Transformations Quiz

What is the result of reflecting a point over the x-axis?

• The result of reflecting a point over the x-axis is the same as the original point.

• The result of reflecting a point over the x-axis is the negation of both the x-coordinate and the y-coordinate.

• The result of reflecting a point over the x-axis is the negation of the y-coordinate while the x-coordinate remains the same.

• The result of reflecting a point over the x-axis is the negation of the x-coordinate while the y-coordinate remains the same.

Explain the difference between a translation and a reflection.

• A translation changes the size of a figure, while a reflection changes its shape

• A translation rotates a figure, while a reflection stretches it

• A translation flips a figure, while a reflection moves it to a different location

• A translation moves a figure from one location to another, while a reflection creates a mirror image over a line.

If a figure is translated 3 units to the right and 4 units down, what are the new coordinates of a point with original coordinates (2, 5)?

• (1, 9)

• (5, 1)

• (6, 2)

• (4, 7)

Describe the effect of a 90-degree clockwise rotation on a shape.

• The shape will be rotated to the left.

• The shape will be flipped vertically.

• The shape will be rotated to the right.

• The shape will be stretched horizontally.

What is the scale factor of a dilation that enlarges a figure by a factor of 3?

• 5

• 10

• 3

• 1

How does a dilation affect the size of a figure?

• It either enlarges or reduces the size of the figure

• It changes the color of the figure

• It has no effect on the size of the figure

• It rotates the figure

What is the result of rotating a point 180 degrees counterclockwise?

• The result of rotating a point 180 degrees counterclockwise is (-x, -y).

• The result of rotating a point 180 degrees counterclockwise is (x, -y)

• The result of rotating a point 180 degrees counterclockwise is (y, -x)

• The result of rotating a point 180 degrees counterclockwise is (x, y)

Explain the concept of a dilation and provide an example.

• A dilation is a transformation that changes the size of a figure but not its shape. It can make a figure larger or smaller.

• A dilation is a transformation that reflects a figure over a line. For example, flipping a circle over a vertical axis.

• A dilation is a transformation that rotates a figure around a fixed point. For example, spinning a triangle around its center.

• A dilation is a transformation that changes the shape of a figure but not its size. For example, stretching a square into a rectangle.

Emma is playing a video game where her character is at coordinates (7, 9) on the map. If she moves her character 5 units to the left and 2 units up, what will be the new coordinates of her character?

• (2, 11)

• (6, 11)

• (12, 7)

• (3, 8)

What is the result of reflecting a point over the y-axis?

• Negating the y-coordinate

• Adding the x-coordinate

• Multiplying the x-coordinate by -1

• Negating the x-coordinate