Quiz about Transformation Algebraic Rules

Question 1

What is an example of the algebraic rule for a TRANSLATION?

Accepted Answer

(x+3, y-2)

Answer

(3x, 3y)

Answer

(x, -y)

Answer

(y, -x)

Question 2

Which algrebraic rule shows a REFLECTION across the x-axis?

Accepted Answer

(x, -y)

Answer

(-x, y)

Answer

(4x, 4y)

Answer

(y, -x)

Question 3

Which algrebraic rule shows a REFLECTION across the y-axis?

Accepted Answer

(-x, y)

Answer

(x+9, y+3)

Answer

(7x, 10y)

Answer

(y, -x)

Question 4

Which is the algebraic rule for a 180 degree rotation?

Accepted Answer

(-x, -y)

Answer

(-y, x)

Answer

(x -2, y-4)

Answer

(5x, 5y)

Question 5

What is the algebraic rule?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

A figure is translated 7 units up. Which algebraic representation best describes this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x,y+7\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(x+7,y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(7x,\ 7y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(\frac{1}{7}x,\frac{1}{7}y\right)$$

Question 7

What is L' after a reflection over the x-axis?

Accepted Answer

(3, -4)

Answer

(-3, -4)

Answer

(3, 4)

Answer

(-3, 4)

Question 8

Which answer shows a reflection across the x-axis?

Accepted Answer

c

Answer

d

Answer

b

Answer

a

Question 9

Point C (-5, 4)

Reflect over the x-axis.

What is C'?

Accepted Answer

(-5, -4)

Answer

(5, 4)

Answer

(5, -4)

Answer

(-5, 4)

Question 10

Which is a rule for a reflection over the x-axis?

Accepted Answer

$$f\left(x,y\right)=\left(x,-y\right)$$

Answer

$$f\left(x,y\right)=\left(-x,y\right)$$

Answer

$$f\left(x,\ y\right)=\ \left(-y,\ x\right)$$

Answer

$$f\left(x,\ y\right)=\ \left(y,-\ x\right)$$

Question 11

What happens to the x- and y-coordinates of a point, if it is reflected over the x-axis?

Accepted Answer

The x-coordinate stays the same and the y-coordinate changes the sign.

Answer

The x-coordinate changes the sign and the y-coordinate stays the same.

Answer

The x-coordinate and the y-coordinate stay the same.

Question 12

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 13

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

Accepted Answer

y-coordinate

Answer

x-coordinate

Answer

y-axis

Answer

x-axis

Question 14

(x,y) --> (x+a, y+b)

Accepted Answer

translation

Answer

rotation

Answer

reflection

Answer

dilation

Question 15

Chose the correct transformation:
(x, y) --> (x , y + 2)

Accepted Answer

Translation 2 units up

Answer

Translation 2 units left

Answer

Translation 2 units down

Answer

Translation 2 units right

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