Warm Up 01.30.12Week 5

Section 8.3 Day 1

I will identify similar polygons.

Similar Polygons

Ex 1

Corresponding angles are congruent and the lengths of corresponding sides are proportional.

Statement of Proportionality

Ex 2

∼ Symbol for Similar

Similarity Statement

Polygons - RatiosIf two polygons are similar, then the ratio of their

perimeters is equal to the ratios of their corresponding side lengths.

Theorem 8.1

K

L

MN

P

R

Q

S

= = = =

KLMN PQRS∼If Then,

perimeters sides

JKLM QPRS. Find the value of ∼ z.Ex 3

=

15z = 6( 10 )

15z = 60

z = 4

Scale Factor

The ratio of the lengths of the corresponding sides.

Scale factor of the pool to the patio is: 48ft : 32ft

Scale factor = 3 : 2

Ex 4

Statement of Proportionality TUVW ∼ ABCD

Scale Factor 5 : 3

Length of TW

m∠TUV

30 = 3x

10 = x

180 - 70

110

Textbook page 461, 10 - 44 Evens and 45 – 50 all.Assignment:

Do: Find the value of x.