Transformations in Geometry: Master Shapes and Moves with Interactive Quizzes

Question 1

What does reflection in geometry mean?

Accepted Answer

Flipping a shape over a line

Answer

Moving a shape along a straight line

Answer

Turning a shape around a fixed point

Question 2

Which of these is NOT a feature of reflection?

Accepted Answer

Changes the way the shape is facing

Answer

Keeps the shape and size the same

Answer

Flips the shape over a line

Question 3

Which of these shapes has both a horizontal and vertical line of symmetry?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Question 4

A shape is translated 4 units to the left and 2 units down. What is the translation vector?

Accepted Answer

(-4, -2)

Answer

(4, -2)

Answer

(4, 2)

Question 5

Which of these transformations does NOT move a shape from one position to another?

Accepted Answer

Magnification

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 6

What is the result of moving a shape 5 units to the left on a coordinate plane?

Accepted Answer

Its x-coordinates decrease by 5.

Answer

Its x-coordinates increase by 5.

Answer

Its y-coordinates decrease by 5.

Answer

Its y-coordinates increase by 5.

Question 7

When we flip a shape over a line, what is the transformation called?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 8

Which statement is NOT true about rotation?

Accepted Answer

It changes the position of the shape.

Answer

It keeps the size of the shape the same.

Answer

It keeps the shape of the object the same.

Question 9

How many degrees do we turn a shape when we do a half turn?

Accepted Answer

180 degrees

Answer

45 degrees

Answer

90 degrees

Question 10

Which of these is NOT a type of transformation in geometry?

Accepted Answer

Enlargement

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 11

When a shape is translated, what happens to it?

Accepted Answer

It is moved from one place to another without changing its size or shape.

Answer

It is turned around a fixed point without changing its size or shape.

Answer

It is flipped over a line without changing its size or shape.

Answer

It is made larger or smaller without changing its shape.

Question 12

If a square is translated 3 units to the right, what are the coordinates of its new center if its original center was (1, 2)?

Accepted Answer

(4, 2)

Answer

(2, 5)

Answer

(1, 2)

Question 13

Which transformation involves turning a shape around a fixed point?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Question 14

If a triangle is rotated 90 degrees clockwise around the origin, what happens to its coordinates?

Accepted Answer

They switch signs.

Answer

They increase by 90.

Answer

They don't change.

Question 15

Which transformation involves flipping a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 16

If a circle is reflected over the y-axis, what happens to its x-coordinate?

Accepted Answer

It changes sign.

Answer

It doubles.

Answer

It remains the same.

Question 17

A shape is rotated 90 degrees clockwise and then reflected over the x-axis. What is the overall effect of these transformations?

Accepted Answer

A 180-degree rotation

Answer

A 90-degree rotation

Answer

A flip to the top

Answer

A flip to the bottom

Question 18

Which of the following is not a type of geometric transformation?

Accepted Answer

Magnification

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 19

When you move a shape from one place to another without changing its size or shape, what is this called?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Enlargement

Question 20

What happens when you rotate a shape around a fixed point?

Accepted Answer

It turns around the point

Answer

It flips over

Answer

It moves in a straight line

Answer

It gets bigger

Question 21

Which of the following is a line of symmetry?

Accepted Answer

A line that divides a shape into two identical halves

Answer

A line that divides a shape into four equal parts

Answer

A line that is perpendicular to the base of a shape

Answer

A line that is parallel to the sides of a shape

Question 22

What is the order of transformations when you first move a shape 5 centimeters to the right and then turn it 90 degrees clockwise?

Accepted Answer

Translation, then rotation

Answer

Rotation, then translation

Answer

Translation only

Answer

Rotation only

Question 23

What is the name of the point around which a shape is rotated?

Accepted Answer

Center of rotation

Answer

Point of reflection

Answer

Origin

Answer

Vertex

Question 24

Which of the following transformations can create a new shape?

Accepted Answer

Enlargement

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 25

Butterflies and snowflakes are both symmetrical. Which transformations are used to create their symmetrical patterns?

Accepted Answer

Reflection and rotation

Answer

Translation and reflection

Answer

Translation and rotation

Answer

Rotation only

Question 26

Which of the following is NOT a property of transformations?

Accepted Answer

They create a completely new shape.

Answer

They preserve the shape of the original figure.

Answer

They change the position of the original figure.

Question 27

Which of the following is NOT a transformation?

Accepted Answer

Enlargement

Answer

Reflection

Answer

Translation

Answer

Rotation

Question 28

To move a shape 5 units to the right, what kind of transformation do you need to perform first?

Accepted Answer

Translation

Answer

Enlargement

Answer

Reflection

Answer

Rotation

Question 29

What is the distance between the original point and its image after a translation of 6 units to the left?

Accepted Answer

6 units

Answer

12 units

Answer

3 units

Answer

0 units

Question 30

What happens to the size of a shape undergoing translation?

Accepted Answer

It remains the same.

Answer

It becomes larger.

Answer

It becomes distorted.

Answer

It becomes smaller.

Question 31

What best describes a rotation of 90 degrees clockwise?

Accepted Answer

A quarter turn to the right.

Answer

A half turn.

Answer

A full turn.

Answer

A quarter turn to the left.

Question 32

Where is the center of rotation when a shape is rotated 180 degrees?

Accepted Answer

The center of the shape

Answer

The bottom-right corner of the shape

Answer

The center of the bounding box of the shape

Answer

The top-left corner of the shape

Question 33

Which line is a line of symmetry for a rectangle?

Accepted Answer

Any line that passes through the midpoint and is perpendicular to a side.

Answer

Any line that passes through the center.

Answer

Any line that passes through a vertex.

Question 34

What happens to the orientation of a shape when it is reflected over a line?

Accepted Answer

It is flipped.

Answer

It is rotated.

Answer

It is translated.

Answer

It remains the same.

Question 35

What is the scale factor of a dilation that doubles a shape?

Accepted Answer

2

Answer

0.5

Answer

1

Answer

4

Question 36

To keep a shape the same size and orientation as the original shape, which sequence of transformations should be performed?

Accepted Answer

Translation, then rotation, then translation back to the original position

Answer

Dilation, then translation, then rotation

Answer

Rotation, then translation, then reflection

Question 37

Which transformation moves a shape to a new position without changing its size or shape?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Answer

Enlargement

Question 38

Which transformation creates a mirror image over a vertical line?

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Answer

Enlargement

Question 39

When a shape is reflected over the x-axis, what happens to its y-coordinates?

Accepted Answer

They change sign.

Answer

They double.

Answer

They are divided by 2.

Answer

They stay the same.

Question 40

Which transformation is NOT rigid?

Accepted Answer

Enlargement

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 41

A square is moved 3 squares to the right. Which transformation has been applied to the square?

Accepted Answer

Translation

Answer

Enlargement

Answer

Rotation

Answer

Reflection

Question 42

A triangle is flipped over a vertical line of symmetry. Which transformation has been applied to the triangle?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Enlargement

Question 43

A shape is turned 90 degrees anti-clockwise. What transformation has been applied to the shape?

Accepted Answer

Rotation

Answer

Translation

Answer

Enlargement

Answer

Reflection

Question 44

Which of the following is NOT a characteristic of a translation?

Accepted Answer

The shape changes size.

Answer

The shape moves a fixed distance.

Answer

The shape moves in a straight line.

Answer

The shape maintains its orientation.

Question 45

A rectangle is reflected over a horizontal line of symmetry. What happens to the rectangle's orientation?

Accepted Answer

It is reversed.

Answer

It is rotated 90 degrees.

Answer

It is enlarged.

Answer

It remains the same.

Question 46

A square is rotated 180 degrees. What will its final orientation be compared to its original position?

Accepted Answer

It will be facing the opposite direction.

Answer

It will be enlarged.

Answer

It will remain in the same orientation.

Answer

It will be rotated 90 degrees.

Question 47

A triangle is translated 4 squares to the left. In which direction will its vertices move?

Accepted Answer

To the left.

Answer

Upwards.

Answer

Downwards.

Answer

To the right.

Question 48

A rectangle is reflected over a vertical line of symmetry. Which side of the rectangle will be on the other side of the line?

Accepted Answer

The side that was facing the line.

Answer

Neither side will be on the other side of the line.

Answer

The side that was furthest from the line.

Answer

Both sides will be on the other side of the line.

Question 49

A circle is rotated 90 degrees clockwise. What will be the new position of the circle?

Accepted Answer

It will be in a different quadrant.

Answer

It will be on the other side of the origin.

Answer

It will remain in the same quadrant.

Question 50

You have a square and you want to create a new shape by moving it 3 squares to the right and then flipping it over a vertical line of symmetry. Which transformations are you using?

Accepted Answer

Translation and Reflection

Answer

Reflection and Enlargement

Answer

Translation and Enlargement

Answer

Rotation and Translation