Free Printable Dilation on the Coordinate Plane

1.

If triangle EFG is dilated by a scale factor of 1, $E'$ will be located at what ordered pair?

(a)

2.

A scale factor of $\frac{2}{3}$ will (a) the size of a figure.

3.

Which of the following transformations produces a figure that is congruent to the original figure?

a)

Rotations

b)

Reflections

c)

Translations

d)

Dilations

4.

The result of a transformation. (NEW)

a)

Pre-image

b)

Image

5.

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(x,-y\right)$

b)

$\left(x,y\right)\rightarrow\left(x,y+8\right)$

c)

$\left(x,y\right)\rightarrow\left(-y,x\right)$

d)

$\left(x,y\right)\rightarrow\left(-x,y\right)$

6.

Dilations produce ___________ figures.

a)

congruent

b)

same

c)

different

d)

similar

7.

A trapezoid on a coordinate grid is dilated to create a larger trapezoid. Which rule could represent this dilation?

a)

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

b)

$\left(x+4,\ y+3\right)$

c)

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

d)

$\left(0.35x,\ 0.35y\right)$

8.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

9.

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

a)

(-6, 1)

b)

(-3, -2)

c)

(1, -6)

d)

(-2, -3)

10.

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?

a)

A reflection across the x-axis

b)

A translation 7 units down

c)

A dilation by scale factor of 5

d)

A rotation of $90\degree$ clockwise

11.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

12.

What is the algebraic rule for the dilation represented in this table?

a)

(2x, 2y)

b)

(x, y)

c)

$\left(\frac{3}{4}x,\frac{3}{4}y\right)$

d)

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

13.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

14.

If the scale factor is ________ than one, it will reduce the figure.

a)

more

b)

less

15.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

16.

If the scale factor is _______ than one, it will enlarge the figure.

a)

more

b)

less

17.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

18.

A figure is graphed on a coordinate grid as shown. The figure is rotated $180\degree$ clockwise withthe origin as the center of rotation to create a new figure. Which rule describes this transformation?

a)

$\left(x,y\right)\rightarrow\left(-x,-y\right)$

b)

$\left(x,y\right)\rightarrow\left(x,-y\right)$

c)

$\left(x,y\right)\rightarrow\left(-y,-x\right)$

d)

$\left(x,y\right)\rightarrow\left(-x,y\right)$

19.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

20.

What is congruency?

a)

Same size and shape

b)

Same size

c)

segment

d)

congruent

Dilation on the Coordinate Plane

Total questions: 20

Worksheet time: 21mins

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