Quadrilaterals: Properties, Types, and Calculations

Question 1

Which type of quadrilateral has exactly one pair of parallel sides?

Accepted Answer

Trapezoid

Answer

Parallelogram

Answer

Rectangle

Answer

Rhombus

Question 2

Which property ensures that a quadrilateral is a parallelogram?

Accepted Answer

Opposite sides parallel

Answer

Opposite sides equal

Answer

Opposite angles equal

Answer

Diagonals bisect each other

Question 3

A square has a side length of 4 cm. What is the length of its diagonal?

Accepted Answer

5.66 cm

Answer

4 cm

Answer

8 cm

Answer

16 cm

Question 4

Which quadrilateral has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezoid

Question 5

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

Accepted Answer

Adjacent sides are perpendicular

Answer

Opposite sides are parallel

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Question 6

Which theorem states that the diagonals of a rhombus are perpendicular?

Accepted Answer

Rhombus Diagonal Theorem

Answer

Pythagorean Theorem

Answer

Properties of Parallelograms Theorem

Answer

Quadrilateral Angle Sum Theorem

Question 7

Identify the property of a trapezoid.

Accepted Answer

One pair of parallel sides

Answer

Two pairs of parallel sides

Answer

All angles are right angles

Answer

Diagonals are perpendicular

Question 8

Which characteristic is true for all quadrilaterals?

Accepted Answer

At least one pair of parallel sides

Answer

Exactly one pair of parallel sides

Answer

Exactly two pairs of parallel sides

Answer

No parallel sides

Question 9

Which formula can be used to calculate the area of a trapezoid?

Accepted Answer

Area = (base1 + base2) * height / 2

Answer

Area = (length + width) / 2

Answer

Area = base * height

Answer

Area = πr²

Question 10

Which characteristic is NOT true for a square?

Accepted Answer

Diagonals not perpendicular

Answer

All sides congruent

Answer

All angles congruent

Answer

Opposite sides parallel

Question 11

Find the perimeter of a rectangle with a length of 8 centimeters and a width of 5 centimeters.

Accepted Answer

26 cm

Answer

13 cm

Answer

52 cm

Answer

104 cm

Question 12

Which type of quadrilateral is a parallelogram but not a rectangle?

Accepted Answer

Rhombus

Answer

Square

Answer

Trapezoid

Answer

Kite

Question 13

Calculate the perimeter of a trapezoid with a lower base of 10 cm, an upper base of 15 cm, and a height of 6 cm.

Accepted Answer

31 cm

Answer

25 cm

Answer

50 cm

Answer

60 cm

Question 14

Identify the quadrilateral with two sets of parallel sides but no right angles.

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Parallelogram

Answer

Rhombus

Question 15

Where do the diagonals of a rhombus intersect, forming right angles?

Accepted Answer

Center

Answer

Vertices

Answer

Midpoints of the sides

Answer

Opposite corners

Question 16

Find the area of a trapezoid with bases measuring 6 cm and 10 cm, and a height of 4 cm.

Accepted Answer

32 cm²

Answer

8 cm²

Answer

16 cm²

Answer

64 cm²

Question 17

Under what condition are the diagonals of a rectangle equal in length?

Accepted Answer

The rectangle is a square

Answer

The rectangle is a parallelogram

Answer

The rectangle has equal sides

Answer

The rectangle has congruent diagonals

Question 18

Which option below is NOT a type of quadrilateral?

Accepted Answer

Pentagon

Answer

Square

Answer

Rhombus

Answer

Trapezoid

Question 19

Calculate the area of a square with a side length of 6 cm.

Accepted Answer

36 cm²

Answer

12 cm²

Answer

24 cm²

Answer

72 cm²

Question 20

Identify the characteristic that is NOT a property of a parallelogram.

Accepted Answer

Adjacent angles are supplementary.

Answer

Opposite sides are parallel.

Answer

Opposite angles are congruent.

Answer

Diagonals bisect each other.

Question 21

Identify the property that is NOT universally true about a trapezoid.

Accepted Answer

All sides are congruent

Answer

Two parallel sides

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Question 22

Which shape does NOT belong to the quadrilateral family?

Accepted Answer

Pentagon

Answer

Rectangle

Answer

Trapezoid

Answer

Kite

Question 23

Which attribute defines a trapezoid?

Accepted Answer

It has one pair of parallel sides

Answer

Its diagonals are perpendicular

Answer

Its angles are all right angles

Answer

It is a type of quadrilateral

Question 24

Which shape is not classified as a quadrilateral?

Accepted Answer

Triangle

Answer

Square

Answer

Rectangle

Answer

Parallelogram

Question 25

If the diagonals of a rhombus measure 6 centimeters and 8 centimeters, what is the area of the rhombus?

Accepted Answer

32 cm²

Answer

24 cm²

Answer

48 cm²

Answer

64 cm²

Question 26

Which property is NOT characteristic of parallelograms?

Accepted Answer

Diagonals perpendicular

Answer

Opposite sides parallel

Answer

Opposite sides congruent

Answer

Opposite angles supplementary

Question 27

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

Accepted Answer

16 cm

Answer

8 cm

Answer

12 cm

Answer

24 cm

Question 28

Calculate the area of a square with a diagonal of 5 cm.

Accepted Answer

25 cm²

Answer

12.5 cm²

Answer

50 cm²

Answer

100 cm²

Question 29

Given two quadrilaterals with identical perimeters, which shape is likely to have a greater area?

Accepted Answer

Square or rectangle

Answer

Kite

Answer

Rhombus

Answer

Parallelogram

Question 30

Which property is NOT characteristic of a rectangle?

Accepted Answer

Diagonals are of unequal length

Answer

Opposite sides are parallel

Answer

All angles are right angles

Answer

Opposite sides are congruent

Question 31

Calculate the area of a parallelogram with a base of 6 cm and a height of 4 cm

Accepted Answer

24 cm^2

Answer

12 cm^2

Answer

48 cm^2

Answer

36 cm^2

Question 32

Identify the type of quadrilateral with two pairs of congruent sides and no parallel sides

Accepted Answer

Trapezoid

Answer

Parallelogram

Answer

Rhombus

Answer

Rectangle

Question 33

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

Accepted Answer

All interior angles add up to 360 degrees

Answer

Opposite sides are parallel

Answer

Diagonals bisect each other

Answer

Opposite angles are supplementary

Question 34

Identify the type of quadrilateral that has only one pair of parallel sides

Accepted Answer

Trapezoid

Answer

Rhombus

Answer

Parallelogram

Answer

Rectangle

Question 35

Which property is NOT true for parallelograms?

Accepted Answer

All sides are congruent

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Answer

Opposite sides are parallel and congruent

Question 36

A quadrilateral has two pairs of parallel sides. Which type of quadrilateral is it?

Accepted Answer

Parallelogram

Answer

Rectangle

Answer

Trapezoid

Answer

Rhombus

Question 37

Calculate the area of a rectangle with a length of 5 cm and a width of 3 cm.

Accepted Answer

15 cm²

Answer

8 cm²

Answer

25 cm²

Answer

30 cm²

Question 38

Classify the quadrilateral with four congruent sides and four right angles.

Accepted Answer

Square

Answer

Rhombus

Answer

Rectangle

Answer

Trapezoid

Question 39

Which of the following is NOT a type of quadrilateral?

Accepted Answer

Heptagon

Answer

Rectangle

Answer

Square

Answer

Trapezoid

Question 40

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

Accepted Answer

All sides congruent

Answer

Opposite angles congruent

Answer

Opposite sides parallel

Answer

Exactly four sides

Question 41

Which of the following quadrilaterals can be both a rhombus and a rectangle?

Accepted Answer

Square

Answer

Parallelogram

Answer

Kite

Answer

Trapezoid

Question 42

Which of the following quadrilaterals always has four right angles?

Accepted Answer

Rectangle

Answer

Trapezoid

Answer

Parallelogram

Answer

Rhombus

Question 43

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

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Kite

Question 44

A square is a special type of which other quadrilateral?

Accepted Answer

Rhombus

Answer

Rectangle

Answer

Trapezoid

Answer

Kite

Question 45

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

Accepted Answer

Trapezoid

Answer

Parallelogram

Answer

Rhombus

Answer

Kite

Question 46

The perimeter of a rectangle with a length of 8 cm and a width of 5 cm is:

Accepted Answer

26 cm

Answer

40 cm

Answer

16 cm

Answer

13 cm

Question 47

A quadrilateral with all sides equal and all angles equal is a:

Accepted Answer

Square

Answer

Rectangle

Answer

Kite

Answer

Rhombus

Question 48

The area of a parallelogram with a base of 10 cm and a height of 6 cm is:

Accepted Answer

60 cm²

Answer

16 cm²

Answer

30 cm²

Answer

100 cm²

Question 49

A quadrilateral with two pairs of adjacent sides equal is called a:

Accepted Answer

Kite

Answer

Rhombus

Answer

Parallelogram

Answer

Trapezoid

Question 50

If the diagonals of a quadrilateral bisect each other at right angles, the quadrilateral must be a:

Accepted Answer

Rhombus

Answer

Trapezoid

Answer

Rectangle

Answer

Square

Question 51

A quadrilateral with four right angles and four equal sides is a:

Accepted Answer

Square

Answer

Rhombus

Answer

Rectangle