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understanding quadilaterals

Total questions: 51

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

Find the measure of ONE interior angle of a regular dodecagon.

a)

150

b)

120

c)

1800

d)

20

e)

156

2.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

15

b)

17

c)

19

d)

11

3.

Find the number of sides of a regular polygon with one interior angle measuring 165⁰

a)

22

b)

24

c)

26

d)

20

4.

find the value of x

a)

88

b)

176

c)

90

d)

174

5.

Calculate the sum of the interior angle measures of a polygon with 16 sides.

a)

280

b)

3609

c)

2520

d)

509

6.

All rhombuses are parallelograms, and all rhombuses are kites. So, all kites are parallelograms.

a)

true

b)

false

c)

depends on the situation

d)

none of the above

7.

All squares are rectangles, and all squares are rhombuses. So, all rhombuses are rectangles.

a)

true

b)

false

8.

name the above polygon

a)

trapeziod

b)

parralelogram

c)

trapezoid

d)

parallelogram

9.

fill the empty box

a)

trapezium

b)

quadilateral

c)

triangle

d)

rhombus

10.

Which of the following is NOT true about Polygons?

a)

Triangles are Polygons

b)

Polygons have curved sides

c)

Polygons are made up of line segments

d)

Polygons have no open sides

HIDE ANSWER

11.

the sum of all th angles outside the polygon

a)

360

b)

180

c)

can not be told

12.

find the number of sides of a regular polygon whose eacg exterior angle has a measure of 45 degree

a)

8

b)

7

c)

12

d)

10

13.

Which of the following statements is incorrect ?

a)

A rectangle has all angles and all sides equal to each other.

b)

A hexagon as 6 sides.

c)

A regular octagon has 8 sides of equal length.

d)

A rhombus and a rectangle are irregular polygons.

14.

What is the sum of exterior angles of a quadrilateral?

a)

180

b)

90

c)

360

d)

540

15.

If a convex polygon has n sides, the no. of diagonals is given by ?

a)

n(n+3)2\frac{n\left(n+3\right)}{2} 

b)

n(n−3)2\frac{n\left(n-3\right)}{2}

c)

n+(n−3)2\frac{n+\left(n-3\right)}{2}

d)

n+(n+3)2\frac{n+\left(n+3\right)}{2}

16.

How many pairs of adjacent sides does a hexagon have ?

a)

4

b)

6

c)

8

d)

5

17.

What is the minimum interior angle possible for a regular polygon ?

a)

100

b)

60

c)

120

d)

80

18.

The quadrilateral whose diagonals bisect at right angles is ?

a)

rectangle, trapezium

b)

parallelogram, rectangle

c)

square, rhombus

d)

parallelogram, trapezium

19.

If a quadrilateral ABCD is such that AB=AD, BC=CD then it is called a ?

a)

parallelogram

b)

square

c)

rectangle

d)

kite

20.

How many diagonals does a regular hexagon have?

a)

6

b)

8

c)

9

d)

12

21.

Two adjacent angles of a parallelogram are (2y+10) and (3y-40), the measures of all the angles are ?

a)

84°,96°,84°,96° 84\degree,96\degree,84\degree,96\degree\ \ \ \ \ \ \

b)

100°,80°,100°,80°100\degree,80\degree,100\degree,80\degree

c)

82°,98°,82,98°82\degree,98\degree,82,98\degree

d)

86°,94°,86°,94°86\degree,94\degree,86\degree,94\degree

22.

Which shape is NOT a polygon?

a)
b)
c)
d)
23.

A rectangle is a quadrilateral with...

a)

4 equal sides

b)

2 pairs of parallel sides

c)

4 right angles AND two pairs of parallel lines

d)

4 right angles

24.

a rhombus is a quadrilateral with...

a)

1 pair of parallel sides

b)

2 pairs of parallel sides AND 4 equal sides

c)

2 pairs of parallel lines

d)

4 equal sides

25.

Give the specific name for this quadrilateral

a)

square

b)

rectangle

c)

rhombus

d)

trapezoid

26.
What is the name of the figure shown below? 
a)
rectangle
b)
trapezoid
c)
rhombus
d)
square
27.
Jason wants to classify the figure shown in as many ways as possible. Which shows how Jason classifies the figure? 
a)
square, trapezoid
b)
quadrilateral, rectangle
c)
rhombus, square
d)
quadrilateral, trapezoid
28.
Peter wants to classify a rectangle as many ways as possible. Which shows the correct way Peter classifies the figure? 
a)
rhombus, rectangle, quadrilateral
b)
square parallelogram, rectangle
c)
trapezoid, rectangle, quadrilateral
d)
quadrilateral, rectangle, parallelogram
29.
Miranda has four craft sticks of equal length. What are two quadrilaterals she can make with the sticks? 
a)
parallelogram and trapezoid
b)
trapezoid and rectangle
c)
rhombus and square
d)
2 rectangles that are not squares
30.
Chris has 2 short craft sticks of equal length and 2 longer craft sticks of equal length. What are two quadrilaterals he can make with the sticks? A trapezoid and square B rhombus and square C parallelogram and rectangle D trapezoid and rectangle
a)
trapezoid and rectangle
b)
parallelogram and rectangle
c)
trapezoid and square
d)
rhombus and square
31.
Alan drew a polygon with four sides and four angles. All four sides are equal. None of the angles are right angles. What figure did Alan draw?
a)
Triangle
b)
Square
c)
rhombus
d)
parallelogram
32.
Teresa drew a quadrilateral with 2 pairs of parallel sides and 4 right angles. What quadrilaterals could she have drawn?
a)
parallelogram, rhombus
b)
square, parallelogram
c)
rectangle, square
d)
rectangle, parallelogram
33.
Is a rhombus sometimes, always, or never a square? 
a)
sometimes
b)
always
c)
never
d)
I don't know
34.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
35.
What is a polygon?
a)
A closed figure made up of straight line segments
b)
An open figure made up of line segments
c)
A closed  figure with curved lines
d)
A figure with lines that intersect
36.
Name the quadrilateral that has two sets of parallel lines.
a)
Trapezoid
b)
Triangle
c)
Parallelogram
d)
Rhombus
37.
Joe sorted shapes into two groups as shown in the picture. Which rule did he use to place shapes into Group 1?
a)
polygons with at least 1 right angle
b)
polygons with 5 sides
c)
polygons with equal sides
d)
polygons with at least 1 pair of parallel sides
38.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

39.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

40.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

41.

Which of the following quadrilaterals have two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?

a)

square

b)

kite

c)

rhombus

d)

rectangle

42.

If three angles of a quadrilateral are each equal to 75, the fourth angle is

a)

150

b)

135

c)

45

d)

75

43.

for which of the following diagonal bisect each other

a)

square

b)

kite

c)

trapezium

d)

quadilateral

44.

for which of the following all angles are equal

a)

rectangle

b)

kite

c)

trapezium

d)

rhombus

45.

for which of the following diagonals are perpendicular to each other

a)

parallelogram

b)

kite

c)

trapezium

d)

rectangle

46.

for which of the following diagonals are equal

a)

trapezium

b)

rhombus

c)

square

d)

rectangle

47.

Which of the following properties describe a trapezium?

a)

A pair of opposite sides is parallel.

b)

The diagonals bisect each other.

c)

The diagonals are perpendicular to each other.

d)

The diagonals are equal.

48.

Which of the following is a property of a parallelogram?

a)

Opposite sides are parallel.

b)

The diagonals bisect each other at right angles.

c)

The diagonals are perpendicular to each other.

d)

All angles are equal.

49.

What is the maximum number of obtuse angles that a quadrilateral can have?

a)

1

b)

2

c)

3

d)

4

50.

ABCD is a rectangle & AC &BD are its diagonals.

If AC= 10 cm ,then BD is :

a)

5CM

b)

10CM

c)

15CM

d)

20CM

51.

What is the sum of two adjacent angles of a parallelogram :

a)

90

b)

120

c)

180

d)

360

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