Similar Figures Assignment and Quiz

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.

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

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)?

(0, 1)

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?

(-8, -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 __________________.

4
2
the corresponding sides areno tparallel

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?

(6, -3)

Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?

1/3

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

B

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

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

△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 _____________

3
6

1 unit left, 2 units up
(2, 0)

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

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

Triangle MNP is dilated according to the rule DO,1.5 (x,y)(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.



What are the coordinates of the endpoints of segment M'N'?

M'(-6, 9) and N'(3, 9)

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? Check all that apply.

∠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'

Triangle ABC was dilated and translated to form similar triangle A'B'C'.



What is the scale factor of the dilation?

5/2

Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.



Which statements are true about the parallelograms? Check all that apply.

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.

Triangle KLM was dilated according to the rule
DO,0.75 (x,y).



What is true about the image △K'L'M'? Check all that apply.

DO, 0.75 (x,y) = (0.75x, 0.75y)
LM is parallel to L'M'.
The vertices of the image are closer to the origin than those of the pre-image.

Triangle MNP will be dilated according to the rule
(x,y), where point P is the center of dilation.



What will be the coordinates of vertex N' of the image?

(-2, 6)

Trapezoid DEFG is dilated according to the rule
DO,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?

(-2, 1)

Triangle STV was dilated with the origin as the center of dilation to form S'T'V'.



What is the scale factor of the dilation?

1/3

Which graph shows a dilation?

C