\degree}{n}

e)

the number of sides of a regular polygon

5.

n

48.

The exterior angles of a convex polygon sum to:

a)

360 degrees

b)

It depends on how many sides

c)

Impossible to know

d)

180 degrees

49.

A regular polygon has 36 sides. Each exterior angle measures:

a)

360°36=10°\frac{360\degree}{36}=10\degree

b)

180°36=5°\frac{180\degree}{36}=5\degree

c)

36°36\degree

d)

360°360\degree

50.

A regular polygon has 36 sides. Each interior angle measures:

(Hint: Try to determine the exterior angle measurement first)

a)

170°170\degree

b)

180°180\degree

c)

18°18\degree

d)

15°15\degree

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