Use Similar Polygons
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Transcript of Use Similar Polygons
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Use Similar Polygons
6.3
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Similar Polygons• Similar Polygons: all corresponding angles are
congruent and the sides are proportional.
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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.
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Name the corresponding angles, then the ratios of the corresponding sides.
ŸA,ŸDŸB,ŸEŸC,ŸF
DEAB
EFBC
DFAC
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Name the corresponding angles, then the ratios of the corresponding sides.
ŸR,ŸWŸS,ŸVŸT,ŸU
WVRS
STVU
WURT
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Name the corresponding angles, then the ratios of the corresponding sides.
ŸC,ŸMŸD,ŸJŸE,ŸK
MJCD
JKDE
KLEF
ŸF,ŸL
MLCF
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Name the corresponding angles, then the ratios of the corresponding sides.
ŸP,ŸZŸQ,ŸWŸR,ŸX
ZWPQ
WXQR
XYRS
ŸS,ŸY
ZYPS
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Are the figures named correctly?
yes
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Are the figures named correctly?
yes
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Are the figures named correctly?
no
A B
C
E
F
G
ABC ~EFG
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Are the figures named correctly?
yes
SRQP ~ JKLM
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Are the figures named correctly?
no
ABCD ~ EHGF
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Scale factor
• The scale factor is the simplified ratio of corresponding sides of a similar polygon
32
64
32
96
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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
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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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What is the scale factor of ZWXY to FJHG ?
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What is the scale factor of QRST to ABCD?
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What is the scale factor of QRST to ZWXY ?
Not similar
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• # 3 - 8
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Use the scale factor to find the length of a side.
2043
43
129
x
rscalefactoNMED
Cross multiply3(20) = 4x
60 = 4x15 = x
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Find x
x4
126
6x = 4(12)6x = 48x = 8
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Find x
x = 18
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Find x
x = 24
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Find y
y= 12
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Find the scale factor, then find the lengths of the sides, and the perimeter.
factorscale43
129
x15
43
y21
43
x
y
3x = 4(15)3x = 60x = 20
3y = 4(21)3y = 84y = 28
P= 60
P= 45
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Find the scale factor, then find the lengths of the sides, and the perimeter.
factorscale53
3521
2553 x
205
3 y
x
y
3(25) = 5x75 = 5x15 = x
5y = 3(20)5y = 60y = 12
P= 100 P= 60
z
2053 z
5z = 3(20)5z = 60z = 12
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Worksheet