Free Printable Transformations REVIEW

1.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

(x + 5, y - 5) 5 units down and 5 units to the right

b)

(x + 1, y - 5) 5 units down and 1 to the right

c)

(x + 5, y - 8) 8 units down and 5 units to the right

d)

(x + 4, y - 5) 5 units down and 4 units to the right

2.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

3.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

reflection

b)

translation

c)

rotation

d)

dilation

4.

Which algebraic rule shows how triangle ABC being translated to triangle A'B'C'?

a)

(x, y) --> (x - 3, y + 8)

b)

(x, y) --> (x + 3, y - 8)

c)

(x, y) --> (x - 4, y + 9)

d)

(x, y) --> (x + 4, y - 9)

5.

Going from (x,y) to (-x,-y) will result in a counter-clockwise rotation of _____ degrees.

a)

90

b)

180

c)

270

d)

360

6.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

7.

When you dilate, you ______ x and y by a number.

a)

Multiply

b)

Add

c)

Subtract

d)

Divide

8.

When you translate, you ______ a number to x and y.

a)

Add or subtract

b)

Multiply or divide

c)

Add or multiply

d)

Subtract or divide

9.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counterclockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

10.

Which rule applies to a dilation by a scale factor of 4

a)

(x, y) ----> (x + 4, y + 4)

b)

(x, y) ----> (4x, 4y)

c)

(x, y) ----> (y, -x)

d)

(x, y) ----> (x, -y)

11.

$\Delta RST$ was transformed on the graph. What type of transformation is shown?

a)

Rotation 90cw

b)

Dilation

c)

Reflection across the x - axis

d)

Reflection across the y-axis

12.

Which algebraic expression matches the transformation?

a)

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

b)

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

c)

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

d)

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

13.

A figure will be dilated by a scale factor of 1.4. How will this effect the PERIMETER of the figure?

a)

It will change by a scale factor of 1.96

b)

It will change by a scale factor of 1.4

c)

It will stay the same

14.

A figure has an area of 50 units²What will the new area be after a dilation with a scale factor of 3?

a)

150 units²

b)

7,500 units²

c)

450 units²

15.

Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F'G′H′J′. Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F'G′H′J′?

a)

$\left(x,\ y\right)\rightarrow\ \left(\frac{5}{7}x,\ \frac{5}{7}y\right)$

b)

$\left(x,\ y\right)\rightarrow\ \left(x+1,\ y+2\right)$

c)

$\left(x,\ y\right)\rightarrow\left(1.4x,\ 1.4y\right)$

d)

$\left(x,\ y\right)\rightarrow\ \left(x-2,\ y+1\right)$

16.

Triangle LMN and triangle L’M’N’ are similar triangles. Which proportion must be true?

a)

$\frac{2}{4}=\frac{1.62}{2.7}$

b)

$\frac{2.34}{x}=\frac{5}{3}$

c)

$\frac{2}{2.7}=\frac{1.62}{y}$

d)

$\frac{2.34}{x}=\frac{3}{5}$

17.

Figure A is transformed to create figure B as shown below. Which statements about figures A and B are true?

a)

Figure A is reflected over the x-axis to create figure B. Corresponding angles between figure A and figure B will not be congruent.

b)

Figure A is rotated 90° counterclockwise to create figure B. Figure A and figure B will have the same orientation.

c)

Figure A is reflected over the x-axis to create figure B. Corresponding sides and corresponding angles of figure A and figure B will be congruent.

d)

Figure A is rotated 270° clockwise to create figure B. Figure A and figure B will not have the same orientation.

18.

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3 times the corresponding dimension of the playground. Which statement is true?

a)

The area of the field is 9 times the area of the playground.

b)

The area of the field is 3 times the area of the playground.

c)

The area of the field is $\frac{1}{9}$ times the area of the playground.

d)

The area of the field is $\frac{1}{3}$ times the area of the playground.

19.

An architect was hired to construct a den in the shape of a square. If the client wanted to double the length of each side of the square, how would the new area of the room compare with the area of the original room?

a)

The areas would be exactly the same.

b)

The new area would be twice the original area.

c)

The new area would be four times the original area.

d)

The new area would be eight times the original area.

20.

If the dimensions of a rectangle are doubled, which of the following describes the effect on the perimeter?

a)

The perimeter will double.

b)

The perimeter will triple.

c)

The perimeter will quadruple.

d)

The perimeter will stay the same.

21.

Triangle ABC is dilated from the origin with a scale factor of 3. Which algebraic representation represents this dilation?

a)

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

b)

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

c)

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

d)

$\left(x,\ y\right)\rightarrow\ \left(x-3,\ y-3\right)$

Transformations REVIEW

Total questions: 21

Worksheet time: 41mins

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