Exploring Transformations in Algebra

What happens to the y-coordinate of a point when it is reflected over the x-axis?

• It stays the same.

• It becomes the opposite value.

• It is divided by two.

• It doubles.

In a reflection over the y-axis, what happens to the x-coordinate of a point?

• It becomes the opposite value.

• It stays the same.

• It doubles.

• It is divided by two.

When translating a figure 2 units to the right and 5 units down, what is the algebraic rule?

• (x - 2, y + 5)

• (x + 2, y + 5)

• (x - 2, y - 5)

• (x + 2, y - 5)

What is the result of translating a point (3, 4) by the rule (x - 3, y + 2)?

• (0, 6)

• (6, 2)

• (0, 2)

• (6, 6)

What is the algebraic rule for a 90-degree counterclockwise rotation?

• (x, y) -> (-x, -y)

• (x, y) -> (-y, x)

• (x, y) -> (y, -x)

• (x, y) -> (x, -y)

After a 180-degree rotation, what happens to the coordinates of a point (x, y)?

• (x, y) -> (-y, x)

• (x, y) -> (-x, -y)

• (x, y) -> (y, -x)

• (x, y) -> (x, -y)

What is the effect of a dilation with a scale factor greater than 1?

• The figure gets smaller.

• The figure stays the same size.

• The figure gets larger.

• The figure flips.

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

• It stays the same size.

• It gets half as large.

• It flips.

• It doubles in size.

How can you identify a 90-degree counterclockwise rotation from a figure?

• The figure is flipped over the x-axis.

• The x and y coordinates are swapped, and the new y-coordinate is the opposite of the original x-coordinate.

• The coordinates of the points are doubled.

• The figure is translated to the right.

What transformation has occurred if the coordinates of a point change from (3, 5) to (-3, 5)?

• 90-degree rotation

• Translation

• Reflection over the y-axis

• Reflection over the x-axis