21.8.3C Dilations With Algebraic Representation

Dilations have which operation?

• Addition

• Subtraction

• Multiplication

• Division

Which of the following algebraic rules represents a dilation?

• (x, y) --> (3x, 3y)

• (x, y) --> (3x, 2y)

• (x, y) --> (x - 3, y + 5)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (3x, 0.5y)

Triangle E’F’G’ is a dilation of triangle EFG.

Which rule best represents the dilation shown?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (x + 2, y - 2)

• (x, y) --> (2x, 0.5y)

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

What is the formula for scale factor?

Which of the following does NOT preserve congruence?

• Dilations

• Translations

• Reflections

• Rotations

The pre-image, MNOP, has vertices M(2,1.5),N(2, 4),O(5, 4), P(5,1.5). A transformation is applied

to create the image, M’N’O’P’, which has vertices M'(8,6), N'(8,16), O'(20,16), P'(20,6). Which

rule represents this transformation?

• 
• 
• 
• 

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not answers will be used.

b

d