Understanding Similarity Transformations

What happens to the coordinates (x, y) when a point is reflected over the x-axis?

• (x, y) becomes (x, -y)

• (x, y) becomes (-x, y)

• (x, y) becomes (-x, -y)

• (x, y) becomes (y, x)

Which transformation involves changing the size of a figure while maintaining its shape?

• Reflection

• Dilation

• Translation

• Rotation

If a figure is rotated 180 degrees about the origin, what happens to the coordinates (x, y)?

• (x, y) becomes (-y, x)

• (x, y) becomes (y, -x)

• (x, y) becomes (-x, -y)

• (x, y) becomes (x, y)

What is the scale factor if a figure is dilated from (2, 1) to (4, 2)?

• 3

• 4

• 2

• 1/2

Which of the following is NOT a similarity transformation?

• Reflection

• Translation

• Shearing

• Dilation

How can you determine if two rectangles are similar?

• They have the same area

• Their corresponding sides are proportional

• Their corresponding angles are different

• They have the same perimeter

What is the first step in a sequence of transformations if you need to rotate a figure?

• Rotate the figure

• Dilate the figure

• Reflect the figure

• Translate the figure

What is the result of a 90-degree clockwise rotation of the point (0, 3)?

• (3, 3)

• (3, 0)

• (0, -3)

• (-3, 0)

Which transformation is applied first in a sequence involving reflection, dilation, and rotation?

• Reflection

• Dilation

• Rotation

• Translation

Why are all circles considered similar?

• They have the same area

• They have the same circumference

• They can be transformed into each other by any similarity transformation

• They have the same radius