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

Question 1

Which transformation leaves a shape unchanged in appearance?

Accepted Answer

Identity transformation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 2

Which transformation produces a mirror image of a figure?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 3

What is the point about which a figure is rotated called?

Accepted Answer

Center of rotation

Answer

Axis of rotation

Answer

Vertex of rotation

Answer

Focal point

Question 4

Which transformation increases or decreases the size of a figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 5

What is the angle of rotation if a figure is rotated 60 degrees clockwise around its center?

Accepted Answer

60 degrees

Answer

30 degrees

Answer

90 degrees

Answer

120 degrees

Question 6

Which transformation can be used to create a repeating pattern?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 7

What is the scale factor of a dilation if the length of a side of the dilated figure is twice the length of the corresponding side of the original figure?

Accepted Answer

2

Answer

0.5

Answer

1

Answer

4

Question 8

Which of the following transformations always preserves the distance between any two points on a figure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 9

When a shape is turned by 90 degrees clockwise around a fixed point, what is the measure of the angle created between its original and transformed positions?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

180 degrees

Answer

270 degrees

Question 10

Which transformation flips a shape across a line, resulting in a mirror image?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 11

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

Accepted Answer

It changes sign

Answer

It stays the same

Answer

It doubles

Answer

It triples

Question 12

Which transformation can result in a shape that is similar but not congruent to the original?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 13

Identify the transformation that involves sliding a figure without altering its size or orientation.

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 14

After rotating a rectangle 90 degrees counterclockwise, which point remains fixed?

Accepted Answer

(0, 0)

Answer

(2, 3)

Answer

(5, 0)

Answer

(7, 3)

Question 15

Which transformation does NOT involve flipping a figure over a line?

Accepted Answer

Dilation

Answer

Reflection over the x-axis

Answer

Reflection over the y-axis

Answer

Reflection over a diagonal line

Question 16

A triangle undergoes a dilation with a scale factor of 2. How does the area of the dilated triangle compare to the original triangle?

Accepted Answer

Four times the area

Answer

Half the area

Answer

Double the area

Answer

Quarter the area

Question 17

A circle undergoes a dilation with a scale factor of 0.5. How does the circumference of the dilated circle compare to the original circle?

Accepted Answer

Half the circumference

Answer

Double the circumference

Answer

Quarter the circumference

Answer

Four times the circumference

Question 18

Which transformation preserves both distance and shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 19

Rotating a triangle 180 degrees around its centroid results in:

Accepted Answer

No change to the triangle

Answer

Flipping the triangle

Answer

Rotating the triangle by 90 degrees

Answer

Dilating the triangle by a factor of 2

Question 20

Which transformation preserves the size and shape of a figure?

Accepted Answer

Translation

Answer

Rotation about a fixed point

Answer

Reflection over a line

Answer

Dilation

Question 21

What is the center of rotation for a 90-degree clockwise rotation?

Accepted Answer

The origin

Answer

(1, 1)

Answer

(-1, -1)

Answer

No center of rotation

Question 22

A triangle is reflected over the x-axis. Which of the following statements about the image is true?

Accepted Answer

Its vertices will have the same y-coordinates

Answer

It will have the same orientation

Answer

Its area will be doubled

Answer

It will have a different shape

Question 23

Which of the following is NOT a rigid transformation?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 24

A shape is dilated by a scale factor of 1/2. What is the ratio of the area of the image to the area of the original shape?

Accepted Answer

1/4

Answer

1/2

Answer

1/8

Answer

1/16

Question 25

A figure is rotated by 180 degrees about a point that is not part of the figure. What is the orientation of the image compared to the original figure?

Accepted Answer

Inverted

Answer

Upright

Answer

Rotated 90 degrees

Answer

Rotated 270 degrees

Question 26

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

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 27

What type of transformation flips a figure over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 28

Which transformation turns a figure around a fixed point?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Dilation

Question 29

What transformation increases or decreases the size of a figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 30

What is the angle of rotation if a figure is rotated 90 degrees clockwise?

Accepted Answer

90 degrees

Answer

180 degrees

Answer

270 degrees

Answer

360 degrees

Question 31

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

Accepted Answer

4:1

Answer

1:2

Answer

2:1

Answer

1:4

Question 32

Which transformation would move a shape 5 units to the right without changing its orientation?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 33

Which transformation flips a shape over a horizontal line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 34

A translation moves a figure:

Accepted Answer

Up, down, left or right

Answer

Only up or down

Answer

Only left or right

Answer

Only diagonally

Question 35

A rotation turns a figure:

Accepted Answer

Around a specific angle and a specific point

Answer

Around any point

Answer

Around any angle

Answer

Around a line

Question 36

A reflection flips a figure:

Accepted Answer

Over a line

Answer

Over a point

Answer

Over a plane

Answer

Over a circle

Question 37

If a figure is translated 3 units to the right, what are the coordinates of its image if the original coordinates were (1, 2)?

Accepted Answer

(4, 2)

Answer

(1, 5)

Answer

(2, 1)

Answer

(1, -2)

Question 38

If a figure is dilated by a scale factor of 3, what are the coordinates of its image if the original coordinates were (2, 4)?

Accepted Answer

(6, 12)

Answer

(0.67, 1.33)

Answer

(4, 8)

Answer

(4, 2)

Question 39

Which of the following describes a translation transformation?

Accepted Answer

Moving a figure from one location to another in a straight line, preserving its size and shape.

Answer

Rotating a figure around a fixed point by a specific angle.

Answer

Flipping a figure over a line of symmetry.

Answer

Enlarging or shrinking a figure by a specific factor.

Question 40

A rotation transformation involves:

Accepted Answer

Turning a figure around a fixed point by a specific angle.

Answer

Moving a figure from one location to another in a straight line.

Answer

Flipping a figure over a line of symmetry.

Answer

Enlarging or shrinking a figure by a specific factor.

Question 41

What happens to a figure when it undergoes a reflection transformation?

Accepted Answer

It is flipped over a line of symmetry.

Answer

It is rotated around a fixed point by a specific angle.

Answer

It is moved from one location to another in a straight line.

Answer

It is enlarged or shrunk by a specific factor.

Question 42

Which of the following transformations changes the size of a figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 43

Which of the following transformations is NOT considered a rigid transformation?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 44

A figure is translated 5 units to the right. If its original coordinates were (2, 3), what are the new coordinates?

Accepted Answer

(7, 3)

Answer

(2, 8)

Answer

(3, 5)

Answer

(5, 3)

Question 45

Which transformation will NOT produce a figure that is congruent to the original?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 46

Which transformation involves moving a shape from one place to another without changing its size or shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 47

When a figure is rotated around a point, what happens to its orientation?

Accepted Answer

It changes direction.

Answer

It remains the same.

Answer

It becomes flipped.

Answer

Its size increases.

Question 48

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

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 49

If a figure is enlarged or reduced in size, what transformation has been applied?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 50

If the coordinates of a point are (2, 4) and it is translated 3 units to the right, what are the new coordinates?

Accepted Answer

(5, 4)

Answer

(2, 7)

Answer

(5, 7)

Answer

(0, 4)

Question 51

What is the measure of the angle of rotation if the image is rotated clockwise 45 degrees?

Accepted Answer

45 degrees

Answer

90 degrees

Answer

180 degrees

Answer

360 degrees

Question 52

If a figure is reflected across the y-axis, what will happen to its y-coordinate?

Accepted Answer

It will change sign.

Answer

It will double.

Answer

It will halve.

Answer

It will remain the same.

Question 53

If a square is dilated by a factor of 2, what is the ratio of the perimeter of the dilated square to the original square?

Accepted Answer

4

Answer

1

Answer

2

Answer

8