Transformations and Scale Factor

One possible sequence of rigid motions is to reflect the red figure in the x-axis and then translate the image ___ units left.

• 0

• 1

• 2

• 3

One possible similarity transformation is to dilate the red figure with respect to the origin using a scale factor of ___ and then reflect the image in the __-axis.

• 1/2, x

• 1/2, y

• 2, x

• 2, y

What are the final coordinates of B after a rotation of 180 degrees counterclockwise and a reflection over the y-axis

• (3, -4)

• (3, 4)

• (-4, 3)

• (4, -3)

What are the final coordinates of B after a reflection over the x-axis and a translation 2 right and 2 up?

• (3, 1)

• (-3, -1)

• (-1, -3)

• (1, 3)

Which of the following is one possible sequence of transformations?

• Translation 7 left, then translation 2 down

• Reflection over the y-axis, then translation 1 right and 2 down

• Reflection over the y-axis, then translation 1 right and 2 up

• Rotation 180 degrees, then reflection over the x-axis

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up

• Translation 3 units down

• Dilation by a scale factor of 3

• Dilation by a scale factor of 1/3

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Which rule shows the transformation?

• (x, y) ----> (0.5x, 0.5y)

• (x, y) ----> ( 2 + x, 2 + y)

• (x, y) -----> (2x, 2y)

• (x, y) -----> (3x, 3y)

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up.