Similar Polygons Learning Target: I can use ratios and proportions to determine if two polygons are...
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Similar Polygons Learning Target: I can use ratios and proportions to determine if two polygons are similar and to find unknown side lengths.
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Transcript of Similar Polygons Learning Target: I can use ratios and proportions to determine if two polygons are...
Similar Polygons
Learning Target: I can use ratios and proportions to determine if two polygons are similar and to find unknown side lengths.
Properties of Similarity
Two polygons are similar if1. corresponding angles are congruent 2. corresponding sides are proportional
The symbol for similarity is ~
ABCD~EFGH. 1. m<E=____
2. AB = AD EF ____
Are corresponding angles ≅ ?
Are corresponding sides proportional?
B
A
C
D
F
E
G
H
53
127
m<A
EH
yes
yes
Similar Ratio - the ratio of the lengths of corresponding sides
A
B
C
D
E
F
15
18
12
2016
24
Are the corresponding sides proportional?
AB/FE=15/20=.75BC/ED=12/16=.75AC/FD=18/24=.75
yes
The polygons are similar. Find the value of the variables.
1. 2.
3. 4.
6
5
x
3.3 5
3
8
x
x
101.5
4
x
15
6
9
x=2.75x=4.8
x=3.75
x=10
10
B
A
C14
12
Are the polygons similar? If they are, write a similarity statement, and give the similarity ratio.
6 5
7
X
Z Y
AB/XY=10/5=2AC/XZ=12/6=2BC/YZ=14/7=2
Triangle ABC~XYZ with similarity ratio 2:1
