Quadrilaterals: Properties, Types, and Calculations

Question 1

Which property does NOT belong to a square?

Accepted Answer

All angles are acute angles.

Answer

All sides are equal in length.

Answer

Opposite sides are parallel.

Answer

Diagonals bisect each other perpendicularly.

Question 2

What type of quadrilateral has both four equal sides and four right angles?

Accepted Answer

Rectangle

Answer

Parallelogram

Answer

Rhombus

Answer

Trapezoid

Question 3

Which property is NOT shared by all quadrilaterals?

Accepted Answer

Diagonals that bisect each other

Answer

Four sides

Answer

Four angles

Answer

Exactly two pairs of opposite sides that are parallel

Question 4

Find the perimeter of a square with a side length of 4 cm:

Accepted Answer

16 cm

Answer

8 cm

Answer

12 cm

Answer

20 cm

Question 5

Describe the diagonals of a rhombus:

Accepted Answer

Congruent and bisect each other

Answer

Congruent and perpendicular

Answer

Perpendicular and bisect each other

Answer

Neither congruent nor perpendicular

Question 6

Calculate the area of a parallelogram with a base of 12 cm and a height of 8 cm:

Accepted Answer

96 cm²

Answer

48 cm²

Answer

144 cm²

Answer

192 cm²

Question 7

Find the area of a square with a side length of 5 cm.

Accepted Answer

25 cm²

Answer

10 cm²

Answer

20 cm²

Answer

50 cm²

Question 8

Find the perimeter of a parallelogram with a base of 8 cm and a height of 3 cm.

Accepted Answer

22 cm

Answer

11 cm

Answer

33 cm

Answer

44 cm

Question 9

Find the area of a trapezoid with bases of 6 cm and 8 cm, and a height of 4 cm.

Accepted Answer

28 cm²

Answer

14 cm²

Answer

56 cm²

Answer

112 cm²

Question 10

Find the area of a kite with diagonals of 10 cm and 12 cm.

Accepted Answer

120 cm²

Answer

60 cm²

Answer

240 cm²

Answer

480 cm²

Question 11

Which of the following is not considered a quadrilateral?

Accepted Answer

Triangle

Answer

Rectangle

Answer

Square

Answer

Parallelogram

Question 12

Which type of quadrilateral has opposite sides parallel and of equal length?

Accepted Answer

Rhombus

Answer

Rectangle

Answer

Kite

Answer

Trapezoid

Question 13

A quadrilateral with only one pair of parallel sides is known as a:

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Square

Answer

Parallelogram

Question 14

Find the area of a rectangle with a length of 6 cm and a width of 4 cm:

Accepted Answer

24 cm²

Answer

10 cm²

Answer

15 cm²

Answer

28 cm²

Question 15

What is the sum of the interior angles of a quadrilateral?

Accepted Answer

360 degrees

Answer

180 degrees

Answer

540 degrees

Answer

720 degrees

Question 16

What is the measure of one interior angle of a rectangle?

Accepted Answer

90 degrees

Answer

45 degrees

Answer

60 degrees

Answer

120 degrees

Question 17

Which of the following is a characteristic of a trapezoid?

Accepted Answer

Has exactly one pair of parallel sides

Answer

Has diagonals that are congruent

Answer

Has all sides congruent

Answer

Has interior angles that add up to 360 degrees

Question 18

Which characteristic is NOT a property of all quadrilaterals?

Accepted Answer

Four right angles

Answer

Four straight sides

Answer

Four angles

Answer

Two pairs of parallel sides

Question 19

Which type of quadrilateral has two pairs of parallel sides but no right angles?

Accepted Answer

Parallelogram

Answer

Rectangle

Answer

Square

Answer

Rhombus

Question 20

What is the formula for finding the area of a rectangle?

Accepted Answer

A = length x width

Answer

A = 2(length + width)

Answer

A = (1/2) x base x height

Answer

A = (4/3) x π x radius squared

Question 21

Which of the following is NOT a type of regular quadrilateral?

Accepted Answer

Parallelogram

Answer

Square

Answer

Rectangle

Answer

Rhombus

Question 22

What is the perimeter of a square with a side length of 6 inches?

Accepted Answer

24 inches

Answer

12 inches

Answer

18 inches

Answer

36 inches

Question 23

Calculate the area of a rhombus with diagonals of 8 cm and 6 cm

Accepted Answer

24 cm²

Answer

12 cm²

Answer

32 cm²

Answer

48 cm²

Question 24

Which is NOT a characteristic of a kite?

Accepted Answer

Four equal sides

Answer

Two pairs of congruent adjacent sides

Answer

No congruent opposite sides

Answer

Diagonals intersect at a right angle

Question 25

Find the perimeter of a parallelogram with a base of 10 cm and a height of 5 cm

Accepted Answer

30 cm

Answer

15 cm

Answer

20 cm

Answer

50 cm

Question 26

Which of the following is a trapezoid that has two sides of equal length?

Accepted Answer

Isosceles trapezoid

Answer

Right trapezoid

Answer

Regular trapezoid

Answer

Scalene trapezoid

Question 27

What is the perimeter of a rectangle with a length of 5 cm and a width of 3 cm?

Accepted Answer

20 cm

Answer

8 cm

Answer

16 cm

Answer

30 cm

Question 28

Which of the following is a rhombus that has all four sides congruent?

Accepted Answer

Square

Answer

Rectangle

Answer

Kite

Answer

Parallelogram

Question 29

Which type of quadrilateral has four sides and only one pair of congruent sides?

Accepted Answer

Kite

Answer

Trapezoid

Answer

Parallelogram

Answer

Rectangle

Question 30

What is the area of a kite with diagonals of length 8 cm and 6 cm?

Accepted Answer

24 cm²

Answer

12 cm²

Answer

48 cm²

Answer

96 cm²

Question 31

Which of the following is **not** a property of a parallelogram?

Accepted Answer

All sides are congruent.

Answer

Opposite sides are parallel and congruent.

Answer

Diagonals bisect each other.

Answer

Opposite angles are congruent.

Question 32

Which of the following is NOT a property of a parallelogram?

Accepted Answer

Opposite sides are perpendicular.

Answer

Opposite sides are parallel and congruent.

Answer

Opposite angles are congruent.

Answer

Diagonals bisect each other.

Question 33

Calculate the perimeter of a trapezoid with bases of 6 cm and 8 cm, and legs of 4 cm.

Accepted Answer

22 cm

Answer

14 cm

Answer

18 cm

Answer

26 cm

Question 34

Which of these quadrilaterals has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezoid

Question 35

Calculate the perimeter of a parallelogram with sides of 7 cm and 10 cm.

Accepted Answer

34 cm

Answer

14 cm

Answer

17 cm

Answer

70 cm

Question 36

Find the area of a square with a side length of 5 cm.

Accepted Answer

25 cm^2

Answer

10 cm^2

Answer

20 cm^2

Answer

50 cm^2

Question 37

What is the formula for finding the area of a rectangle?

Accepted Answer

Length x Width

Answer

Length + Width

Answer

½ x Base x Height

Answer

π x Radius²

Question 38

A trapezoid has bases measuring 10 cm and 15 cm, and a height of 8 cm. What is its area?

Accepted Answer

80 cm²

Answer

40 cm²

Answer

100 cm²

Answer

120 cm²

Question 39

Which of the following quadrilaterals has only one pair of parallel sides?

Accepted Answer

Trapezoid

Answer

Square

Answer

Rectangle

Answer

Rhombus

Question 40

Which property is NOT characteristic of a parallelogram?

Accepted Answer

All angles are right angles

Answer

Opposite sides are parallel

Answer

Opposite sides are equal in length

Answer

Diagonals bisect each other

Question 41

A quadrilateral with all four angles measuring 90 degrees is known as a:

Accepted Answer

Rectangle

Answer

Rhombus

Answer

Trapezoid

Answer

Kite

Question 42

If the area of a square is 144 square units, what is its perimeter?

Accepted Answer

64 units

Answer

24 units

Answer

36 units

Answer

48 units

Question 43

Which statement accurately describes a trapezoid?

Accepted Answer

One pair of opposite sides is parallel

Answer

Two pairs of opposite sides are parallel

Answer

Diagonals are of equal length

Answer

All angles are congruent

Question 44

For any quadrilateral, the sum of its interior angles is:

Accepted Answer

360 degrees

Answer

180 degrees

Answer

540 degrees

Answer

720 degrees

Question 45

Which quadrilateral has four equal sides but its opposite angles are not equal?

Accepted Answer

Rhombus

Answer

Square

Answer

Rectangle

Answer

Trapezoid

Question 46

Calculate the area of a parallelogram with a base of 10 cm and a height of 6 cm.

Accepted Answer

60 cm²

Answer

16 cm²

Answer

30 cm²

Answer

120 cm²

Question 47

Which of the following is the definition of a trapezoid?

Accepted Answer

A four-sided figure with two parallel sides.

Answer

A four-sided figure with four equal sides.

Answer

A four-sided figure with four right angles.

Answer

A four-sided figure with equal diagonals.

Question 48

Name the quadrilateral that has all four sides equal and opposite angles equal.

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Kite

Question 49

Which property is NOT true for a parallelogram?

Accepted Answer

The diagonals do not bisect each other.

Answer

Opposite sides are parallel.

Answer

Opposite angles are congruent.

Answer

Adjacent angles are supplementary.

Question 50

What is the area of a trapezoid with bases of 8 cm and 12 cm and a height of 5 cm?

Accepted Answer

75 sq cm

Answer

50 sq cm

Answer

100 sq cm

Answer

125 sq cm

Question 51

Which of the following is a characteristic of a convex quadrilateral?

Accepted Answer

All interior angles add up to 360 degrees.

Answer

All exterior angles add up to 180 degrees.

Answer

Opposite sides are parallel.

Answer

Diagonals intersect outside the quadrilateral.

Question 52

Which of the following is a parallelogram but not a rectangle?

Accepted Answer

Rhombus

Answer

Square

Answer

Kite

Answer

Trapezoid

Question 53

What is the Pythagorean Theorem used to calculate?

Accepted Answer

The length of the hypotenuse of a right triangle.

Answer

The area of a triangle.

Answer

The perimeter of a square.

Answer

The volume of a cube.

Question 54

Which of the following is a property of a trapezoid?

Accepted Answer

Opposite sides are parallel.

Answer

Diagonals are congruent.

Answer

All angles are right angles.

Answer

Has at least one pair of congruent sides.

Question 55

Which property does NOT apply to a parallelogram?

Accepted Answer

Adjacent sides are perpendicular.

Answer

Opposite sides are parallel and congruent.

Answer

Opposite angles are congruent.

Answer

Diagonals bisect each other.

Question 56

Which quadrilateral has all four sides of equal length?

Accepted Answer

Square

Answer

Trapezoid

Answer

Parallelogram

Answer

Rhombus

Question 57

Which characteristic describes a kite?

Accepted Answer

Two pairs of equal sides

Answer

Two pairs of parallel sides

Answer

Two pairs of congruent diagonals

Answer

All sides are equal

Question 58

What is the measure of one interior angle in a regular hexagon?

Accepted Answer

120 degrees

Answer

60 degrees

Answer

90 degrees

Answer

180 degrees

Question 59

Describe the diagonals of a rectangle.

Accepted Answer

Congruent and perpendicular

Answer

Congruent but not perpendicular

Answer

Perpendicular but not congruent

Answer

Neither congruent nor perpendicular

Question 60

Which of the following is NOT a property of a parallelogram?

Accepted Answer

All sides are equal

Answer

Opposite sides are parallel

Answer

Opposite angles are congruent

Answer

Diagonals intersect at right angles

Question 61

A quadrilateral with two sets of parallel sides is called a:

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Rhombus

Answer

Rectangle

Question 62

A quadrilateral with diagonals that bisect each other at right angles is a:

Accepted Answer

Square

Answer

Trapezoid

Answer

Rhombus

Answer

Rectangle

Question 63

Find the perimeter of a square with a side length of 4 centimeters.

Accepted Answer

16 centimeters

Answer

8 centimeters

Answer

12 centimeters

Answer

20 centimeters

Question 64

Find the perimeter of a rhombus with a side length of 5 centimeters.

Accepted Answer

20 centimeters

Answer

10 centimeters

Answer

15 centimeters

Answer

25 centimeters