question

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

answer

a dilation with a scale factor less than 1 and then a reflection

question

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
Which statements are true about the trapezoids? Select three options.

answer

~ The length of side AD is 8 units.
~ The length of side A'D' is 4 units.
~ The scale factor is 1/2.

question

Which graph shows a dilation?

answer

The 3rd graph

question

Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?

answer

a dilation with a scale factor of 1/4 and then a translation

question

Trapezoid DEFG is dilated according to the ruleDO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph.
What are the coordinates of point G of the pre-image?

answer

(-2, 1)

question

Triangle STV was dilated with the origin as the center of dilation to form ΔS'T'V'.
What is the scale factor of the dilation?

answer

1/3

question

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.
Which statements are true about the parallelograms? Select three options.

answer

~ The length of side MN is 2 units.
~ The length of side M'N' is 5 units.
~ Sides MQ and M'Q' both have the same slope, 1

question

Triangle QRS is dilated according to the rule DO,2 (x,y).
What is true about the image ΔQ'R'S'? Select three options.

answer

~ DO,2 (x,y) = (2x, 2y)
~ Side Q'S' lies on a line with a slope of -1.
~ The distance from Q' to the origin is twice the distance from Q to the origin.

question

Triangle DEF was dilated according to the rule DO,1/3(x,y) ----> (1/3x, 1/3y) to create similar triangle D'E'F'.
Which statements are true? Select three options.

answer

~ ∠F corresponds to ∠F'.
~ The distance from point D' to the origin is 1/3 the distance of point D to the origin.
~ △DEF △D'E'F'

question

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of 2/5 ? Why or why not?

answer

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.