Free Printable Dilations Practice 2

1.

$\Delta G'H'K'\$ is a dilation of $\Delta GHK$ , with the origin as the center of dilation.

Which of the following is the appropriate algebraic representation of the dilation shown on the graph?

a)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

b)

$\left(x,\ y\right)\ \longrightarrow\ \left(3x,\ 3y\right)$

c)

$\left(x,\ y\right)\ \longrightarrow\ \left(x+3,\ y+3\right)$

d)

$\left(x,\ y\right)\ \longrightarrow\ \left(3.5x,\ 3.5y\right)$

2.

$\Delta$ A'B'C' is a dilation of $\Delta$ ABC, with the origin as the center of dilation.

Which of the following is the appropriate algebraic representation of the dilation?

a)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{4}x,\ \frac{1}{4}y\right)$

b)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

c)

$\left(x,\ y\right)\ \longrightarrow\ \left(4x,\ 4y\right)$

d)

$\left(x,\ y\right)\ \longrightarrow\ \left(-4x,\ -4y\right)$

3.

Rectangle M'N'P'R' is a dilation of rectangle MNPR, with the origin as the center of dilation.

Which of the following is the scale factor used to dilate the rectangle?

a)

$\frac{1}{2}$

b)

$2$

c)

$2\ \frac{1}{2}$

d)

$5$

4.

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation.

Which of the following is the appropriate algebraic representation of the dilation?

a)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{5}{2}x,\ \frac{5}{2}y\right)$

b)

$\left(x,\ y\right)\ \longrightarrow\ \left(2\ \frac{1}{2}x,\ 2\ \frac{1}{2}y\right)$

c)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{2}{5}x,\ \ \frac{2}{5}y\right)$

d)

$\left(x,\ y\right)\ \longrightarrow\ \left(5x,\ 5y\right)$

5.

Quadrilateral S'T'U'V' is a dilation of quadrilateral STUV, with the origin as the center of dilation.

Which of the following is the scale factor used to create quadrilateral S'T'U'V'?

a)

$2$

b)

$3$

c)

$2.5$

d)

$\frac{3}{2}$

6.

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation.

Which of the following is the appropriate algebraic representation of the dilation?

a)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{3}x,\ \frac{1}{3}y\right)$

b)

$\left(x,\ y\right)\ \longrightarrow\ \left(3x,\ 3y\right)$

c)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

d)

$\left(x,\ y\right)\ \longrightarrow\ \left(2x,\ 2y\right)$

7.

$\Delta E'F'G'$ is a dilation of $\Delta EFG$ , with the origin as the center of dilation.

Which of the following is the algebraic representation of the dilation shown on the graph?

a)

$\left(x,\ y\right)\ \longrightarrow\ \left(2x,\ 2y\right)$

b)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{5}{2}x,\ \frac{5}{2}y\right)$

c)

$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{3}{2}x,\ \frac{3}{2}y\right)$

d)

$\left(x,\ y\right)\ \longrightarrow\ \left(3x,\ 3y\right)$

8.

Polygon A'B'C'D'E' is a dilation of polygon ABCDE, with the origin as the center of dilation.

Which of the following is the scale factor that was used to create the dilation?

a)

$4$

b)

$2$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

9.

Quadrilateral R'S'T'V' is a dilation of quadrilateral RSTV, with the origin as the center of dilation.

Which of the following is true?

a)

A scale factor of 2 was used to create this dilation.

b)

The side lengths of R'S'T'V' are twice the lengths of RSTV.

c)

The dilation is an enlargement with a scale factor of (1/2).

d)

The dilation is a reduction by a scale factor of (1/2).

10.

Quadrilateral W'X'Y'Z' is a dilation of quadrilateral WXYZ, with the origin as the center of dilation.

Which of the following is true?

a)

The side lengths of W'X'Y'Z' are twice the length of WXYZ.

b)

The side lengths of W'X'Y'Z' are one-half the length of WXYZ.

c)

The corresponding angles of W'X'Y'Z' are twice the measure of the angles in WXYZ.

d)

The side lengths of W'X'Y'Z' are one-fourth the length of WXYZ.

11.

$\Delta A'B'C'$ is a dilation of $\Delta ABC$ , with the origin as the center of dilation.

If A represents the area of $\Delta ABC$ , which of the following could be used to calculate the area of $\Delta A'B'C'$ ?

a)

$A\cdot\left(\frac{1}{4}\right)^2$

b)

$A\cdot\left(\frac{1}{4}\right)^4$

c)

$4\cdot A$

d)

$4^2\cdot A$

12.

$\Delta G'H'K'\$ is a dilation of $\Delta GHK$ , with the origin as the center of dilation.

If P represents the perimeter of $\Delta GHK$ , which expression can be used to calculate the perimeter of $\Delta G'H'K'$ ?

a)

$\frac{1}{3}P$

b)

$3P$

c)

$P+3$

d)

$3.5P$

13.

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation.

If P represents the perimeter of quadrilateral ABCD, which of the following expressions can be used to find the perimeter of quadrilateral A'B'C'D'?

a)

$\frac{5}{2}P$

b)

$2\ \frac{1}{2}P$

c)

$\frac{2}{5}P$

d)

$5P$

14.

Quadrilateral S'T'U'V' is a dilation of quadrilateral STUV, with the origin as the center of dilation.

If A represents the area of quadrilateral STUV, which expression can be used to calculate the area of quadrilateral S'T'U'V'?

a)

$A\cdot2$

b)

$A\cdot3^2$

c)

$A\ +\ \left(\frac{3}{2}\right)^2$

d)

$A\cdot\left(\frac{3}{2}\right)^2$

15.

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation.

If A represents the area of quadrilateral ABCD, which expression can be used to calculate the area of quadrilateral A'B'C'D'?

a)

$\left(\frac{1}{4}\right)^2\cdot A$

b)

$2^2\cdot A$

c)

$\left(\frac{1}{2}\right)^2\cdot A$

d)

$4^2\cdot A$

Dilations Practice 2

Total questions: 15

Worksheet time: 15mins

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