Similar Figures

Question 1

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the image △A'B'C'? Check all that apply.

Revolt · Accepted Answer

A: AB is parallel to A'B'.; B: DO,1/2(x, y) =; C: The distance from A' to the origin is half the distance from A to the origin.

Question 2

Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y).The image is shown in the diagram. What are the coordinates of Z of the pre-image?

Revolt · Accepted Answer

A: (–8, –4)

Question 3

Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image?

Revolt · Accepted Answer

D: (6, –3)

Question 4

Which composition of similarity transformations would map polygon ABDC to polygon A'B'D'C'?

Revolt · Accepted Answer

D: a dilation with a scale factor less than 1 and then a translation

Question 5

△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).

Revolt · Accepted Answer

The distance between the x-coordinates of R and T is .: 3; The distance between the y-coordinates of R and T is .: 6; R' is from T, so the coordinates of R' are .: 1 unit left, 2 units up; R' is from T, so the coordinates of R' are .: (2, 0)

Question 6

⇒ 0

Revolt · Accepted Answer

112578

Question 7

Question 7

Revolt · Accepted Answer

1

Question 8

Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements.

Revolt · Accepted Answer

The slope of AC is .: 4; The slope of EG is .: 2; The polygons are not dilations of each other because .: the corresponding sides are not parallel

Question 9

Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements.

Revolt · Accepted Answer

D: ✔ 4

Question 10

–201✔ 2

Revolt · Accepted Answer

D: ✔ 2

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