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Worksheets

8A Transformations and Special angles

Total questions: 30

Worksheet time: 2hrs 50mins

Name
Class
Date
1.
What is the relationship of the angles?
a)
Corresponding angles
b)
Same Side Interior
c)
Alternate Interior
d)
Alternate Exterior
2.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
3.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
4.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
5.

Two angles whose sum equals 180° are called...

a)

supplementary angles.

b)

obtuse angles.

c)

complementary angles

d)

a straight line.

6.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

7.

What kind of transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

8.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

9.

Describe the transformation:

(x, y) -> (x, y-2)

a)

Translation 2 units to the left

b)

Translation 2 units up

c)

Translation 2 units to the right

d)

Translation 2 units down

10.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

11.

If point H(–6, 2) is translated 4 units up and 3 units right, what are the coordinates of the translated image?

a)

(-2, 5)

b)

(-3, 6)

c)

(-9, -2)

d)

(-9, 6)

12.

Point N(6, –5) is reflected across the

x-axis. What are the coordinates of the image?

a)

(-6, -5)

b)

(-5, 6)

c)

(5, -6)

d)

(6, 5)

13.

Suppose triangle RST shown on the

coordinate grid is reflected across the y-axis. Which ordered pair does not represent a vertex of the reflected triangle?

a)

(5, 1)

b)

(-4, -2)

c)

(2, -4)

d)

(-2, 4)

14.

Triangle LMN has vertices L(–1, 4), M(–2, 4), and N(–1, –1). What are the coordinates of the image of point M after a dilation with a scale factor of 3?

a)

(-6, 12)

b)

(-6, 4)

c)

(-2, 12)

d)

(12, -6)

15.

If the figure is rotated 90 degrees clockwise, what are the coordinates of R?

a)

(-3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(3, 3)

16.

Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?

a)

R'(–5, 1), S'(–1, 1), and T'(–1, –4)

b)

R'(–5, –1), S'(3, –1), and T'(–1, –4)

c)

R'(–1, –1), S'(3, –1), and T'(3, –6)

d)

R'(–5, –1), S'(–1, –1), and T'(–1, –6)

17.

Point A(3, 5) was dilated, and the point after dilation was A’(6, 10).  What was the scale factor used?

a)

1/2

b)

2

c)

1

d)

3

18.

What scale factor was used for the dilation shown?

a)

1/2

b)

1

c)

2

d)

3

19.

The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?

a)

(-3, 4)

b)

(3, -4)

c)

(-3, -4)

d)

(3, 4)

20.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
d)

(x-2, y+9)

21.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
22.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
23.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

24.

Which of the following angles would NOT be congruent to the measure of 7\angle7 ?

a)

2\angle2  

b)

3\angle3  

c)

6\angle6  

d)

8\angle8  

25.

Find the value of x if the  m3 = 4x+5°m\angle3\ =\ -4x+5\degree and the  m5 = 13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

26.

Find the value of x if the  m1 = 12x+19°m\angle1\ =\ 12x+19\degree and the  m2 = 22x9°m\angle2\ =\ 22x-9\degree .

a)

-2.8

b)

2.8

c)

-5

d)

5

27.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

123°123\degree  

b)

57°57\degree  

c)

180°180\degree  

d)

Cannot be determined

28.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot be determined

29.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
30.

Find the value of x and y.

a)

x = 20 and y = 94

b)

x = 67 and y = 40

c)

x =117 and y = 63