Rotation and Dilation

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

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

• reflection

• translation

• rotation

• dilation

What type of rotation does this represent (from red to blue)?

• 270⁰ clockwise

• 360⁰

• 90⁰ counterclockwise

• 180⁰

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360

The scale factor for this dilation is:

Mathematical Equivalence

ON

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

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)

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

• ½

• ¼

• 4

• 2

What is the rule for a 270 degree clockwise rotation?

• (x, y) --> (-y, x)

• (x, y) --> (y, -x)

• (x, y) --> (-x, -y)

If the graph was rotated 90^o clockwise around the origin, what quadrant wound the new point lie?

• I

• II

• III

• IV