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

The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y). What are the coordinates of Q', if Q(0, 2)? (, )

Revolt · Accepted Answer

Part 1: 0; Part 2: 1

Question 3

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 4

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. The slope of AC is . The slope of EG is . The polygons are not dilations of each other because .

Revolt · Accepted Answer

Selection 1: 4; Selection 2: 2; Selection 3: the corresponding sides are not parallel

Question 5

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 6

Question 6

Revolt · Accepted Answer

1/3

Question 7

Which graph has figures that can undergo a similarity transformation to justify that they are similar?

Revolt · Accepted Answer

C: Option C

Question 8

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

Revolt · Accepted Answer

A: a dilation with a scale factor greater than 1 and then a translation

Question 9

△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2). The distance between the x-coordinates of R and T is . The distance between the y-coordinates of R and T is . R' is from T, so the coordinates of R' are .

Revolt · Accepted Answer

C: 3

Question 10

Question 10

Revolt · Accepted Answer

1

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