Transformations: Explore Shapes and Motion in Math

Question 1

Which transformation shifts a shape to a different position without changing its size or shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 2

How could a designer use reflection transformations to create a symmetrical flower pattern?

Accepted Answer

Reflect the flower shape across a vertical line to form its mirror image.

Answer

Rotate the flower shape 180 degrees to create its opposite.

Answer

Translate the flower shape to the right to create a copy.

Answer

Enlarge the flower shape to make it twice its size.

Question 3

If a triangle is moved 5 units to the right, what are the coordinates of its new positions?

Accepted Answer

(x+5, y)

Answer

(x, y+5)

Answer

(x, y-5)

Question 4

If a square is moved 4 units up and 2 units to the right, what are its new coordinates?

Accepted Answer

(x+4, y+2)

Answer

(x+2, y+4)

Answer

(x-4, y-2)

Question 5

For the shape below (a rectangle), which of these lines is NOT a line of symmetry?

Accepted Answer

A diagonal line joining the top left and bottom right corners

Answer

A vertical line through the middle

Answer

A horizontal line in the middle

Question 6

If we flip a triangle over the horizontal line (x-axis), what will the new triangle look like?

Accepted Answer

Exactly the same, facing the opposite way

Answer

Exactly the same, facing the same way

Answer

Different from the original

Question 7

Which of these changes does NOT keep the shape and size of a figure the same?

Accepted Answer

Both moving and turning it

Answer

Moving it from one spot to another

Answer

Turning it

Question 8

Which of these transformations creates an image that looks like the original shape in a mirror?

Accepted Answer

Flipping it over

Answer

Moving it

Answer

Turning it

Question 9

When we turn a shape around a fixed point, what is that point called?

Accepted Answer

Center of rotation

Answer

Axis of rotation

Answer

Point of symmetry

Question 10

In a translation transformation, what happens to the shape?

Accepted Answer

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

Answer

It turns around a point.

Answer

It is flipped over a line.

Answer

It is enlarged or reduced.

Question 11

Which transformation changes the size of a shape?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 12

If a square is translated 4 squares to the right, what are the new coordinates of a point that was originally at (3, 2)?

Accepted Answer

(7, 2)

Answer

(3, 6)

Answer

(7, 6)

Answer

(3, 2)

Question 13

Which of the following is NOT a property that is preserved under all transformations?

Accepted Answer

Area

Answer

Length

Answer

Angle measure

Answer

Parallelism

Question 14

A trapezoid is reflected over a line that is perpendicular to one of its bases. What is the relationship between the original trapezoid and its image?

Accepted Answer

Congruent

Answer

Similar

Answer

Parallel

Answer

Equal in area

Question 15

When we rotate a rectangle, what property changes?

Accepted Answer

Orientation

Answer

Length

Answer

Area

Answer

Number of sides

Question 16

What is the effect of a 180-degree rotation on a square?

Accepted Answer

It remains a square with the same direction.

Answer

It becomes a rectangle.

Answer

It becomes a parallelogram.

Answer

It disappears.

Question 17

If a rectangle is rotated 90 degrees clockwise, what is the new position of its longest side?

Accepted Answer

Vertical

Answer

Horizontal

Answer

Diagonal

Answer

It disappears

Question 18

Which statement about transformations is correct?

Accepted Answer

They can be combined to make new transformations.

Answer

They can only be done one at a time.

Answer

They always change the size of the shape.

Answer

They always change the shape of the figure.

Question 19

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

Accepted Answer

They change sign.

Answer

They stay the same.

Answer

They double.

Answer

They disappear.

Question 20

Which of these is NOT a transformation that can be performed on shapes?

Accepted Answer

Making the shape bigger or smaller (Stretching)

Answer

Moving the shape without changing its size or shape (Translation)

Answer

Spinning the shape around a fixed point (Rotation)

Answer

Flipping the shape over a line (Reflection)

Question 21

When we move a shape from one place to another without changing its size or shape, we call this:

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Question 22

Which transformation creates a shape that is like a mirror image of the original shape?

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Question 23

Which transformation does NOT change the shape?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 24

A square is moved 3 steps to the right and 2 steps up. Where is the new square?

Accepted Answer

(4, 5)

Answer

(1, 3)

Answer

(3, 2)

Answer

(5, 4)

Question 25

When we rotate a shape, which point stays fixed?

Accepted Answer

The center of the shape

Answer

Any point on the shape

Answer

A point outside the shape

Question 26

Which of these transformations changes the shape of a figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 27

If we rotate a square 180 degrees around its center, what will happen to its vertices?

Accepted Answer

They will be opposite their original position

Answer

They will be in the same position

Answer

They will be rotated 90 degrees clockwise

Answer

They will be rotated 90 degrees counterclockwise

Question 28

Which of these is NOT a translation transformation?

Accepted Answer

Double the size of the shape

Answer

Move 3 units to the right

Answer

Move 5 units down

Answer

Flip the shape over a line

Question 29

If we reflect a point (2, -3) over the y-axis, what are its new coordinates?

Accepted Answer

(2, 3)

Answer

(-2, -3)

Answer

(-2, 3)

Answer

(3, -2)

Question 30

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

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 31

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

Accepted Answer

Expansion

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 32

If a shape is translated 5 units to the right, what happens to its x-coordinates?

Accepted Answer

Increase by 5

Answer

Decrease by 5

Answer

Remain the same

Question 33

If a shape is rotated 90 degrees clockwise, what happens to its orientation?

Accepted Answer

Turned to the right

Answer

Turned to the left

Answer

Turned upside down

Question 34

If a shape is reflected over the y-axis, what will be the sign of its x-coordinates?

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Question 35

Which transformation would result in a mirror image of the original shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 36

After reflecting a shape, what happens to its size?

Accepted Answer

Stays the same

Answer

Increases

Answer

Decreases

Question 37

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

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 38

When reflecting over the x-axis, which of the shape's coordinates will change?

Accepted Answer

y-coordinates only

Answer

x-coordinates only

Answer

Both x- and y-coordinates

Question 39

Which transformation results in an image that has the same size and shape as the original but faces a different direction?

Accepted Answer

Rotation

Answer

Translation

Answer

Dilation

Question 40

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

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Question 41

If a square is moved 4 units to the right, what are the coordinates of its new position if its original coordinates were (2, 3)?

Accepted Answer

(6, 3)

Answer

(2, 7)

Answer

(4, 3)

Question 42

Which transformation involves spinning a shape around a fixed point?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Question 43

Which transformation flips a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 44

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

Accepted Answer

They change to the opposite number

Answer

They stay the same

Answer

They are divided by 2

Question 45

Which shape is exactly the same after a 180-degree rotation?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Question 46

A shape is moved 3 units to the left and then 2 units down. What is the total movement of the shape called?

Accepted Answer

Translation 3 units left and 2 units down

Answer

Translation 2 units left and 3 units down

Answer

Translation 5 units right and 2 units down

Question 47

Which of these is NOT a characteristic of a transformation?

Accepted Answer

It changes the size of the figure

Answer

It keeps the shape of the figure

Answer

It affects the location of the figure

Question 48

A square is rotated 90 degrees clockwise around its center. Which point will remain in the same place after the rotation?

Accepted Answer

The center

Answer

A corner point

Answer

A side midpoint

Question 49

Which transformation slides a shape without changing its size or shape?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 50

What happens to a shape's direction when it's rotated?

Accepted Answer

It changes.

Answer

It flips.

Answer

It gets bigger.

Answer

It stays the same.

Question 51

When you flip a shape over a line, what changes?

Accepted Answer

The side it faces.

Answer

Its color.

Answer

Its size.

Answer

Its shape.

Question 52

Which transformation makes a mirror image of a shape?

Accepted Answer

Reflection

Answer

Rotation

Answer

Dilation

Answer

Translation

Question 53

If you move a shape 3 spaces to the right and 2 spaces up, what transformation did you use?

Accepted Answer

Translation

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 54

What happens when you turn a shape 90 degrees to the right?

Accepted Answer

It rotates clockwise.

Answer

It gets bigger.

Answer

It flips.

Answer

It slides.

Question 55

If you spin a square halfway around, what happens?

Accepted Answer

It looks the same.

Answer

It becomes a triangle.

Answer

It becomes a circle.

Answer

It becomes a rectangle.

Question 56

Which transformation changes the size of a shape?

Accepted Answer

Dilation

Answer

Translation

Answer

Reflection

Answer

Rotation

Question 57

Imagine a triangle.  You move it 5 spaces to the right, then flip it over a line, and finally spin it a quarter turn. What is the order of the transformations you used?

Accepted Answer

Translation -> Reflection -> Rotation

Answer

Rotation -> Translation -> Reflection

Answer

Translation -> Rotation -> Reflection

Answer

Reflection -> Rotation -> Translation