Scale Factor effects on Length and Perimeter

The ratio of the lengths of corresponding sides in

similar figures (same shape but different size) is

called scale factor.  It may be expressed as a

fraction, decimal, percent, or whole number. 

 

The scale factor from Fig A to Fig B is 3/6  = ½.

The scale factor from Fig B to Fig A is 6/3 = 2

         6 cm                 3 cm
Fig A
Fig B

 

A rectangle has sides of 3 cm and 5 cm.  A similar

rectangle is dilated with a scale factor of ½.  Find its

length and width.

6 cm by 10 cm

2 cm by 3 cm

1.5 cm by 2.5 cm

2 cm by  2.5 cm

 

A rectangle has sides of 3 cm and 5 cm.  A similar

rectangle is dilated by a scale factor of 2.  Find its

dimensions.

6 cm by 10 cm

2 cm by 3 cm

1.5 cm by 2.5 cm

2 cm by  2.5 cm

If we know one shape's perimeter and the scale factor,

we can find the other shape's perimeter by multiplying

the original perimeter by the scale factor.  If the first

shape has a perimeter of 16 cm and is dilated by a

scale factor of ½, the second shape's perimeter is...

Perimeter = 16

80 cm

5

32 cm

3

8 cm

2.5

80 cm

1.5

If the perimeter is of a shape is 16 cm and is

dilated with scale factor of 2, the perimeter

of the similar shape is...

8 cm

5

32 cm

3

80 cm

3200 cm

a copy

a reduction 

If the scale factor is greater than 100%, 

then the resulting drawing is:

an enlargement

If the scale factor is less than 100%, then the resulting

drawing is:

a reduction

a copy

an enlargement

The perimeter of a triangle is 9 cm.  The

triangle is dilated by a scale factor of 2. 

Find the perimeter of the new triangle.

cm

Figure A is dilated creating Fig B. 

 

What is the scale factor from Fig A to Fig B?

 

What is the perimeter of Fig A?

 

What is the perimeter of Fig B?

Fig A
3
3

Fig B

9
square units
units
9

A rectangle is dilated with a scale factor of 3. 

Which statement correctly describes the perimeter

of the new figure?

 The new perimeter is 1/9 times the original

 The new perimeter is 1/3 times the original

 The new perimeter is 3 times the original

 The new perimeter is 9 times the original

A rectangle is dilated with a scale factor of ⅓. 

Which statement correctly describes the perimeter

of the new figure?

 The new perimeter is 1/9 times the original

 The new perimeter is 1/3 times the original

 The new perimeter is 3 times the original

 The new perimeter is 9 times the original

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