Multiple Transformations on a Coordinate Plane

Which transformations would result in a the square being in the same location? (There are multiple correct answers.)

• A 90° counter-clockwise rotation about the origin

• A reflection over the line x = 5.

• A 90° counter-clockwise rotation about the point (5, -5)

• A reflection over the line y = - x.

• A 270° rotation about the point (5, -5)

Point H of the figure is at (1, 0). Given the translation (x, y) → (x – 1, y + 3), what are the coordinates of point H’ ?

• ( 4 , -1)

• ( 2 , -3)

• ( 0 , 3 )

• (-2, -1)

Which transformation will be equivalent to rotating a figure 180° counterclockwise? (Draw it!)

• reflecting over the line y = x.

• reflecting over the line y = -x

• reflecting over the x-axis and the y-axis.

• translating left 3 units and down 5 units.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

The line segment is to be reflected over the line shown.

What would be the length of the reflected line segment?

• It would have the same length as the original line segment.

• It would have half the length of the original line segment.

• It would have double the length of the original line segment.

• There is not enough information to know the length of the original line segment.

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Identify the transformation from ABC to A'B'C'.

• Translation

• 90^o clockwise rotation

• 90^o counterclockwise rotation

• Reflection across the x-axis

Which rule would dilate shows a scale factor of 4

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)