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translation and reflection

Total questions: 55

Worksheet time: 2hrs 10mins

Name
Class
Date
1.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
2.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
3.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
4.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
5.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
6.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
7.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
8.

Where would A' be if you translated A 3 units to the right and 4 units down?

a)

(-4, 4)

b)

(-1, 0)

c)

(0, -1)

d)

(2, 3)

9.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
10.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
11.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
12.

Which graph shows the pre-image reflected over y-axis?

a)
b)
c)
d)
13.

Which graph is showing the pre-image reflected over the y-axis?

a)
b)
c)
d)
14.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
15.
∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?
a)
B'(2, -3)
b)
B'(-2, 3)
c)
B'(-2, -3)
d)
B'(2, 3)
16.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
17.
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
18.
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)
19.
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)
20.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
21.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
22.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
23.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
24.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this? 
a)
dilation
b)
translation
c)
rotation
d)
reflection
25.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
26.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
27.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
28.
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
29.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
30.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
31.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
32.
Another name for Reflection is...
a)
flip
b)
turn
c)
slide
d)
dilation
33.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
34.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
35.
How was B translated to B'
 if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
36.
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
37.
Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? 
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4) 
38.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
39.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
40.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x - 9 , y + 2)

b)

(x + 2, y - 9)

c)

(x - 2, y + 5)

d)

(x - 2, y + 9)

41.

Determine where Point T' would be if you translated Point T 6 units up and 3 units to the right.

a)

(5, 1)

b)

(5, 3)

c)

(6, 3)

d)

(3, 6)

42.

How is trapezoid ABCD translated to trapezoid A'B'C'D'? Select all that apply.

a)

Translation: (x, y) --> (x - 8, y + 5)

b)

Translated 5 units down and 1 unit right

c)

Translated 8 units down and 5 units right

d)

Translated 5 units down and 5 units right

e)

Translation: (x, y) --> (x + 5, y - 8)

43.

The original figure prior to a transformation is called the...

a)

Pre-image

b)

Image

44.

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)

(-3, 4)

45.

Which rule correctly describes this translation?

a)

(x - 6, y + 2)

b)

(x - 2, y + 6)

c)

(x + 2, y - 6)

d)

(x + 6, y - 2)

46.
What does a translation do to a figure on the coordinate plane?
a)
Rotates it
b)
Flips it
c)
Shrinks it
d)
Slides it
47.

What is the algebraic representation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) -->

(x - 9, y + 3)

b)

(x, y) -->

(x + 9, y - 3)

c)

(x, y) -->

(x + 3, y - 9)

d)

(x, y) -->

(9x, 3y)

48.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
49.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
50.
What is the rule for the following reflection? 
a)
Reflection across       y = 3
b)
Reflection across        x = −3
c)
Reflection across            x = 3
d)
Reflection across          y = −3
51.

Reflecting over the y-axis CHANGES the ____-_____________.

a)

y-coordinate

b)

x-coordinate

52.

Graph the image of the figure using the transformation given.

a)

a

b)

b

c)

c

d)

d

53.

True or False: when a shape is reflected, it changes size.

a)

True

b)

False

54.

True or False: when a shape is reflected, each point remains the same distance away from the line of reflection.

a)

True

b)

False

55.

If an image is translated to the right and up, which of these rules could have been used?

a)

T<-2, 5>

b)

T<6, -1>

c)

T<3, 4>

d)

T<-3, -8>

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