Geometry: Position and Direction - Interactive Learning Quizzes

Question 1

What does it mean when lines or objects are 'perpendicular'?

Accepted Answer

They meet at a right angle (90 degrees).

Answer

They are the same length.

Answer

They run side-by-side without crossing.

Question 2

You're standing on a compass with the letters N, E, S, and W marked on it, representing North, East, South, and West. The compass needle points east. Which direction are you facing?

Accepted Answer

East

Answer

North

Answer

South

Answer

West

Question 3

A pattern has shapes that repeat in a specific order. The pattern is repeated by turning each shape 120 degrees clockwise around a central point. What type of symmetry does this pattern show?

Accepted Answer

Rotational symmetry

Answer

Line symmetry

Answer

Translational symmetry

Question 4

What is the main difference between absolute and relative direction?

Accepted Answer

Absolute direction is fixed, while relative direction changes based on your position.

Answer

Relative direction is fixed, while absolute direction changes based on your position.

Answer

Absolute direction is used for location, while relative direction is used for movement.

Answer

Relative direction is used for location, while absolute direction is used for movement.

Question 5

Which triangle has all three angles measuring 60 degrees?

Accepted Answer

Equilateral triangle

Answer

Right triangle

Answer

Scalene triangle

Question 6

An object travels 10 kilometers east and then 5 kilometers north. How far has the object travelled in total?

Accepted Answer

15 kilometers

Answer

5 kilometers

Answer

10 kilometers

Answer

20 kilometers

Question 7

Which type of symmetry does a cube possess?

Accepted Answer

Both rotational and reflective symmetry

Answer

Rotational symmetry only

Answer

Reflective symmetry only

Question 8

Find the point on the coordinate plane with coordinates (2, -3) and describe its position.

Accepted Answer

2 units right and 3 units down

Answer

2 units left and 3 units up

Answer

3 units right and 2 units down

Answer

3 units left and 2 units up

Question 9

What is the name of the shape with 4 equal sides and 4 right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 10

Which direction is the opposite of north?

Accepted Answer

South

Answer

East

Answer

West

Answer

Up

Question 11

Which of the following is a turn to the right?

Accepted Answer

Clockwise

Answer

Anti-clockwise

Answer

Upward

Answer

Downward

Question 12

Which of the following is a 3-dimensional shape?

Accepted Answer

Cube

Answer

Circle

Answer

Square

Answer

Triangle

Question 13

What is the size of the inside of a circle with a radius of 3 cm?

Accepted Answer

9π cm²

Answer

12π cm²

Answer

27π cm²

Answer

36π cm²

Question 14

What happens to the x-coordinate of a shape when it is reflected over the y-axis?

Accepted Answer

It is multiplied by -1

Answer

It increases

Answer

It decreases

Answer

It stays the same

Question 15

Which of these is not a unit of distance?

Accepted Answer

Hour

Answer

Meter

Answer

Kilometer

Answer

Centimeter

Question 16

What is the name of the line that passes through the center of a circle?

Accepted Answer

Diameter

Answer

Radius

Answer

Chord

Answer

Tangent

Question 17

What's the difference between a regular polygon and an irregular polygon?

Accepted Answer

A regular polygon has equal sides and equal angles, while an irregular polygon does not.

Answer

An irregular polygon has equal sides and equal angles, while a regular polygon does not.

Answer

A regular polygon has equal sides but not equal angles, while an irregular polygon has equal angles but not equal sides.

Answer

A regular polygon has equal angles but not equal sides, while an irregular polygon has equal sides but not equal angles.

Question 18

Which of the following is an angle that measures more than 90 degrees but less than 180 degrees?

Accepted Answer

Obtuse angle

Answer

Acute angle

Answer

Right angle

Answer

Reflex angle

Question 19

Imagine you are standing at the origin on a grid. You take 2 steps to the right and then 3 steps up. What is the coordinate of your new position?

Accepted Answer

(2, 3)

Answer

(-2, 3)

Answer

(3, -2)

Answer

(3, 2)

Question 20

A pyramid has a square base with sides measuring 4 centimeters and a height of 5 centimeters. What is the volume of the pyramid?

Accepted Answer

(1/3) * 4 * 4 * 5 cubic centimeters

Answer

(2/3) * 4 * 4 * 5 cubic centimeters

Answer

(3/3) * 4 * 4 * 5 cubic centimeters

Answer

(4/3) * 4 * 4 * 5 cubic centimeters

Question 21

On a grid, which point has the coordinates (5, 2)?

Accepted Answer

(5, 2)

Answer

(3, 4)

Answer

(2, 5)

Question 22

A car travels 100 miles east and then 50 miles west. Where is the car now?

Accepted Answer

50 miles west

Answer

50 miles east

Answer

150 miles east

Answer

150 miles west

Question 23

Which of these is NOT a direction?

Accepted Answer

Left

Answer

North

Answer

East

Answer

South

Question 24

What is the opposite direction of south-west?

Accepted Answer

North-east

Answer

North-west

Answer

South-east

Answer

East

Question 25

A ship sails 10 miles north and then turns and sails 5 miles east. Where is the ship now?

Accepted Answer

10 miles north and 5 miles east

Answer

15 miles north and 5 miles west

Answer

5 miles north and 10 miles east

Answer

5 miles south and 10 miles west

Question 26

What are the coordinates of the point that is 4 steps to the left and 3 steps down from the point (2, 5)?

Accepted Answer

(-2, 2)

Answer

(-2, 8)

Answer

(6, 2)

Answer

(6, 8)

Question 27

Which of these lines are perpendicular to each other?

Accepted Answer

Lines that meet at a right angle

Answer

Lines that meet at a 45-degree angle

Answer

Lines that are parallel

Answer

Lines that are curved

Question 28

Which of these shapes has 4 equal sides?

Accepted Answer

Square

Answer

Rectangle

Answer

Circle

Answer

Triangle

Question 29

Which of these shapes is congruent to a rectangle?

Accepted Answer

Square

Answer

Circle

Answer

Triangle

Answer

Trapezium

Question 30

Which of the following is NOT a way to group quadrilaterals?

Accepted Answer

By their area

Answer

By the length of their sides

Answer

By the size of their angles

Answer

By the shape of their sides

Question 31

If you move 4 steps to the left and 2 steps down, where will you be?

Accepted Answer

(-4, -2)

Answer

(4, 2)

Answer

(-4, 2)

Answer

(4, -2)

Question 32

Which of these shapes is the same all around?

Accepted Answer

Circle

Answer

Triangle

Answer

Square

Answer

Rectangle

Question 33

What's the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Accepted Answer

((x1 + x2) / 2, (y1 + y2) / 2)

Answer

((x1 + x2) / 2, (y1 + y2) / 4)

Answer

((x2 - x1) / 2, (y2 - y1) / 2)

Question 34

What is the name of the line that divides a shape in half?

Accepted Answer

Diameter

Answer

Radius

Answer

Chord

Answer

Tangent

Question 35

Which shape has four equal sides?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Rectangle

Question 36

What is the point where two lines meet called?

Accepted Answer

Intersection

Answer

Vertex

Answer

Midpoint

Answer

Angle

Question 37

Which of these is not a unit of angle measurement?

Accepted Answer

Centimeters

Answer

Degrees

Answer

Radians

Answer

Gradians

Question 38

What is the name of the line that divides a circle into two equal halves?

Accepted Answer

Diameter

Answer

Radius

Answer

Chord

Answer

Tangent

Question 39

Which shape has the greatest number of sides?

Accepted Answer

Hexagon

Answer

Triangle

Answer

Square

Answer

Pentagon

Question 40

What is the name of the angle that measures 90 degrees?

Accepted Answer

Right angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Reflex angle

Question 41

Which shape looks the same when folded in half in different ways?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 42

You move 3 steps to the left and then 4 steps up. Where are you now?

Accepted Answer

(-3, 4)

Answer

(3, -4)

Answer

(-4, 3)

Answer

(4, -3)

Question 43

What is the point called that is located precisely between points A and B?

Accepted Answer

Midpoint

Answer

Vertex

Answer

Origin

Answer

Endpoint

Question 44

What are the coordinates of the point that is 4 units to the left and 2 units up from the origin?

Accepted Answer

(-4, 2)

Answer

(-4, -2)

Answer

(4, 2)

Question 45

Which shape has rotational symmetry but no line of symmetry?

Accepted Answer

Circle

Answer

Equilateral triangle

Answer

Square

Question 46

What is the angle of rotation for a half-turn clockwise?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

360 degrees

Answer

45 degrees

Question 47

Which transformation moves a figure from one place to another without changing its size or shape?

Accepted Answer

Translation

Answer

Enlargement

Answer

Reflection

Answer

Rotation

Question 48

What is the name of the point at which two lines meet?

Accepted Answer

Point of intersection

Answer

Endpoint

Answer

Midpoint

Answer

Vertex

Question 49

Which shape has rotational symmetry of order 4?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Trapezoid

Question 50

Which shape is a regular polygon?

Accepted Answer

Equilateral triangle

Answer

Isosceles triangle

Answer

Scalene triangle

Answer

Parallelogram

Question 51

What is 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 52

Which direction should you move from point C to point A?

Accepted Answer

North-west

Answer

North-east

Answer

South-east

Answer

South-west

Question 53

A ship is facing North. It turns 90 degrees to the right. Which direction is it facing now?

Accepted Answer

East

Answer

South

Answer

West

Answer

North

Question 54

Find the translation vector to move the shape 3 units to the right and 2 units up.

Accepted Answer

(3, 2)

Answer

(-2, 3)

Answer

(2, 3)

Answer

(-3, -2)

Question 55

What are the coordinates of the point that is 2 squares to the right and 3 squares up from the starting point?

Accepted Answer

(2, 3)

Answer

(-2, 3)

Answer

(-2, -3)

Answer

(2, -3)

Question 56

Which of the following describes a quarter turn clockwise?

Accepted Answer

Turning 90 degrees to the right

Answer

Turning 90 degrees to the left

Answer

Turning 360 degrees

Answer

Turning 180 degrees

Question 57

In which direction would you move if you go from point A to point B, given that the coordinates of A are (1, 2) and the coordinates of B are (5, 2)?

Accepted Answer

East (right)

Answer

South (down)

Answer

North (up)

Answer

West (left)

Question 58

What transformation involves flipping a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 59

What is the length of the line segment joining point A(2, 1) and point B(6, 1)?

Accepted Answer

4 units

Answer

6 units

Answer

2 units

Question 60

Which transformation involves moving a shape without changing its size or direction?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Answer

Enlargement

Question 61

Which direction is opposite to north?

Accepted Answer

South

Answer

Northeast

Answer

West

Answer

East

Question 62

A ship sails 10 miles east and then turns and sails 5 miles west. How far east or west is the ship from its starting point?

Accepted Answer

5 miles east

Answer

5 miles west

Answer

10 miles east

Answer

15 miles east

Question 63

What are the coordinates of the point that is 3 steps to the right and 2 steps up from the origin?

Accepted Answer

(3, 2)

Answer

(2, -3)

Answer

(-3, 2)

Answer

(2, 3)

Question 64

A treasure map shows the treasure is buried 3 steps north and 2 steps east of the old oak tree. If you start at the old oak tree and follow the instructions, where would you dig for the treasure?

Accepted Answer

3 squares north and 2 squares east of the oak tree

Answer

3 squares north and 2 squares west of the oak tree

Answer

3 squares south and 2 squares west of the oak tree

Answer

2 squares north and 3 squares east of the oak tree