Learning Rotations Rules

A triangle is on quadrant II.Which quadrant will the triangle if R_{o, 180}⁰

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

Which quadrant will the triangle be in if R_{o, -90⁰} 

• Quadrant 4
• Quadrant 3
• Quadrant 2
• Quadrant 1

Which quadrant will the triangle be in if R_{0, -270⁰}

• Quadrant 4
• Quadrant 3
• Quadrant 2
• Quadrant 1

Which quadrant will the triangle be in if R_{0, 270⁰}

• Quadrant 4
• Quadrant 3
• Quadrant 2
• Quadrant 1

A rotation is when you . . .

• move a shape somewhere else.
• flip a shape across a line.
• rotate a shape around a point.
• move it to another quadrant.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Rotation Rules (clockwise):

270^o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

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)

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)