Similarity and Transformations

a coordinate point that serves as the focal point for generating a dilation

• Center of Dilation

• Transformation

• Congruent

• Positive Rational Numbers

a change in position or size

• Center of Dilation

• Transformation

• Congruent

• Positive Rational Numbers

shapes whose angles are congruent and side lengths are proportional

• Similar Shapes

• Transformation

• Translation

• Positive Rational Numbers

a transformation in which an image is usually enlarged or reduced, depending on the scale factor. The position and size of a figure changes, but not the shape.

• Dilation

• Reflection

• Rotation

• Scale Factor

Which of the following is a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Jordan is putting a photo of the lacrosse team in a full-page layout in the yearbook. The original photo is 4 inches by 6 inches. If the photo in the yearbook is 6 inches by 9 inches, what is the scale factor of the dilation?

• k = 1/2

• k = 5

• k = 3/2

• k = 9

Which of the following are Dilations?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

Which rule below will make an object "Similar"?

• (x-5,y-5)

• (2x,3y)

• (32x,32y)

• (1x,y-8)

a transformation frequently described as a flip or a mirror image of the original figure

• Dilation

• Reflection

• Rotation

• Scale Factor

the common multiplication ratio between pairs of related data which may be represented as a unit rate

• Dilation

• Reflection

• Rotation

• Scale Factor