Rigid Motion and Dilation Transformations

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation

• translation

• reflection

• dilation

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

A dilation is which of the following: 

• only an enlargement

• only a reduction

• either an enlargement or a reduction

• neither an enlargement nor a reduction

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

When the scale factor of a dilation is less than one, the dilation is a...

• Reduction

• Enlargement

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)

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Which transformation is NOT a rigid motion (the size changes)?

• reflection

• rotation

• dilation

• translation