Transformations: Explore Shapes and Motion in Math

Question 1

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

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 2

What is the effect of translating a figure 5 units to the right?

Accepted Answer

The figure moves 5 units to the right.

Answer

The figure moves 5 units up.

Answer

The figure moves 5 units down.

Answer

The figure moves 5 units to the left.

Question 3

What is the rule for translating a figure 3 units up?

Accepted Answer

(x, y) -> (x, y + 3)

Answer

(x, y) -> (x + 3, y)

Answer

(x, y) -> (x - 3, y)

Answer

(x, y) -> (x, y - 3)

Question 4

Which transformation flips a figure over the x-axis?

Accepted Answer

Horizontal reflection

Answer

Vertical reflection

Answer

Horizontal translation

Answer

Vertical translation

Question 5

Which transformation preserves the size and shape of a figure?

Accepted Answer

Isometry

Answer

Similarity

Answer

Congruence

Answer

Symmetry

Question 6

In a reflection transformation, the shape is flipped over a:

Accepted Answer

Line

Answer

Point

Answer

Plane

Answer

Triangle

Question 7

When a shape is turned around a fixed point, it is called a:

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Stretching

Question 8

Which of the following transformations would create a mirror image of a shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Enlargement

Question 9

If a shape is reflected over the y-axis, what will happen to its x-coordinate?

Accepted Answer

It will change sign.

Answer

It will double.

Answer

It will stay the same.

Answer

It will triple.

Question 10

Which of these is NOT a type of transformation that moves a shape?

Accepted Answer

Stretching

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 11

What happens to a shape when it's reflected over the x-axis?

Accepted Answer

It flips horizontally

Answer

It flips vertically

Answer

It rotates 180 degrees

Answer

It stays the same

Question 12

Which of these describes a rotation?

Accepted Answer

Turning a shape around a fixed point

Answer

Flipping a shape over a line

Answer

Moving a shape from one point to another

Answer

Enlarging or shrinking a shape

Question 13

When a shape is turned 90 degrees clockwise, what is the angle of rotation?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

180 degrees

Answer

270 degrees

Question 14

What is the line of symmetry for a circle?

Accepted Answer

Any line through the center

Answer

Only the horizontal line

Answer

Only the vertical line

Answer

No lines of symmetry

Question 15

Which transformation would map a figure onto itself?

Accepted Answer

Rotation of 180 degrees around the center

Answer

Reflection over the y-axis

Answer

Translation of 3 units to the right

Answer

Dilation by a scale factor of 2

Question 16

Which transformation turns a shape around a specific point?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Question 17

Which of these is NOT a property of a reflection?

Accepted Answer

Changes the size of the original shape

Answer

Creates a mirror image of the original shape

Answer

Keeps the distance between points the same

Question 18

Which of these transformations is NOT rigid?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Question 19

If a square is rotated 180 degrees around its center, what shape does it become?

Accepted Answer

Another square

Answer

A rectangle

Answer

A parallelogram

Question 20

Which transformation changes the size or shape of a figure? Explain how it differs from a rigid transformation.

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 21

When a shape is translated, what happens to its size?

Accepted Answer

The size remains the same.

Answer

The size is doubled.

Answer

The size is halved.

Answer

The size cannot be determined.

Question 22

Which of these is NOT a type of transformation we have learned?

Accepted Answer

Stretching

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 23

A rotation turns a shape around a:

Accepted Answer

Point

Answer

Line

Answer

Corner

Answer

Edge

Question 24

If you translate a shape 5 units to the right, what would be the new x-coordinate of the shape?

Accepted Answer

x + 5

Answer

x - 5

Answer

y + 5

Answer

y - 5

Question 25

If you reflect a shape over the x-axis, what happens to the y-coordinates of the shape?

Accepted Answer

They change sign

Answer

They stay the same

Answer

They double

Answer

They halve

Question 26

Which of the following is NOT a type of transformation we have learned about?

Accepted Answer

Stretching

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 27

What happens to the shape when it is translated?

Accepted Answer

Moves without changing shape

Answer

Changes size

Answer

Flips over a line

Answer

Rotates around a point

Question 28

What is the line that the shape flips over in a reflection called?

Accepted Answer

Axis of symmetry

Answer

Median

Answer

Perpendicular bisector

Answer

Angle bisector

Question 29

If a shape is moved 3 units to the right and 2 units up, what are the coordinates of its new position?

Accepted Answer

(3, 2)

Answer

(2, 3)

Answer

(-3, -2)

Answer

(2, -3)

Question 30

Which transformation would create an image that is a mirror image of the original shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 31

If a triangle is turned 90 degrees counterclockwise, what will happen to its position?

Accepted Answer

Turns on its side

Answer

Flips over

Answer

Moves to a new position

Answer

Stays the same

Question 32

Which of the following transformations moves a shape from one place to another without changing its size or shape?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 33

A reflection flips a shape over a straight _____.

Accepted Answer

Line

Answer

Point

Answer

Plane

Question 34

A rotation turns a shape around a _____.

Accepted Answer

Point

Answer

Line

Answer

Plane

Question 35

Which transformation creates a mirror image of a shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 36

When a shape is moved 5 units to the right, what are the new coordinates of the shape if its original coordinates were (2, 3)?

Accepted Answer

(7, 3)

Answer

(2, 8)

Answer

(5, 3)

Question 37

Which of the following is NOT a transformation?

Accepted Answer

Making a shape bigger

Answer

Moving a shape

Answer

Flipping a shape over a line

Question 38

A shape is turned 90 degrees to the right. What is the direction of the shape now?

Accepted Answer

On its side

Answer

Upright

Answer

Upside down

Question 39

Which transformation would you use to create a shape that is exactly the same shape and size as the original but flipped left to right?

Accepted Answer

Flipping a shape over a line

Answer

Moving a shape

Answer

Turning a shape

Question 40

Which transformation moves a shape from one place to another without rotating or flipping it?

Accepted Answer

Translation

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 41

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

Accepted Answer

They change sign.

Answer

They stay the same.

Answer

They halve.

Answer

They double.

Question 42

Which transformation involves making a figure bigger or smaller?

Accepted Answer

Dilation

Answer

Reflection

Answer

Rotation

Answer

Translation

Question 43

What is the rotation angle for a transformation that maps a point (x, y) to (-x, -y)?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 44

Which transformation flips a shape across a line, creating a mirror image?

Accepted Answer

Reflection

Answer

Dilation

Answer

Translation

Answer

Rotation

Question 45

In a translation, a shape moves from one point to another without changing its shape or size. What is the rule for translating a shape 5 units to the right?

Accepted Answer

(x + 5, y)

Answer

(y + 5, x)

Answer

(x - 5, y)

Answer

(x, y + 5)

Question 46

After a reflection across the x-axis, what are the coordinates of the image of the point (2, 3)?

Accepted Answer

(2, -3)

Answer

(-2, -3)

Answer

(3, 2)

Question 47

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

Accepted Answer

Changes the shape of the figure

Answer

Preserves the distance between points

Answer

Moves the figure without rotating or flipping it

Answer

Maintains the orientation of the figure

Question 48

Which transformations result in a figure that is the same shape and size as the original figure?

Accepted Answer

Translation or rotation

Answer

Reflection

Answer

None of the above

Answer

Dilation