Enlargement or Reduction

Enlargement or Reduction

Remember Dilations = Multiplication

Enlargement

A figure is enlarged when the scale factor ,k, is more than 1. The image (new) will be larger than the preimage (old).

Reduction

A figure is reduced when the scale factor ,k, is less than 1 but more than 0. The image (new) will be smaller than the preimage (old).

Multiple Choice

A Dilation with a Scale Factor of a. Which algebraic expression represents this Dilation.

• ( a + x, a + y )

• ( ax, ay )

• ( a - x, a - y )

• ( ^a/_x, ^a/y )

Multiple Choice

A Dilation with a Scale Factor of u. Which algebraic expression represents this Dilation.

• ( u + x, u + y )

• ( ux, uy )

• ( u - x, u - y )

• ( ^u/_x, ^u/y )

Multiple Choice

A Dilation with a Scale Factor of .25. Which algebraic expression represents this Dilation.

• ( .25x , .25y )

• (y + .25, x + .25 )

• ( .25 - x, .25 + y )

• ( ^.25/_x, ^.25/y )

Multiple Choice

A Dilation with a Scale Factor of 4. Which algebraic expression represents this Dilation.

• ( 4 + x, 4 + y )

• (4x, 4y)

• ( x - 4_, y - 4 )

• ( ⁴/_x, ⁴/_y )

Multiple Choice

A Dilation with a Scale Factor of ¹/₂. Which algebraic expression represents this Dilation.

• ( ¹/₂ + x, ¹/₂ + y )

• (¹/₂ + x_, ¹/₂ - y)

• (¹/₂ + x_, ¹/₂ + y)

• ( ^x/₂, ^y/₂ )

Multiple Choice

A Dilation with a Scale Factor of ⁸/₃. Which algebraic expression represents this Dilation.

• 
  

  $\left(\frac{8}{3}x,\frac{8}{3}y\right)$

• ( ⁸/₃ + x, ⁸/₃ + y )

• ( x - ⁸/₃, y -⁸/₃ )

• (^3x/_8, ^3y/₈)

Multiple Choice

A Dilation with a Scale Factor of .75. Which algebraic expression represents this Dilation.

• ( x - .75, y - .75 )

• ( ^.75/_x, ^.75/_y )

• ( x + .75, y + .75 )

• ( .75x_, .75y)

Multiple Choice

A Dilation with a Scale Factor of 1.5. Which algebraic expression represents this Dilation.

• ( x - 1.5, y - 1.5 )

• ( ^1.5/_x, ^1.5/_y )

• ( 1.5x, 1.5y )

• ( 1.5 + ¹/_x, 1.5 + ¹/_y)

Multiple Choice

A Dilation with a Scale Factor of 2. Which algebraic expression represents this Dilation.

• ( 2 + x, 2 + y )

• ( 2x, 2y )

• ( ²/_x, ²/_y )

• ( 2 + ¹/_x, 2 + ¹/_x)

Multiple Choice

Which algebraic expression could be the rule for a reduction?

• (x, y)→(2x, 2y)
• (x, y)→(5/2 x, 5/2 y)
• (x, y) →(0.5x, 0.5y)
• (x, y)→(5x, 5y)

Multiple Choice

The algebraic expression for an enlargement by a scale factor of 3 is...

• (x, y)→(3x, 3y)
• (x, y)→(3, 3)
• (3x, y)→(x, y)
• (x, y)→(3x)

Multiple Choice

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

Multiple Choice

Similar figures have the same ______ but different ______. 

• measure; shapes
• sizes; shapes
• value; measures
• shape; sizes

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of 3?

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of .4?

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of 1.5?

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of 1?

• Enlargement

• Reduction

• No Change

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of .25?

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of ⁸/₃?

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of 3.

• Enlargement

• Reduction

Multiple Choice

What kind of Dilation will take place when given the Scale Factor of ¹/_2.

• Enlargement

• Reduction