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Math 2 - Practice 9.1/9.2 Reflections and Translations

Total questions: 25

Worksheet time: 31mins

Name
Class
Date
1.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
2.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
3.

Match the following terms to their definition.

a)

When you turn an object around a point.

1.

Rotation

b)

When you slide an object form one place to another.

2.

Translation

c)

When you flip or mirror an object across a line.

3.

Reflection

d)

When you resize an object.

4.

Dilation

4.

Match the following

a)
1.

Translation

b)
2.

Reflection

c)
3.

Rotation

5.

Match the Transformations.

a)
1.

Reflection

b)
2.

Translation

c)
3.

Rotation

6.
The mathematical term for the line that you reflect a shape over is the...
a)
Mirror
b)
Reflective tape
c)
Line that you reflect over
d)
Line of reflection
7.

The rule for translation is   (x, y) --> _ (a)  

Choose from the below words
(x+H, y+K)
(kx, ky)
(x, -y)
(-x, y)
8.

The rule for reflection over the x-axis is   (x, y) --> _ (a)  

Choose from the below words
(-x, y)
(x, -y)
(y, x)
(-y, -x)
9.

The rule for reflection over the y-axis is  (x, y) --> _ (a)  

Choose from the below words
(-x, y)
(x, -y)
(y, x)
(-y, x)
10.
Chose the correct transformation:
(x, y) ----- (-x, y)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
11.
Chose the correct transformation:
(x, y) ----- (x, -y)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
12.

Chose the correct transformation: (x, y) ----- (x - H, y)

a)

Translation up

b)

Translation left

c)

Translation down

d)

Translation right

13.

Chose the correct transformation: (x, y) ----- (x , y + K)

a)

Translation up

b)

Translation left

c)

Translation down

d)

Translation right

14.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
15.
Describe the transformation shown on the graph.
a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Translation Up

d)

Rotate 90 degrees CCW

16.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 180 degrees
d)
Translate 4 units right
17.

Find the Image of M(-5,3) if the point has undergone a reflection across the line y=x.

***to answer plot the image point on the graph***

18.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
19.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
20.
B(-2, -4)
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
21.

The reflection of J (-1,11) is J' (-1, -11).  what is the reflection of D (5, -5) when reflected over the same axis of reflection? 

a)

(-5,5)

b)

(5,5)

c)

(5,-5)

d)

(-5, -5)

22.

Find the Image of M(-5,3) if the point has undergone a translation of (x+7,y-2).

***to answer plot the image point on the graph***

23.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
24.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1) 
What are the coordinates of K'? 
a)
(6, 3)
b)
(7, 3) 
c)
(7, 1) 
d)
(5, 3) 
25.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these