Dilations Centered at the Origin

What is the scale factor of the pictured dilation?

• k = 2

• k = 1/2

• k = 3

• k = 1/3

What is the scale factor of the pictured dilation?

• k = 5

• k = 1/5

• k = 3

• k = 1/3

What is the scale factor of the pictured dilation?

• k = 2

• k = 1/2

• k = 3

• k = 1/3

Point A (4,-5) is dilated with center (0,0) and scale factor k = 2. What are the coordinates of A'?

• (8, -10)

• (2, -5/2)

• (4, -2/5)

• (-8, 10)

Triangle ABC (pictured) is dilated with center (0,0) and scale factor k = 1/2. What are the coordinates of A'?

• (-1, 3)

• (1,3)

• (3, -1)

• (-1, -3)

Line segment AB (pictured) is dilated with center (0,0) and scale factor k = 2. Segment A'B' will be...

• Parallel to segment AB and longer than segment AB

• In the same position as segment AB, but longer than segment AB

• Parallel to segment AB, and shorter than segment AB

• In the same position as segment AB, but shorter than segment AB

Line segment AB, pictured, is dilated with center (0,0) and scale factor k = 1/3 . Segment A'B' will be...

• Parallel to segment AB and longer than segment AB

• In the same position as segment AB, but longer than segment AB

• Parallel to segment AB, and shorter than segment AB

• In the same position as segment AB, but shorter than segment AB

A ___________ is a type of transformation that enlarges or reduces a figure (the preimage) creating a new figure (image)

• Translation

• Reflection

• Rotation

• Dilation

Dilations produce...

• Congruent Figures

• Similar Figures

• Figures that have no relationship with each other

• Scale Factor of Dilation

  Distance of Dilation

With an enlargement, the scale factor "k" must be

• Greater than 1

• Between 0 and 1

• Equal to 1

• Less than 0