# Similar Figures Quiz

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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 Î”S'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 Î”Q'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
~ âˆ F corresponds to âˆ F'. ~ The distance from point D' to the origin is 1/3 the distance of point D to the origin. ~ â–³DEF â–³D'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.