Download Geometry Section 8.3 Similar Polygons 1. List all the pairs of

Geometry Section 8.3
Similar Polygons
Vocabulary
Similar Polygons ­ Two polygons such that their corresponding angles are congruent and the lengths of corresponding sides
are proportional.
D
A
Similarity Statement ­ A statement that matches corresponding angles of similar polygons. ABCD ~ EFGH
E
H
F
G
C
B
Statement of Proportionality ­ A statement that shows
corresponding sides of two
polygons to be proportional.
AB
BC = CD DA
=
=
EF
FG GH HE
Scale Factor ­ The ratio of the lengths of two corresponding sides of similar polygons
List all the pairs of corresponding angles and write a statement of proportionality.
1. J
2.
K
P
F
Q
E
S
M
L
____________________________________
G
Q
R
P
R
I
H
T
S
______________________________________
1
Decide if the polygons are similar. If they are similar write a similarity statement.
3.
A
4.
D
5
3
F
10
6
E
4
H
4
L
03
6
9
M
I
6
K
2
3
150
J
B
C
12
G
2
N
8
ABC ~ DEF
Find the value of x.
6.
PQRS ~ WXYZ
5.
Q
L
R
X
P
12
KLM ~ PQR
Y
W
x
Q
x
20
5
4
3
8
Z
S
P
K
R
M
Theorem 8.1
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
7. If the scale factor of two polygons is 9:5 and the smaller figure has a perimeter of 35 what is the perimeter of the larger figure.
_______ Homework: Page; 475
Problem; 1­18, 29­42
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