Dilations

What is Dilation?

• Dilation means to enlarge or reduce

• Dilation means to reflect on something

• Dilation means to like something

• Dilation means to make something different by making it smaller

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)

• A(3,3), B(4,4), C(-3,-4)
• A(-4,8), B(6.5,8), C(7,7)
• A(0,0), B(32,0), C(12,-8)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

A scale factor of less than one means

• that the image will be larger than the pre-image.
• That the image will be the same as the pre-image.
• That you need to subtract that amount off  of each side.
• That the image will be a reduction of the pre-image.

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Dilate Point B by a scale factor of 1/2

• (1.5,-4)
• (-1.5,1)
• (-1,-1.5)
• (-2,-2)

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Match the terms with their definitions.

• A transformation that turns a figure around a point.

• Translation

• A transformation that flips a figure across a line.

• Dilation

• A transformation that slides a figure.

• Reflection

• A transformation that makes a scale copy

• Rotation

Two figures are congruent if they have the _______ shape and _______ size.

• Different, Same
• Same, Same
• Same, Different
• Different, Different

Two figures can be similar if they have the _______ shape but _______ size.

• Different, Same
• Same, Same
• Same, Different
• Different, Different