Quiz about Transformations Review

Question 1

Which is a correct rule for rotating an object 90 degrees counterclockwise around the orgin.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

What is a rule that reflects any point over the x-axis?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

If Point B (-4, -6) is reflected to create B' (4, -6), then what reflection occurred?

Accepted Answer

Reflection over the y-axis

Answer

Reflection over the x-axis

Answer

Reflection over the line y = x

Answer

Reflection over point (-4, 0)

Question 4

The line segment CD with endpoints C (5, -7) and D (-3, 9) is rotated 270 degrees counterclockwise around the origin. What is the the coordinate of D'?

Accepted Answer

( 9 , 3 )

Answer

( -3, -9)

Answer

( 3, -9)

Answer

( 9 , -3)

Question 5

If B ( 2, 3 ) is translated to B' (0 , -1) , then what translation was applied?

Accepted Answer

$$\left(x,\ y\right)\rightarrow\left(x-2,\ y-4\right)$$

Answer

$$\left(x,\ y\right)\rightarrow\left(x+2,\ y+4\right)$$

Answer

$$\left(x,\ y\right)\rightarrow\left(x+4,\ y\ +2\right)$$

Answer

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

Question 6

Find the image of point B (-3, 4) after a rotation of 180 degrees around the origin

Accepted Answer

( 3, -4 )

Answer

( -3 , -4)

Answer

( 4, -3 )

Answer

( -4 , 3)

Question 7

Write a rule for the translation.

Accepted Answer

(x +2, y  - 1)

Answer

(x -1, y  + 2)

Answer

(x -2, y  + 1)

Answer

(x +1, y  -  2)

Question 8

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

Accepted Answer

translation

Answer

dilation

Answer

rotation

Answer

reflection

Question 9

Reflect Point C over the y-axis:

Accepted Answer

(-3, 2)

Answer

(3,2)

Answer

(-2,3)

Answer

(3,0)

Question 10

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

Accepted Answer

A

Answer

B

Answer

C

Answer

H

Question 11

State the line of reflection.

Accepted Answer

Reflection across x-axis

Answer

Reflection across y-axis

Answer

Reflection across x = 1

Answer

Reflection across y = 1

Question 12

The point ( -2,5) is reflected over the line x = 1.  Find its image.

Accepted Answer

(  4,  5)

Answer

( -2  , -5)

Answer

( 2  ,  5)

Answer

(2   , -5)

Question 13

Translations, reflections and rotations are all known as ________________________.

Accepted Answer

Transformations

Answer

Geometry

Answer

Congruent

Question 14

The new figure created from a transformation is...

Accepted Answer

Image

Answer

Pre-image

Question 15

A flip is also called a _________.

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Transformation

Question 16

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

Accepted Answer

Reflection across the y-axis

Answer

Reflection across the x-axis

Answer

90^o clockwise rotation

Answer

90^o counterclockwise rotation

Question 17

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

Accepted Answer

x-coordinate

Answer

x-axis

Answer

y-coordinate

Answer

none of the above

Question 18

Reflections over the x-axis change the ____-__________.

Accepted Answer

y-coordinate

Answer

x-coordinate

Answer

y-axis

Answer

x-axis

Question 19

How is Quadrilateral EFGH translated to E'F'G'H'?

Accepted Answer

6 down, 3 left

Answer

6 down

Answer

6 down, 1 right

Answer

8 down, 1 right

Question 20

Quadrilateral BQVN contains the points:
B(-2,4) Q(-2, -4) V(2,4) N(2, -4). If the quadrilateral is translated to the right 2, what will B' be?

Accepted Answer

B'(0, 4)

Answer

B'(-4, 4)

Answer

B'(-6, 4)

Answer

B'(-2, 6)

Question 21

What does this transformation say to do?
(x, y) -----> (x, y +4)

Accepted Answer

slide up 4

Answer

slide down 4

Answer

slide right 4

Answer

slide left 4

Question 22

Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?

Accepted Answer

(7, 1)

Answer

(6, 3)

Answer

(7, 3)

Answer

(5, 3)

Transformations Review

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