Enlargement or Reduction

Presentation

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Mathematics

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8th Grade

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Practice Problem

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Medium

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CCSS

8.G.A.3, HSG.CO.A.2, 8.G.A.2

Standards-aligned

Ms. Calico

Used 15+ times

FREE Resource

3 Slides • 21 Questions

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

Enlargement or Reduction

Remember Dilations = Multiplication

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