Free Printable Unit 2 Review - Symmetry and Transformations

1.

If DEFG is reflected across the line y = x, what are the coordinates of F'?

a)

(2, -5)

b)

(5, -2)

c)

(-5, 2)

d)

(-2, 5)

2.

Triangle ABC is reflected across the x-axis and then reflected across the y-axis to create

\Delta A'B'C'

. What are the coordinates of A'?

a)

(2, -3)

b)

(-3, -2)

c)

(-2, -3)

d)

(-2, 3)

3.

In the graph,

\Delta J'K'L'

is the image of

\Delta JKL

after a counter-clockwise rotation. What was the degree of rotation?

a)

45°

b)

90°

c)

180°

d)

270°

4.

Which transformation is illustrated in the graph?

a)

Rotation 180° about the origin.

b)

Rotation 90° clockwise about the origin.

c)

Reflection about the line y = x

d)

Reflection about the line y = -x

5.

How many lines of Symmetry does this hexagon have?

a)

3

b)

6

c)

9

d)

12

6.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

7.

Which of the following letters has point symmetry, but not line symmetry?

a)

H

b)

I

c)

Z

d)

X

8.

What kind of symmetry does a rectangle have?

a)

only line symmetry

b)

only point symmetry

c)

both line and point symmetry

d)

no symmetry

9.

What kind of symmetry does this image have?

a)

both point and line symmetry

b)

only point symmetry

c)

only line symmetry

d)

no symmetry

10.

What kind of symmetry does this isosceles trapezoid have?

a)

only point symmetry

b)

only line symmetry

c)

both point and line symmetry

d)

no symmetry

11.

Look at the graph. Which shape is the pre-image?

a)

triangle GIH

b)

triangle G'I'H'

12.

What would be the coordinates of point K if it was reflected over the x-axis?

a)

(-5, -2)

b)

(-5, 2)

c)

(5, -2)

13.

Choose the answer that describes the translation from point P (2, 5) to the image P′ (−1, 7).

a)

Move 3 units left and 2 units up.

b)

Move 3 units right and 2 units up.

c)

Move 3 units left and 7 units up.

d)

Move 2 units right and 2 units up.

14.

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following could be that transformation?

a)

A reflection across the y-axis

b)

A dilation with a scale factor of 4

c)

A translation of 6 units up

d)

A translation of 6 units to the right

15.

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

a)

P′ (1, −6), Q′ (4, −6), R′ (6, −8)

b)

P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)

c)

P′ (5, −2), Q′ (8, −2), R′ (10, −4)

d)

P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

16.

Square ABCD is translated by the rule (x – 3, y + 1). What are the coordinates of D′?

a)

(–2, 4)

b)

(4, 2)

c)

(0, 0)

d)

(–3, 4)

17.

Triangle XYZ is translated so that X′ is at (4, –2). Which rule defines this translation?

a)

(x + 2, y – 6)

b)

(x – 6, y + 2)

c)

(2x, y – 6)

d)

(x – 2, y + 6)

18.

The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?

a)

(−a, b)

b)

(−a, −b)

c)

(a, −b)

d)

(a, b)

19.

Point P (a, b) is reflected across the y-axis. Point P′ has coordinates (−b, q). Which of the following are true, regardless of the values of a, b, or q?

a)

a = −b and b = −q

b)

a = b and b = −q

c)

a = −b and b = q

d)

a = b and b = q

20.

A reflection is applied to triangle ABC according to the rule (x, y) → (x, –y). Which of the following will describe the effect of the reflection?

a)

A′ will stay as the top vertex.

b)

C′ will now be the top vertex.

c)

C′ will stay as the bottom vertex.

d)

B′ will be the bottom vertex.

21.

A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?

a)

(x, y) → (y, −x)

b)

(x, y) → (−x, −y)

c)

(x, y) → (−y, x)

d)

(x, y) → (x, y)

22.

What type of transformation changed Shape A to Shape B?

a)

rotation 180 degrees

b)

rotation 90 degrees counter-clockwise

c)

translation down and to the right

d)

rotation 270 degrees counter-clockwise

23.

An arrow that points north is rotated 90° clockwise. What direction does the arrow point after the rotation?

a)

northeast

b)

east

c)

west

d)

southwest

24.

The rectangle above is rotated 90° clockwise about the origin. Which shows the image of the rectangle after the rotation?

a)

Graph F

b)

Graph G

c)

Graph H

d)

Graph J

25.

Which describes the transformation shown?

a)

Reflection over the y-axis

b)

Rotation $270\degree$ clockwise

c)

Rotation $90\degree$ clockwise

d)

Translation left

26.

Which describes the translation shown?

a)

Translation left and up

b)

Rotation $180\degree$

c)

Reflection over the line y = x

d)

Translation right and down

27.

Triangle IJK has the coordinates listed:

I(5, -8) J(10,-8) K(7, -4)

Where is J' after a reflection of the y-axis.

a)

(-10,-8)

b)

(10,8)

c)

(8,10)

d)

(-8,10)

28.

Which of the following is the algebraic representation for a translation 6 units up and 7 units left?

a)

(x + 7, y - 6)

b)

(x - 7, y + 6)

c)

(x + 6, y - 7)

d)

(x - 6, y + 7)

29.

Which transformation is shown by the following coordinates?

L(-1 , 9) M(-8, 8) N(-3, 5)

L'(-9, -1) M'(-8, -8) N'(-5, -3)

a)

Reflections over the x-axis

b)

Translation 8 units left and 8 units down

c)

Rotation $90\degree$ clockwise

d)

Rotation $270\degree$ clockwise

30.

Which is the algebraic representation for a rotation

180\degree

clockwise?

a)

(y , x)

b)

(-y, x)

c)

(y, -x)

d)

(-x, -y)

31.

Which transformation will always produce the same image as a rotation

90\degree\

counterclockwise?

a)

A reflection over the line y = x

b)

A rotation $270\degree$ clockwise

c)

A rotation $90\degree$ clockwise

d)

A reflection over the line y = -x

32.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

33.

The figure before the transformation is called the:

a)

Pre-Image

b)

Image

c)

Dilation

d)

Transformation

34.

Which rule would result in a translation of 3 units up and 2 units left ?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

35.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

36.

Which rule describes this transformation?

a)

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

b)

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

c)

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

d)

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

37.

The point (8, 12) was dilated to become point (2, 3). Which rule describe this transformation?

a)

$\left(x,y\right)\rightarrow\left(2x,\ 3y\right)$

b)

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

c)

$\left(x,y\right)\rightarrow\left(x-6,\ y-9\right)$

d)

$\left(x,y\right)\rightarrow\left(x+6,\ y+9\right)$

38.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

39.

What transformation is visible?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

40.

Reflect this image over the the x-axis. Which point would be at (3, -6)?

a)

A

b)

B

c)

C

d)

H

Unit 2 Review - Symmetry and Transformations

Total questions: 40

Worksheet time: 1hrs 20mins

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