Rotation in Geometry

Triangle DEF was rotated 90^o clockwise about the origin to create triangle D'E'F'.

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

Pentagon VWXYZ is shown on the coordinate grid. A student rotated pentagon VWXYZ 180^o about the origin to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

• (x,y)-->(-y,x)

• (x,y)-->(y,-x)

• (x,y)-->(-y,-x)

• (x,y)-->(-x,-y)

• 90° clockwise

• 90° counter-clockwise

• 180° clockwise & counter-clockwise

• 270° counter-clockwise

• 270° clockwise

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 Δ ABC is rotated 90° clockwise about the origin, what will be the new coordinates of vertex B?

• ( 4, - 1)

• ( 4, 1 )

• ( 1, 4 )

• ( -1, -4 )

What are the three main things needed to know for rota​tions?​ ​ ​​ (a)   ​ ​ ​ ​ ​ (b)   ​ (c)  

• degrees

• center of rotation

• x axis

• y-axis

• Which direction

• how far to move

• clockwise/counterclockwis

Turning a figure is a ...

• Translation

• Reflection

• Dilation

• Rotation

• 90° clockwise

• 90° counter-clockwise

• 180° clockwise & counter-clockwise

• 270° counter-clockwise

• 270° clockwise

Find the volume.

• V= 392.5 ft³

• V=104.7 ft³

• V= 65.4 ft³

• V= 523.3 ft³