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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: all corresponding angles are congruent and the sides are proportional.

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

Are the figures named correctly? corresponding sides.

yes

Are the figures named correctly? corresponding sides.

yes

Are the figures named correctly? corresponding sides.

ABC ~EFG

no

C

F

E

G

A

B

Are the figures named correctly? corresponding sides.

yes

SRQP ~ JKLM

Are the figures named correctly? corresponding sides.

no

ABCD ~ EHGF

Scale factor corresponding sides.

• 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

What is the scale factor of QRST to ZWXY ? similarity statement.

Not similar

Page 376 similarity statement.

• # 3 - 8

Use the scale factor to find the length of a side. similarity statement.

Cross multiply

3(20) = 4x

60 = 4x

15 = x

Find x similarity statement.

6x = 4(12)

6x = 48

x = 8

Find x similarity statement.

x = 18

Find x similarity statement.

x = 24

Find y similarity statement.

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

Worksheet and the perimeter.