Use Similar Polygons

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# Use Similar Polygons - PowerPoint PPT Presentation

Use Similar Polygons. 6.3. Similar Polygons. Similar Polygons: all corresponding angles are congruent and the sides are proportional. When 2 polygons are similar. The symbol used when 2 figures are similar is: ~.

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### Use Similar Polygons

6.3

Similar Polygons
• Similar Polygons: all corresponding angles are congruent and the sides are proportional.
When 2 polygons are similar

The symbol used when 2 figures are similar is: ~

When you know 2 figures are similar you must name the corresponding angles in the same order.

Name the corresponding angles, then the ratios of the corresponding sides.

ŸA,ŸD

ŸB,ŸE

ŸC,ŸF

Name the corresponding angles, then the ratios of the corresponding sides.

ŸR,ŸW

ŸS,ŸV

ŸT,ŸU

Name the corresponding angles, then the ratios of the corresponding sides.

ŸC,ŸM

ŸD,ŸJ

ŸE,ŸK

ŸF,ŸL

Name the corresponding angles, then the ratios of the corresponding sides.

ŸP,ŸZ

ŸQ,ŸW

ŸR,ŸX

ŸS,ŸY

Scale factor
• The scale factor is the simplified ratio of corresponding sides of a similar polygon
Determine whether the polygons are similar…then state a similarity statement, and find the scale factor.

yes

„ABC~„FDE

„ACB~„FED

„BCA~„DEF

„BAC~„DFE

„CAB~„EFD

„CBA~„EDF

Determine whether the polygons are similar…then state a similarity statement.

yes

„ABC~„FDE

„ACB~„FED

„BCA~„DEF

„BAC~„DFE

„CAB~„EFD

„CBA~„EDF

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• # 3 - 8
Use the scale factor to find the length of a side.

Cross multiply

3(20) = 4x

60 = 4x

15 = x

Find x

6x = 4(12)

6x = 48

x = 8

Find x

x = 18

Find x

x = 24

Find y

y= 12

Find the scale factor, then find the lengths of the sides, and the perimeter.

P= 45

x

P= 60

y

3x = 4(15)

3y = 4(21)

3x = 60

3y = 84

x = 20

y = 28

Find the scale factor, then find the lengths of the sides, and the perimeter.

x

P= 100

P= 60

y

z

5y = 3(20)

3(25) = 5x

5z = 3(20)

5y = 60

5z = 60

75 = 5x

y = 12

z = 12

15 = x