Quiz about Dilation Algebraic Representation

Question 1

Which of the following algebraic rules represents a dilation?

Accepted Answer

(x, y) --> (0.5x, 0.5y)

Accepted Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (3x, 2y)

Answer

(x, y) --> (x - 3, y + 5)

Answer

(x, y) --> (3x, 0.5y)

Question 2

What is the algebraic representation for this dilation?

Accepted Answer

( x , y ) --> ( 0.25 x , 0.25 y )

Answer

( x , y ) --> ( 25 x , 25 y )

Answer

( x , y ) --> ( 2.5 x , 2.5 y )

Answer

( x , y ) --> ( x , y )

Question 3

What is the algebraic representation for this dilation?

Accepted Answer

( x , y ) --> ( 2 x , 2 y )

Answer

( x , y ) --> ( 1/2 x , 1/2 y )

Answer

( x , y ) --> ( 1/2 x , 2 y )

Answer

( x , y ) --> ( 2 x , 1/2 y )

Question 4

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation. Which of the following is the appropriate algebraic representation of the dilation?

Accepted Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{2}{5}x,\ \ \frac{2}{5}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{5}{2}x,\ \frac{5}{2}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(2\ \frac{1}{2}x,\ 2\ \frac{1}{2}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(5x,\ 5y\right)$$

Question 5

Which of the following algebraic rules represents a dilation? (more than one answer)

Accepted Answer

(x, y) --> (0.5x, 0.5y)

Accepted Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (3x, 2y)

Answer

(x, y) --> (x - 3, y + 5)

Answer

(x, y) --> (3x, 0.5y)

Question 6

What is the algebraic representation for this dilation?

Accepted Answer

( x , y ) --> ( 3/7 x , 3/7 y )

Answer

( x , y ) --> ( 7/3 x , 7/3 y )

Answer

( x , y ) --> ( 3x , 7y )

Answer

( x , y ) --> ( x +3 , y +7 )

Question 7

What is the algebraic representation for this dilation?

Accepted Answer

( x , y ) --> ( 3/2 x , 3/2 y )

Accepted Answer

( x , y ) --> ( 1.5 x , 1.5 y )

Answer

( x , y ) --> ( 2/3 x , 2/3 y )

Answer

( x , y ) --> ( 0.33 x , 0.33 y )

Question 8

Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD, with the origin as the center of dilation. Which of the following is the appropriate algebraic representation of the dilation?

Accepted Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{2}{5}x,\ \ \frac{2}{5}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(\frac{5}{2}x,\ \frac{5}{2}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(2\ \frac{1}{2}x,\ 2\ \frac{1}{2}y\right)$$

Answer

$$\left(x,\ y\right)\ \longrightarrow\ \left(5x,\ 5y\right)$$

Question 9

What is the algebraic representation for this dilation?

Accepted Answer

( x , y ) --> ( 2 x , 2 y )

Answer

( x , y ) --> ( x -2 , y -2 )

Answer

( x , y ) --> ( x +2 , y + 2 )

Answer

( x , y ) --> ( 1/2 x , 1/2 y )

Question 10

What is the algebraic rule for the dilated image?

Accepted Answer

( x , y ) --> ( 3x, 3y )

Answer

( 3x, 3y ) --> ( x , y )

Answer

(x , y) --> (0.3x , 0.3y)

Answer

( x , y ) --> ( 2x, 2y )

Question 11

Which of the following algebraic rules represents an enlargement?

Accepted Answer

(x, y) --> (5x, 5y)

Accepted Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (0.5x, 0.5y)

Answer

(x, y) --> (0.75x, 0.75y)

Answer

(x, y) --> (0.999x, 0.999y)

Question 12

Which is an example of the algebraic rule for a DILATION?

Accepted Answer

(3x, 3y)

Answer

(x+3, y-2)

Answer

(-x, -y)

Answer

(y, -x)

Question 13

Which of the following could be a dilation?

Accepted Answer

(6x, 6y)

Answer

(x + 1, y - 5)

Answer

(x, -y)

Answer

(-x, -y)

Dilation Algebraic Representation

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