Rotations

Reflection or Rotation

• Reflection

• Rotation

Triangle ABC has vertices A(-4, 1), B(-2, 1), and C(-1, -2) on a coordinate grid. If ∆ABC is rotated 180° about the origin, what are the coordinates of A'B'C'?

• A'(1,4) B'(1,2) C'(-2,1)

• A'(4,-1) B'(2,-1) C'(1,2)

• A'(-1,-4) B'(-1,-2) C'(2,-1)

• A'(-4,1) B'(-2,1) C'(-1,-2)

Triangle XYZ has been rotated 180 degrees about the origin. If the measure of

• 60 degrees

• 120 degrees 

• 30 degrees

• 90 degrees

Triangle XYZ has been rotated 180 degrees about the origin. If segment XY is 3 units, what is the measure of segment X'Y'?

• 3 units

• 6 units

• 1.5 units

• 9 units

What is a rotation?

• a flip over a line

• a slide along a vector

• a turn around a point

• a turn over a line

Consider a rotation of d degrees around center O. Let P P be a point other than O. Which direction is point P rotated when d < 0?

• clockwise

• counterclockwise

Consider a rotation of d degrees around center O. Let P P be a point other than O. Which direction is point P rotated when d > 0?

• clockwise

• counterclockwise

Which direction is a rotation of 90 degrees?

• clockwise

• counterclockwise

Which direction is a rotation of -180 degrees?

• clockwise

• counterclockwise

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise