Properties of Shapes: Master Geometry with Interactive Quizzes

Question 1

How do you calculate the area of a triangle?

Accepted Answer

Base multiplied by Height divided by 2

Answer

Base added to Height divided by 2

Answer

Base multiplied by Height

Answer

Height divided by Base

Question 2

What is a line of symmetry?

Accepted Answer

A line that divides a shape into two mirror images

Answer

A line that connects two points on a shape

Answer

A line that is perpendicular to a side of a shape

Answer

A line that is parallel to a side of a shape

Question 3

What is the 3D shape called that has two circular faces connected by a curved surface?

Accepted Answer

Cylinder

Answer

Cone

Answer

Sphere

Answer

Prism

Question 4

What formula is used to find the volume of a cylinder?

Accepted Answer

πr²h

Answer

2πrh

Answer

4/3πr³

Answer

πrh

Question 5

Which property does a circle NOT possess?

Accepted Answer

Parallel sides

Answer

Equal radii

Answer

No corners

Answer

A defined area

Question 6

Identify a quadrilateral with four equal sides and four right angles:

Accepted Answer

Rectangle

Answer

Trapezium

Answer

Parallelogram

Answer

Rhombus

Question 7

Determine the area of a triangle with a base of 8 cm and a height of 6 cm:

Accepted Answer

24 cm2

Answer

12 cm2

Answer

48 cm2

Answer

96 cm2

Question 8

Identify a regular polygon:

Accepted Answer

A square with four equal sides

Answer

A triangle with equal sides

Answer

A trapezoid with two parallel sides

Answer

A circle with no sides

Question 9

Calculate the volume of a cube with a side length of 5 cm:

Accepted Answer

125 cm3

Answer

25 cm3

Answer

50 cm3

Answer

250 cm3

Question 10

Which shape exhibits both rotational and reflectional symmetry?

Accepted Answer

Circle

Answer

Triangle

Answer

Rectangle

Answer

Cone

Question 11

Which line is a line of symmetry?

Accepted Answer

A line that divides a figure into two congruent halves

Answer

A line that intersects a figure at its midpoint

Answer

A line that is perpendicular to a side of a figure

Answer

A line that passes through the center of a figure

Question 12

Which figure has rotational symmetry of order 4?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 13

What is the order of rotational symmetry for a square?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 14

Which of the following is a regular polyhedron?

Accepted Answer

Cube

Answer

Cylinder

Answer

Cone

Answer

Sphere

Question 15

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

Accepted Answer

Rotational symmetry of order 5

Answer

Four equal sides

Answer

Four right angles

Answer

Two pairs of parallel sides

Question 16

A triangle with two equal sides is known as a:

Accepted Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Right-angled triangle

Question 17

Which of these shapes exhibits rotational symmetry of order 6?

Accepted Answer

Regular hexagon

Answer

Equilateral triangle

Answer

Square

Answer

Circle

Question 18

Which of these options is a net for a cube?

Accepted Answer

Six squares

Answer

A square and four rectangles

Answer

Three rectangles and a triangle

Answer

Two squares and a rectangle

Question 19

A sphere has:

Accepted Answer

No faces or edges

Answer

One face and one edge

Answer

Two faces and two edges

Answer

Three faces and three edges

Question 20

Which of the following is NOT considered a polyhedron?

Accepted Answer

Cylinder

Answer

Cube

Answer

Tetrahedron

Answer

Octahedron

Question 21

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

Accepted Answer

Four parallel sides

Answer

Four equal sides

Answer

Four right angles

Answer

Diagonals that intersect at right angles

Question 22

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Answer

3

Answer

4

Answer

8

Question 23

What is the area of a triangle with a base of 10 cm and a height of 8 cm?

Accepted Answer

40 cm²

Answer

20 cm²

Answer

60 cm²

Answer

80 cm²

Question 24

Which of the following is NOT a requirement for two shapes to be similar?

Accepted Answer

The shapes are identical.

Answer

Corresponding angles are equal.

Answer

Corresponding sides are proportional.

Answer

The shapes have the same form.

Question 25

Which angle is a right angle?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

45 degrees

Answer

60 degrees

Question 26

Which shape is a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezium

Answer

Kite

Question 27

What shape is formed by joining two congruent semicircles?

Accepted Answer

Lunula

Answer

Oval

Answer

Ellipse

Answer

Circle

Question 28

What is the measure of each interior angle in a regular octagon?

Accepted Answer

72 degrees

Answer

45 degrees

Answer

60 degrees

Answer

90 degrees

Question 29

Which of the following shapes does not share similar properties with a rectangle?

Accepted Answer

Kite

Answer

Parallelogram

Answer

Rhombus

Answer

Trapezoid

Question 30

What theorem states that the total measure of the interior angles of a triangle is always 180 degrees?

Accepted Answer

Angle sum theorem

Answer

Pythagorean theorem

Answer

Triangle inequality theorem

Answer

Euclid's theorem

Question 31

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

Accepted Answer

120 degrees

Answer

60 degrees

Answer

150 degrees

Answer

180 degrees

Question 32

Which property is NOT characteristic of a circle?

Accepted Answer

It has a finite number of sides.

Answer

All points on the circumference are the same distance from the center.

Answer

It has two perpendicular lines of symmetry.

Answer

Its diameter is double the length of its radius.

Question 33

A cube has how many edges?

Accepted Answer

12

Answer

6

Answer

8

Answer

24

Question 34

Which shape exhibits rotational symmetry of order 6?

Accepted Answer

Regular hexagon

Answer

Equilateral triangle

Answer

Square

Answer

Circle

Question 35

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

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 36

Which of these is a regular polygon?

Accepted Answer

Square

Answer

Triangle

Answer

Pentagon

Answer

Trapezium

Question 37

In a rhombus, are the diagonals perpendicular to each other?

Accepted Answer

Yes

Answer

No

Question 38

Which shape exhibits rotational symmetry of order 4?

Accepted Answer

Square

Answer

Triangle

Answer

Pentagon

Answer

Octagon

Question 39

What is the sum of interior angles in a pentagon?

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 40

Calculate the area of a parallelogram with a base of 10 cm and a height of 5 cm.

Accepted Answer

25 cm²

Answer

15 cm²

Answer

50 cm²

Answer

100 cm²

Question 41

Which of these shapes exhibits rotational symmetry of order 4?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezium

Answer

Parallelogram

Question 42

Which transformation does NOT map a shape onto itself?

Accepted Answer

Shear

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 43

Which of the following shapes has rotational symmetry of order 5?

Accepted Answer

Pentagon

Answer

Square

Answer

Hexagon

Answer

Octagon

Question 44

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

Accepted Answer

540°

Answer

360°

Answer

720°

Answer

900°

Question 45

Which of the following is a cross-section of a cylinder?

Accepted Answer

Circle

Answer

Square

Answer

Triangle

Answer

Rectangle

Question 46

What is the property of a shape that has two identical halves?

Accepted Answer

Symmetry

Answer

Congruence

Answer

Parallelism

Answer

Perpendicularity

Question 47

A triangle has angles measuring 60°, 60°, and 60°. What type of triangle is this?

Accepted Answer

Equilateral

Answer

Isosceles

Answer

Scalene

Answer

Right-angled

Question 48

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

12

Question 49

Which of the following shapes has the most edges?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Square

Answer

Pentagon

Question 50

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

Accepted Answer

A circle has four quadrants

Answer

All points on the circle are equidistant from the centre

Answer

A circle has two diameters

Answer

A circle has an infinite number of radii

Question 51

What is the area of a triangle with a base of 6 cm and a height of 4 cm?

Accepted Answer

12 cm²

Answer

10 cm²

Answer

24 cm²

Answer

48 cm²

Question 52

Which of the following shapes is a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezium

Question 53

What is the volume of a cube with a side length of 3 cm?

Accepted Answer

27 cm³

Answer

9 cm³

Answer

18 cm³

Answer

36 cm³

Question 54

What is a defining characteristic of regular polygons?

Accepted Answer

Equal side lengths and equal interior angles

Answer

Equal side lengths but unequal interior angles

Answer

Equal interior angles but unequal side lengths

Answer

Unequal side lengths and unequal interior angles

Question 55

A regular hexagon possesses:

Accepted Answer

Six equal angles and six equal sides

Answer

Five equal angles and five equal sides

Answer

Four equal angles and four equal sides

Answer

Three equal angles and three equal sides

Question 56

How many edges does a cube have?

Accepted Answer

12

Answer

6

Answer

8

Answer

16

Question 57

Given a sphere with a radius of 5 cm, calculate its surface area:

Accepted Answer

50π cm²

Answer

25π cm²

Answer

100π cm²

Answer

200π cm²

Question 58

Which property does NOT belong to a square?

Accepted Answer

Opposite sides parallel but not equal

Answer

Four equal sides

Answer

Four right angles

Answer

Equal diagonals

Question 59

A triangle with all its sides of equal length is known as an:

Accepted Answer

Equilateral triangle

Answer

Isosceles triangle

Answer

Scalene triangle

Answer

Right triangle

Question 60

Which shape has the most faces?

Accepted Answer

Cube

Answer

Pyramid

Answer

Cylinder

Answer

Cone

Question 61

A straight line that divides a circle into two equal halves is called a:

Accepted Answer

Diameter

Answer

Radius

Answer

Chord

Answer

Tangent

Question 62

The sum of the interior angles of a pentagon is:

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 63

A cone has a:

Accepted Answer

Circular base

Answer

Square base

Answer

Triangular base

Answer

Rectangular base

Question 64

The area of a triangle is calculated using the formula:

Accepted Answer

½ base × height

Answer

base × height

Answer

πr²

Answer

4/3πr³