Dilations Origin

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

The rule for an enlargement dilation is...

• (x,y) ---> (kx, ky), where k >1

• (x,y) ---> (kx, ky), where 0 < k < 1

• (x,y) ---> (x, ky), where k >1

• (x,y) ---> (kx, y), where k >1

What is the scale factor of the pictured dilation?

• k = 2

• k = 1/2

• k = 3

• k = 1/3

Point A (3, 6) is dilated with center (0,0) and scale factor

k = 2/3. What are the coordinates of A'?

• (2,4)

• (6,18)

• (3,2)

• (3/2, 2)

The rule for an reduction dilation is...

• (x,y) ---> (kx, ky), where k >1

• (x,y) ---> (kx, ky), where 0 < k < 1

• (x,y) ---> (x, ky), where k >1

• (x,y) ---> (kx, y), where k >1

Check all properties NOT preserved in a dilation

• Distance

• Angle measure

• Orientation

• Parallelism

• Collinearity