Master Geometry Transformations: Enhance Your Math Education Skills

Question 1

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

Accepted Answer

Shrinking the figure

Answer

Enlarging the figure

Answer

Rotating the figure

Answer

Reflecting the figure

Question 2

Which of the following is NOT considered a rigid transformation?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 3

A reflection across the y-axis will:

Accepted Answer

Change the y-coordinates of the points

Answer

Change the x-coordinates of the points

Answer

Change both x and y-coordinates of the points

Answer

Leave the coordinates of the points unchanged

Question 4

A rotation with an angle of 180 degrees is equivalent to:

Accepted Answer

A reflection

Answer

A dilation

Answer

A translation

Answer

Another rotation

Question 5

Which transformation will produce an image that is smaller than the original?

Accepted Answer

Dilation with a scale factor less than 1

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 6

A translation with a vector (2, -3) will:

Accepted Answer

Move a point 2 units to the right and 3 units down

Answer

Move a point 2 units to the right and 3 units up

Answer

Move a point 3 units up and 2 units to the right

Answer

Move a point 3 units down and 2 units to the right

Question 7

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

Accepted Answer

Expansion

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 8

A translation moves a figure:

Accepted Answer

Parallel to a line without changing its size or shape

Answer

Along a circle without changing its size or shape

Answer

About a point without changing its size or shape

Answer

In any direction without changing its size or shape

Question 9

A dilation with a scale factor of 2 will:

Accepted Answer

Double the area of the figure

Answer

Double the perimeter of the figure

Answer

Halve the area of the figure

Answer

Halve the perimeter of the figure

Question 10

A transformation that maps a figure onto itself is called:

Accepted Answer

Isometry

Answer

Similarity transformation

Answer

Rigid transformation

Answer

Affine transformation

Question 11

The composition of two translations is:

Accepted Answer

Another translation

Answer

A rotation

Answer

A reflection

Answer

A dilation

Question 12

Which sequence of transformations accurately describes moving a figure 4 units to the right, then flipping it horizontally across the y-axis?

Accepted Answer

Translation, then reflection

Answer

Reflection, then translation

Answer

Rotation, then translation

Answer

Dilation, then reflection

Question 13

A point (x,y) undergoes a translation 5 units to the right and 3 units up. What are the coordinates of the translated point?

Accepted Answer

(x + 5, y + 3)

Answer

(x - 5, y - 3)

Answer

(x + 3, y + 5)

Answer

(x - 3, y - 5)

Question 14

Which geometric transformation preserves the distance between any two points of a given figure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 15

Which transformation can alter the orientation of a given figure?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Dilation

Question 16

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

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 17

Which transformation can modify the size of a given figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 18

Which of these transformations is NOT considered a rigid transformation?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 19

What results from the composition of a rotation followed by a translation?

Accepted Answer

A glide reflection

Answer

Another rotation

Answer

Another translation

Answer

A dilation

Question 20

What is the inverse transformation of a dilation with a scale factor of 2?

Accepted Answer

A dilation with a scale factor of 1/2

Answer

A dilation with a scale factor of 2

Answer

A reflection over the x-axis

Answer

A translation by 2 units

Question 21

Which of these transformations is NOT an isometry?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 22

What is the geometric interpretation of a translation vector?

Accepted Answer

The direction and magnitude of the translation

Answer

The starting point of the translation

Answer

The ending point of the translation

Answer

The distance between the starting and ending points

Question 23

Identify the transformation that entails shifting a figure without altering its size or orientation.

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 24

Which characteristic is not exhibited by a reflection transformation?

Accepted Answer

Enlarges the figure

Answer

Preserves distance

Answer

Flips orientation

Answer

Creates a mirror image

Question 25

If a figure undergoes dilation with a scale factor of 2, what will be the ratio of the dilated figure's area to that of the original figure?

Accepted Answer

4:1

Answer

1:2

Answer

2:1

Answer

1:4

Question 26

To obtain a figure congruent to the original but flipped over a horizontal axis, which combination of transformations should be applied?

Accepted Answer

Reflection and translation

Answer

Translation and rotation

Answer

Dilation and reflection

Answer

Rotation and dilation

Question 27

Which transformation does not belong to the category of rigid transformations?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 28

In the context of rotation, what is the point around which the figure is rotated called?

Accepted Answer

Center of rotation

Answer

Center of translation

Answer

Center of symmetry

Answer

Center of dilation

Question 29

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

Accepted Answer

Area

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 30

A translation moves a figure from one point to another without altering its size or shape. Which of the following transformations is an example of a translation?

Accepted Answer

Moving a rectangle 5 units to the right

Answer

Rotating a triangle 90 degrees counterclockwise

Answer

Flipping a square over the y-axis

Answer

Enlarging a circle by a factor of 2

Question 31

A dilation transforms a figure by a scale factor. What is the effect of a dilation with a scale factor greater than 1?

Accepted Answer

Enlarges the figure

Answer

Reduces the figure

Answer

Flips the figure

Answer

Rotates the figure

Question 32

A reflection flips a figure over a line. What is the line of reflection called?

Accepted Answer

Axis of symmetry

Answer

Midline

Answer

Median

Answer

Perpendicular bisector

Question 33

A rotation transforms a figure by a certain angle around a fixed point. What is the fixed point called?

Accepted Answer

Center of rotation

Answer

Origin

Answer

Vertex

Answer

Midpoint

Question 34

Which of the following is a composite transformation that is equivalent to a reflection followed by a translation?

Accepted Answer

Glide reflection

Answer

Rotation

Answer

Dilation

Answer

Translation

Question 35

A transformation that maps a figure onto itself is called a(n):

Accepted Answer

Isometry

Answer

Congruent

Answer

Similar

Answer

Translation

Question 36

Which of the following transformations preserves both distance and angle measure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 37

The figure that results from a transformation is called the:

Accepted Answer

Preimage

Answer

Transformation

Answer

Inverse transformation

Answer

Composite transformation

Question 38

Which transformation does NOT preserve the orientation of a figure?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 39

A translation is a transformation that moves a figure:

Accepted Answer

Parallel to a given line segment

Answer

Perpendicular to a given line segment

Answer

Along a circular arc

Answer

In an arbitrary direction

Question 40

Which transformation creates a mirror image of a figure?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 41

A dilation is a transformation that:

Accepted Answer

Enlarges or reduces a figure by a specified factor

Answer

Flips a figure over a line

Answer

Rotates a figure around a point

Answer

Moves a figure without changing its size or shape

Question 42

The composition of two translations is:

Accepted Answer

Another translation

Answer

A rotation

Answer

A reflection

Answer

A dilation

Question 43

A figure is reflected across the x-axis. Which of the following coordinates will remain unchanged?

Accepted Answer

x-coordinate

Answer

y-coordinate

Answer

Neither x- nor y-coordinate

Answer

Both x- and y-coordinate

Question 44

Which of the following transformations can be used to map a rectangle onto itself?

Accepted Answer

Any of the above

Answer

Translation only

Answer

Rotation only

Answer

Reflection only