6-6: Multiple Transformations

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that

 $\Delta ABC\cong\Delta DEF$  

• Reflect △ABC across the x-axis, then translate it down 1

• Reflect △ABC across the x-axis, then translate it up 1

• Reflect △ABC across the y-axis, then translate it down 1

• Reflect △ABC across the y-axis, then translate it up 1

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

• Reflect △ABC across the x-axis, then translate it right 1

• Reflect △ABC across the y-axis, then translate it right 1

• Reflect △ABC across the x-axis, then translate it left 1

• Reflect △ABC across the y-axis, then translate it left 1

Two triangles are shown on the coordinate grid. Which sequence of transformation shows that  $\Delta ABC\cong\Delta DEF$  ?

• Reflect △ABC across the x-axis, then translate it down 2

• Reflect △ABC across the y-axis, then translate it down 2

• Reflect △ABC across the x-axis, then translate it up 2

• Reflect △ABC across the y-axis, then translate it up 2

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 4 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 to the right 4 units, then translate the resulting figure down 4 units.

• Translate Trapezoid 1 down 4 units, then reflect the resulting figure across the x-axis.

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 2 units, then translate the resulting down 2 units.

• Translate Trapezoid 1 to the right 2 units, then reflect the resulting figure across the x-axis.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

Which transformation will NOT transform the original shape into the transformed shape?

• $180\degree$ clockwise rotation about the origin and then a reflection across the y-axis

• A reflection about the x-axis

• $270\degree$ counterclockwise rotation about the origin

• A reflection across the y-axis and then a $180\degree$ clockwise rotation

Which transformation will NOT transform the original shape into the transformed shape?

• $180\degree$ clockwise rotation

• A reflection about the x-axis and then a translation to the right

• $90\degree$ counterclockwise rotation about the origin

• A reflection across the y-axis and then a reflection across the x-axis

If RQ is rotated 180 degrees about the origin and then translated 1 unit down and 1 unit to the right, what are the endpoints of the resulting image?

• R' (1, -1) Q' (-1, 2)

• R' (2, -2) Q' (0, 1)

• R' (0, 0) Q' (2, -3)

• R' (0, -2) Q' (-3, 1)

If QR is rotated 270 degrees counterclockwise about the origin and then translated 2 units down and 3 units to the left, what are the endpoints of the resulting image?

• Q' (-2, -3) R'(-4, 0)

• Q' (-1, -4) R'(-3, -1)

• Q' (1, 1) R'(-2, 1)

• Q' (1, -1) R'(-1, 2)