Multiple Transformations

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

• Reflect over the x-axis and then rotate clockwise 90 around the origin.

• Rotate counterclockwise 90 around the origin and then translate 8 units left.

• Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

• Rotate clockwise 90 around the origin and then translate 8 units left.

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If RQ is rotated 180 degrees about the origin and then translated 1 unit right and 1 unit to down, 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)

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

If QR is rotated 90 degrees clockwise about the origin and then translated 2 units to the left and 3 units up, what are the endpoints of the resulting image?

• Q'(1, 2) R'(-4, 4)

• Q'(-1, -3) R'(1, 2)

• Q'(-3, 1) R'(2, -1)

• Q'(-5, 4) R'(0, 2)

Tags

CCSS.8.G.A.3

Construct the composite function for a transformation of a triangle that is dilated by a factor of 5, then translated 2 units right and 7 units down.

Tags

CCSS.HSG.CO.A.2

Construct the composite function for a transformation of a quadrilateral that is translated 6 units left and 2 units up, then reflected over the line y = -x.

Tags

CCSS.HSG.CO.A.2

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Rotation 270° counterclockwise around the origin

• Reflection across the line y = -x

• Rotation 180° counterclockwise around the origin

• Reflection across the line y = x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5