Quadrilaterals: Properties, Classification, and Calculations

Question 1

A quadrilateral with all four sides congruent is a:

Accepted Answer

Rhombus

Answer

Parallelogram

Answer

Trapezoid

Answer

Kite

Question 2

Calculate the area of a parallelogram with a base of 8 cm and a height of 5 cm:

Accepted Answer

20 cm²

Answer

13 cm²

Answer

40 cm²

Answer

50 cm²

Question 3

In a rectangle, the diagonals are:

Accepted Answer

Congruent and bisect each other at right angles

Answer

Congruent but do not bisect each other

Answer

Perpendicular but not congruent

Answer

Neither congruent nor perpendicular

Question 4

Which definition correctly describes a parallelogram?

Accepted Answer

A quadrilateral with opposite sides parallel

Answer

A quadrilateral with four equal sides

Answer

A quadrilateral with four right angles

Answer

A quadrilateral with congruent diagonals

Question 5

Which quadrilateral has exactly one set of parallel sides?

Accepted Answer

Trapezoid

Answer

Kite

Answer

Rhombus

Answer

Parallelogram

Question 6

Identify the type of rhombus that is also a rectangle.

Accepted Answer

Square

Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Parallelogram

Question 7

Which of the following is NOT a type of quadrilateral?

Accepted Answer

Pentagon

Answer

Kite

Answer

Trapezoid

Answer

Parallelogram

Question 8

Identify the property of a kite that distinguishes it from other quadrilaterals.

Accepted Answer

Diagonals are perpendicular

Answer

Opposite angles are congruent

Answer

Adjacent sides are equal

Answer

Opposite sides are parallel

Question 9

Which property is NOT shared by all parallelograms?

Accepted Answer

Adjacent sides are perpendicular

Answer

Opposite sides are parallel

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Question 10

The sum of the interior angles of any quadrilateral is:

Accepted Answer

360 degrees

Answer

180 degrees

Answer

540 degrees

Answer

720 degrees

Question 11

In a rectangle, the diagonals are:

Accepted Answer

Congruent and perpendicular

Answer

Congruent and bisect each other

Answer

Perpendicular but not congruent

Answer

Neither congruent nor perpendicular

Question 12

A quadrilateral with two pairs of parallel sides is a:

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Question 13

Which of the following quadrilaterals is NOT necessarily a parallelogram?

Accepted Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Answer

Square

Question 14

Which characteristic is common to all kites?

Accepted Answer

One pair of opposite angles are congruent

Answer

Diagonals are perpendicular

Answer

Opposite sides are parallel

Answer

All sides are equal

Question 15

Calculate 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 16

A quadrilateral with four congruent sides and four right angles is known as a:

Accepted Answer

Square

Answer

Rectangle

Answer

Kite

Answer

Rhombus

Question 17

Which condition is a requirement for a quadrilateral to be a square?

Accepted Answer

All sides are congruent

Answer

Opposite sides are parallel

Answer

Diagonals are perpendicular

Answer

Opposite angles are supplementary

Question 18

What is the area of a square with a side length of 5 cm?

Accepted Answer

25 cm²

Answer

10 cm²

Answer

50 cm²

Answer

100 cm²

Question 19

Which property is common to all trapezoids?

Accepted Answer

Bases are parallel

Answer

Opposite angles are equal

Answer

Diagonals are perpendicular

Answer

All sides are equal

Question 20

Which figure is a rectangle but not a square?

Accepted Answer

A quadrilateral with two pairs of parallel sides

Answer

A quadrilateral with four equal angles

Answer

A quadrilateral with all sides equal

Answer

A quadrilateral with opposite sides equal

Question 21

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

Accepted Answer

All sides are congruent

Answer

Opposite sides are parallel

Answer

Opposite angles are congruent

Answer

Diagonals bisect each other

Question 22

What is the measure of each interior angle of a regular hexagon?

Accepted Answer

120 degrees

Answer

90 degrees

Answer

150 degrees

Answer

180 degrees

Question 23

Find the perimeter of a trapezoid with bases of length 8 cm and 12 cm, and legs of length 5 cm.

Accepted Answer

30 cm

Answer

35 cm

Answer

40 cm

Answer

25 cm

Question 24

Find the area of a rhombus with diagonals of length 6 cm and 8 cm.

Accepted Answer

24 cm²

Answer

48 cm²

Answer

12 cm²

Answer

32 cm²

Question 25

Which of the following is NOT a type of isosceles triangle?

Accepted Answer

Scalene

Answer

Obtuse

Answer

Right

Answer

Acute

Question 26

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

Accepted Answer

360 degrees

Answer

540 degrees

Answer

180 degrees

Answer

270 degrees

Question 27

Which of the following quadrilaterals cannot be inscribed in a circle?

Accepted Answer

Kite

Answer

Rectangle

Answer

Rhombus

Answer

Square

Question 28

What is the measure of each exterior angle of a regular pentagon?

Accepted Answer

72 degrees

Answer

90 degrees

Answer

108 degrees

Answer

45 degrees

Question 29

Which of the following quadrilaterals always has four right angles?

Accepted Answer

Rectangle

Answer

Trapezoid

Answer

Rhombus

Answer

Parallelogram

Question 30

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

Accepted Answer

Parallelogram

Answer

Kite

Answer

Trapezoid

Answer

Rhombus

Question 31

A square is always a:

Accepted Answer

Rhombus and a rectangle

Answer

Trapezoid and a rhombus

Answer

Kite and a rectangle

Answer

Trapezoid and a parallelogram

Question 32

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

Accepted Answer

Parallelogram

Answer

Trapezoid

Answer

Kite

Answer

Rectangle

Question 33

The diagonals of a rhombus are:

Accepted Answer

Perpendicular bisectors of each other

Answer

Perpendicular but not bisectors of each other

Answer

Congruent but not perpendicular

Answer

Parallel and congruent

Question 34

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

Accepted Answer

Trapezoid

Answer

Rhombus

Answer

Parallelogram

Answer

Kite

Question 35

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

Accepted Answer

26 cm

Answer

20 cm

Answer

13 cm

Answer

40 cm

Question 36

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

Accepted Answer

60 cm²

Answer

30 cm²

Answer

16 cm²

Answer

100 cm²

Question 37

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

Accepted Answer

Kite

Answer

Trapezoid

Answer

Rectangle

Answer

Rhombus

Question 38

In a trapezoid, the two parallel sides are called:

Accepted Answer

Bases

Answer

Diagonals

Answer

Legs

Answer

Sides