Master Geometric Transformations: Translations, Rotations, Reflections, and Dilations

Question 1

When you rotate a figure, the point around which it turns is called the:

Accepted Answer

Center of rotation

Answer

Vertex

Answer

Midpoint

Answer

Apex

Question 2

If the scale factor for a dilation is greater than 1, what happens to the figure?

Accepted Answer

It becomes larger.

Answer

It becomes smaller.

Answer

It stays the same size.

Answer

It flips upside down.

Question 3

Which statement about dilation transformations is NOT true?

Accepted Answer

They change the figure's orientation.

Answer

They preserve the shape of the figure.

Answer

They can enlarge or shrink the figure.

Answer

They create a similar figure.

Question 4

When a shape is rotated 90 degrees clockwise around a fixed point, what happens to its orientation?

Accepted Answer

It becomes perpendicular to its original orientation.

Answer

It becomes parallel to its original orientation.

Answer

It rotates 45 degrees from its original orientation.

Answer

It rotates 180 degrees from its original orientation.

Question 5

Which transformation changes the size of a figure but not its shape?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 6

A circle is dilated by a scale factor of 0.5. What is the ratio of the area of the dilated circle to the area of the original circle?

Accepted Answer

0.25

Answer

0.5

Answer

2

Answer

4

Question 7

Which property is NOT true about reflection transformations?

Accepted Answer

Changes the size of the figure

Answer

Preserves distance

Answer

Flips the figure across a line

Answer

Creates a mirror image

Question 8

Which of the following transformations always maintains the distance between points?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 9

When a figure is translated 5 units to the right and 3 units up, what is the translation vector?

Accepted Answer

(5, 3)

Answer

(3, 5)

Answer

(-5, -3)

Answer

(-3, -5)

Question 10

Which transformation is NOT a rigid transformation?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 11

When a figure is reflected over the y-axis, what is its new orientation?

Accepted Answer

Flipped vertically

Answer

Flipped horizontally

Answer

Shifted to the left

Answer

Rotated 90 degrees clockwise

Question 12

When a figure is dilated by a scale factor of 2, what is the ratio of the area of the image to the area of the original?

Accepted Answer

4:1

Answer

1:2

Answer

2:1

Answer

1:4

Question 13

Which property is NOT true for translations?

Accepted Answer

Preserves area

Answer

Preserves distance between points

Answer

Preserves angles

Answer

Preserves orientation

Question 14

Which transformation is a combination of a translation and a rotation?

Accepted Answer

Glide reflection

Answer

Dilation

Answer

Reflection

Answer

Rotation

Question 15

What is the inverse of a rotation of 180 degrees around the origin?

Accepted Answer

Rotation of 180 degrees around the origin

Answer

Rotation of 90 degrees around the origin

Answer

Translation of (x, y) -> (x, -y)

Answer

Reflection over the x-axis

Question 16

If a figure is reflected over the line y = x, what will be the new coordinates?

Accepted Answer

(y, x)

Answer

(x, y)

Answer

(-x, y)

Answer

(-y, -x)

Question 17

After translating a figure 5 units right, what are its new coordinates if its original coordinates were (2, 3)?

Accepted Answer

(7, 3)

Answer

(2, 8)

Answer

(3, 5)

Answer

(5, 2)

Question 18

What is the rotation rule for turning a figure 90 degrees counterclockwise around the origin?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

If a figure is dilated by a factor of 0.5, what happens to its perimeter?

Accepted Answer

Halved

Answer

Doubled

Answer

Unchanged

Answer

Multiplied by 4

Question 20

Which transformation maps the point (a, b) to (-b, a)?

Accepted Answer

Reflection over the y-axis

Answer

Reflection over the x-axis

Answer

Rotation 90 degrees clockwise about the origin

Answer

Rotation 90 degrees counterclockwise about the origin

Question 21

Which transformation keeps the size and shape of a figure the same?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 22

What happens to a point after a translation?

Accepted Answer

It moves along a straight line.

Answer

It rotates around a fixed point.

Answer

It flips over a line.

Answer

It gets bigger or smaller.

Question 23

What number represents the scale factor when a figure is tripled in size?

Accepted Answer

3

Answer

0.33

Answer

1

Answer

9

Question 24

Around which point is a figure rotated 90 degrees clockwise if the center of rotation is (1, 1)?

Accepted Answer

(1, 1)

Answer

(1, -1)

Answer

(-1, 1)

Answer

(-1, -1)

Question 25

Which characteristic does NOT apply to a translation?

Accepted Answer

(C) Requires a fixed point of rotation

Answer

(A) Moves every point of a figure the same distance in the same direction

Answer

(B) Preserves the size and shape of the figure

Answer

(D) Can be represented using a vector

Question 26

Which transformation moves a figure from one location to another without altering its size or shape?

Accepted Answer

Translation

Answer

Dilation

Answer

Rotation

Answer

Reflection

Question 27

Select the rule for translating a point (x, y) 3 units right and 2 units up.

Accepted Answer

(x + 3, y + 2)

Answer

(x - 3, y - 2)

Answer

(x + 3, y - 2)

Answer

(x - 3, y + 2)

Question 28

Which transformation involves turning a figure around a fixed point?

Accepted Answer

Rotation

Answer

Dilation

Answer

Reflection

Answer

Translation

Question 29

Which transformation reflects a figure over a line?

Accepted Answer

Reflection

Answer

Rotation

Answer

Dilation

Answer

Translation

Question 30

Which transformation alters the size of a figure?

Accepted Answer

Dilation

Answer

Reflection

Answer

Rotation

Answer

Translation

Question 31

What is the scale factor for a dilation that doubles the size of the original figure?

Accepted Answer

2

Answer

1

Answer

0.5

Answer

4

Question 32

Which transformation involves a combination of translation and rotation?

Accepted Answer

Glide reflection

Answer

Dilation

Answer

Rotation

Answer

Translation

Question 33

Which transformation involves a combination of rotation and dilation?

Accepted Answer

Rotodilation

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 34

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

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Question 35

During a 90-degree clockwise rotation around the point (-2,3), what is the center of rotation for the figure?

Accepted Answer

(-2, 3)

Answer

(2, 3)

Answer

(2, -3)

Answer

(3, 2)

Question 36

What is the center of rotation when a figure is rotated 90 degrees clockwise around the origin?

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

(90, 0)

Question 37

A figure is dilated by a scale factor of 2. If the original figure has an area of 16 square units, what is the area of the dilated figure?

Accepted Answer

64 square units

Answer

32 square units

Answer

8 square units

Answer

16 square units

Question 38

Which of the following describes a reflection over the x-axis?

Accepted Answer

Flips points over the horizontal axis.

Answer

Enlarges or shrinks points by a certain factor.

Answer

Rotates points around a fixed point.

Answer

Flips points over the vertical axis.

Question 39

A triangle is translated 4 units to the left and 2 units down. Which of the following is the rule for the translation?

Accepted Answer

(x - 4, y - 2)

Answer

(x + 4, y + 2)

Answer

(x + 2, y + 4)

Answer

(x - 2, y - 4)

Question 40

A dilation with a scale factor less than 1 will result in a figure that is:

Accepted Answer

Smaller than the original figure.

Answer

Rotated from the original figure.

Answer

Congruent to the original figure.

Answer

Larger than the original figure.

Question 41

A square is rotated 90 degrees clockwise about its center. Which of the following statements is true about the image?

Accepted Answer

The image is congruent to the original square.

Answer

The image is larger than the original square.

Answer

The image is a rectangle.

Answer

The image is smaller than the original square.

Question 42

A triangle is translated 3 units to the right and 2 units down. If the original triangle had vertices at (1, 2), (3, 4), and (4, 1), what are the coordinates of the image?

Accepted Answer

(4, 0), (6, 2), (7, -1)

Answer

(4, 4), (6, 6), (7, 3)

Answer

(1, 0), (3, 2), (4, -1)

Answer

(-2, 4), (0, 6), (1, 3)

Question 43

A square is reflected across a diagonal. What type of figure is the image?

Accepted Answer

Square

Answer

Rectangle

Answer

Parallelogram

Answer

Rhombus

Question 44

A triangle is dilated by a scale factor of 1/2. Which of the following is true about the image?

Accepted Answer

The image is smaller than the original triangle.

Answer

The image is congruent to the original triangle.

Answer

The image is larger than the original triangle.