warm up
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Week 5. Warm Up. 01.30.12. Similar Polygons. Corresponding angles are congruent and the lengths of corresponding sides are proportional. Ex 1. Statement of Proportionality. Ex 2. Similarity Statement. ∼. Symbol for Similar. Theorem 8.1. K. P. L. Q. R. N. M. S. If. - PowerPoint PPT PresentationTRANSCRIPT
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.