Transformation: Dilation

Definition: The figure after a transformation has occurred.

• Pre-image

• Image

• Translation

• Reflection

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Definition: The figure before a transformation has occurred.

• Pre-image

• Image

• Translation

• Reflection

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

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

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Does the image show a Dilation?

• Yes

• No

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Does the image show a dilation?

• Yes

• No

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

(x, y)  $\rightarrow$   (2x, 2y)
What does the coefficient 2 mean?

• plot 2 to the right and 2 up

• scale factor is 2 creating a new figure half the size

• scale factor is 2 making a figure twice the

  original

• I don't understand this question : (

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4