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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: ~.

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Similar polygons
Similar Polygons

  • Similar Polygons: all corresponding angles are congruent and the sides are proportional.


When 2 polygons are similar
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
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 sides1
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 sides2
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 sides3
Name the corresponding angles, then the ratios of the corresponding sides.

ŸP,ŸZ

ŸQ,ŸW

ŸR,ŸX

ŸS,ŸY


Are the figures named correctly
Are the figures named correctly? corresponding sides.

yes


Are the figures named correctly1
Are the figures named correctly? corresponding sides.

yes


Are the figures named correctly2
Are the figures named correctly? corresponding sides.

ABC ~EFG

no

C

F

E

G

A

B


Are the figures named correctly3
Are the figures named correctly? corresponding sides.

yes

SRQP ~ JKLM


Are the figures named correctly4
Are the figures named correctly? corresponding sides.

no

ABCD ~ EHGF


Scale factor
Scale factor corresponding sides.

  • The scale factor is the simplified ratio of corresponding sides of a similar polygon


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

Not similar


Page 376
Page 376 similarity statement.

  • # 3 - 8


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

Cross multiply

3(20) = 4x

60 = 4x

15 = x


Find x
Find x similarity statement.

6x = 4(12)

6x = 48

x = 8


Find x1
Find x similarity statement.

x = 18


Find x2
Find x similarity statement.

x = 24


Find y
Find y similarity statement.

y= 12


Find the scale factor then find the lengths of the sides and the perimeter
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 perimeter1
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
Worksheet and the perimeter.