Geometry for Year 10: Master Shapes and Angles with Fun Quizzes

Question 1

What is the total measure of all the interior angles in a pentagon?

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 2

Which theorem states that the total measurement of the three interior angles of a triangle is always 180 degrees?

Accepted Answer

Angle Sum Theorem

Answer

Pythagorean Theorem

Answer

Triangle Inequality Theorem

Answer

Exterior Angle Theorem

Question 3

Which quadrilateral has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Trapezium

Question 4

Which feature uniquely identifies a circle from other shapes?

Accepted Answer

Equal radii from the circle's center

Answer

Symmetry around a central point

Answer

Multiple lines of symmetry

Answer

Equal angles at the shape's center

Question 5

Which property does NOT apply to parallelograms?

Accepted Answer

Diagonals do not bisect each other

Answer

Opposite sides are parallel

Answer

Opposite angles are equal

Answer

Adjacent angles are supplementary

Question 6

Which shape has 5 sides and 5 corners?

Accepted Answer

Pentagon

Answer

Triangle

Answer

Square

Answer

Hexagon

Question 7

Which property is NOT a characteristic of a rhombus?

Accepted Answer

All angles are right angles

Answer

Opposite sides are equal in length

Answer

Opposite angles are equal in measure

Answer

Diagonals intersect at right angles and bisect each other

Question 8

Which shape has four equal sides and four right angles?

Accepted Answer

Rectangle

Answer

Kite

Answer

Trapezium

Answer

Rhombus

Question 9

Find the total measure of the interior angles of a hexagon.

Accepted Answer

540 degrees

Answer

180 degrees

Answer

360 degrees

Answer

720 degrees

Question 10

What is a key characteristic of a circle?

Accepted Answer

Every point on a circle is the same distance from its center.

Answer

A circle has infinitely many sides.

Answer

Two perpendicular lines divide a circle into four equal parts.

Answer

A circle has four right angles.

Question 11

Identify a characteristic of a parallelogram:

Accepted Answer

Equal opposite sides

Accepted Answer

Diagonals that bisect each other

Answer

Equal sides

Answer

Right angles

Question 12

Which transformation alters the size of a shape?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 13

A farmer has a triangular plot of land with a base of 10 meters and a height of 8 meters. Calculate the area of the farmer's triangular plot of land.

Accepted Answer

40 square meters

Answer

20 square meters

Answer

80 square meters

Answer

160 square meters

Question 14

In a right-angled triangle, which trigonometric ratio represents the ratio of the adjacent side to the hypotenuse?

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Answer

Cosecant

Question 15

Which transformation can map a regular pentagon onto itself?

Accepted Answer

Rotation by 72 degrees

Answer

Translation by 5 units

Answer

Reflection across a vertical line

Question 16

Which transformation creates an image that is identical in size and shape to the original, but reversed left to right?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 17

What is the formula for the area of a circle with radius r cm?

Accepted Answer

πr²

Answer

πr

Answer

2πr

Answer

2πr²

Question 18

What defines similar shapes? Describe the criteria used to determine if two shapes are similar, providing examples to illustrate your answer.

Accepted Answer

Similar shapes have corresponding angles that are equal and corresponding sides that are in the same ratio.

Answer

Similar shapes have the same size and shape but may be oriented differently.

Answer

Similar shapes have the same area and perimeter.

Answer

Similar shapes are always congruent.

Question 19

Which statement accurately describes the properties of quadrilaterals?

Accepted Answer

Trapezoids have at least one pair of parallel sides.

Accepted Answer

Squares have four right angles and four equal sides.

Answer

Quadrilaterals with four equal sides are always squares.

Answer

Parallelograms and rhombuses are the same shape.

Question 20

Name and describe the three types of transformations that can be applied to a circle. Explain how each transformation affects the circle's properties, such as its radius, center, and shape.

Accepted Answer

Translation, Rotation, and Dilation

Answer

Translation, Reflection, and Rotation

Answer

Rotation, Dilation, and Inversion

Answer

Translation, Rotation, and Symmetry

Question 21

In a parallelogram, opposite sides are parallel and equal in length. If one side of a parallelogram measures 10 cm, what is the length of the side opposite to it?

Accepted Answer

10 cm

Answer

5 cm

Answer

15 cm

Answer

20 cm

Question 22

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

Accepted Answer

120°

Answer

60°

Answer

90°

Answer

180°

Question 23

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

Accepted Answer

27 cm³

Answer

9 cm³

Answer

18 cm³

Answer

54 cm³

Question 24

What is the gradient of a line that is perpendicular to the line with equation y = 3x + 2?

Accepted Answer

-1/3

Answer

1/3

Answer

3

Answer

-3

Question 25

Which of the following is the correct formula for calculating the surface area of a sphere?

Accepted Answer

4πr²

Answer

πr²

Answer

2πr²

Answer

πd²

Question 26

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

Accepted Answer

5.83 cm

Answer

4 cm

Answer

8 cm

Answer

10 cm

Question 27

Which property describes parallel lines?

Accepted Answer

They never intersect

Answer

They always intersect at 90 degrees

Answer

They are always equal in length

Answer

They are always equidistant

Question 28

What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

Accepted Answer

32 cm

Answer

13 cm

Answer

26 cm

Answer

40 cm

Question 29

Which of the following is the Pythagorean Theorem?

Accepted Answer

a² + b² = c²

Answer

a² - b² = c²

Answer

c² - a² = b²

Answer

a + b = c

Question 30

Calculate the area of a circle with a radius of 5 cm.

Accepted Answer

25π cm^2

Answer

50π cm^2

Answer

75π cm^2

Answer

100π cm^2

Question 31

What angle measure is complementary to a 45° angle?

Accepted Answer

90°

Answer

30°

Answer

45°

Answer

60°

Question 32

Find the equation of a line perpendicular to y = -x + 2 and passing through the point (-1, 3).

Accepted Answer

y = x + 4

Answer

y = -x + 2

Answer

y = x - 2

Answer

y = -x - 4

Question 33

Which shape is NOT a regular polygon?

Accepted Answer

Rectangle

Answer

Equilateral triangle

Answer

Square

Answer

Hexagon

Question 34

Which transformation does NOT preserve shape?

Accepted Answer

Enlargement

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 35

An angle is supplementary to a 50° angle. What is its measure?

Accepted Answer

115°

Answer

25°

Answer

70°

Answer

130°

Question 36

Which transformation does NOT preserve the size and shape of a figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 37

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

Accepted Answer

24 cm

Answer

12 cm

Answer

18 cm

Answer

30 cm

Question 38

Which type of symmetry involves a figure being flipped over a line?

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Answer

Glide reflection

Question 39

Which polygon has 5 sides?

Accepted Answer

Pentagon

Answer

Triangle

Answer

Quadrilateral

Answer

Hexagon

Question 40

An angle that, when combined with a 45° angle, forms a straight angle measures what number of degrees?

Accepted Answer

180°

Answer

15°

Answer

45°

Answer

135°

Question 41

What is the area (in square centimeters) of a circle with a radius of 5 centimeters?

Accepted Answer

25π

Answer

50π

Answer

75π

Answer

100π

Question 42

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

Accepted Answer

It has four equal sides

Answer

It has central symmetry

Answer

It has a constant radius

Answer

It has a circumference

Question 43

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

Accepted Answer

360 degrees

Answer

540 degrees

Answer

270 degrees

Answer

180 degrees

Question 44

Which of the following transformations does not change the shape of a figure?

Accepted Answer

Translation

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 45

Which of the following solids has a square base and triangular faces?

Accepted Answer

Pyramid

Answer

Cube

Answer

Sphere

Answer

Cylinder

Question 46

State the Pythagoras' theorem.

Accepted Answer

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Answer

In a right-angled triangle, the sum of the interior angles is 180 degrees.

Question 47

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

Accepted Answer

540 degrees

Answer

480 degrees

Answer

630 degrees

Answer

360 degrees

Question 48

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

Accepted Answer

It has four equal sides.

Answer

It has a center.

Answer

It has a constant radius.

Answer

It has a circumference.

Question 49

Which of the following transformations will not preserve the shape of a figure?

Accepted Answer

Shear

Answer

Rotation

Answer

Translation

Question 50

What is the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

a² - b² = c²

Answer

b² - c² = a²

Answer

a² + c² = b²

Question 51

What is the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm?

Accepted Answer

30 cubic centimeters

Answer

60 cubic centimeters

Answer

15 cubic centimeters

Answer

45 cubic centimeters

Question 52

Which of the following is a three-dimensional shape?

Accepted Answer

Cube

Answer

Circle

Answer

Square

Answer

Triangle

Question 53

What is the angle between the diagonals of a rectangle?

Accepted Answer

90 degrees

Answer

180 degrees

Answer

135 degrees

Answer

45 degrees

Question 54

Which transformation only changes the position of a shape without altering its size?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 55

Which polygon has all sides of equal length and all angles of equal measure?

Accepted Answer

Regular polygon

Answer

Triangle

Answer

Pentagon

Answer

Trapezoid

Question 56

Which quadrilateral has 4 equal sides and 4 right angles?

Accepted Answer

Square

Answer

Parallelogram

Answer

Rectangle

Answer

Rhombus

Question 57

What is the measurement of an angle that is a third of a right angle?

Accepted Answer

30°

Answer

45°

Answer

60°

Answer

90°

Question 58

Which formula represents the circumference of a circle with radius 'r'?

Accepted Answer

2πr

Answer

πr

Answer

4πr

Answer

πr²

Question 59

Find the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm.

Accepted Answer

30 cm³

Answer

120 cm³

Answer

15 cm³

Answer

60 cm³

Question 60

A triangle with all sides equal is called a(n):

Accepted Answer

Equilateral triangle

Answer

Scalene triangle

Answer

Isosceles triangle

Question 61

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 62

Which of the following transformations preserves the size and shape of a figure?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Answer

Dilation

Question 63

A square has a side length of 5 cm. What is its area?

Accepted Answer

25 cm²

Answer

50 cm²

Answer

15 cm²

Answer

10 cm²

Question 64

Two angles are supplementary if their sum is:

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees