1. mU = 122
mW = 119
x = 8

2. Section 8.3 Similar Polygons
Chapter 8 Similarity
Section 8.3
Similar Polygons

3. B  Q, A  P, C  R, D  S
Definition Similar Polygons
B  Q, A  P, C  R, D  S
Trapezoid ABCD ~ Trapezoid PQRS

4. Corresponding components must line up in the similarity statement
J  R
K  S
L  T

5. Corresponding components must line up in the similarity statement
T  M
U  N
V  O

6. Corresponding components must line up in the similarity statement
W  D
X  E
Y  F
Z  G

7. No, Corresponding Angles must be congruent

8. L  T
M  P
N  O
LMN ~ TPO Definition Similar Polygons

9. Definition: Scale Factor
The ratio of any two corresponding sides of similar polygons.
Same no matter what two sides are chosen
Scale Factor

10. Scale Factor

11. Scale Factor 5
NO = 4

12. U  O
mO + mN = 180
mO = 180
mO = 55
mU = 55

13. p = MN + NO + OL + LM
p =
P = 12.8 4
2.4 4

14. The Perimeter Ratio is the same as the scale factor
Theorem
The Perimeter Ratio is the same as the scale factor
Scale Factor = Perimeter Ratio

15. 4x = 36
x = 9
4y = 48
y = 12

16. y = 16
Opposites sides of a parallelogram are congruent
16x = 216

17. Ratio of the perimeters = the ratio of the sides
5x = 144
The perimeter of ABC =

18. HW #12 Pg