Dilation

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)

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

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.

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Definition: The figure before a transformation has occurred. 

• Pre-image
• Image
• Translation
• Reflection

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction
• enlargement
• scale factor
• center of dilation

What is (3, 6) under a dilation of 2?

• (3, 6)
• (1.5, 3)
• (6, 12)
• (12, 6)

Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes