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Similar Figures April 06, 2015
Weekly ForecastMiss C's
Monday Tuesday Wednesday Thursday Friday
Break Break Break Break Break
Lesson 32 (Dilations)
Unit 7 REVIEW
6th/7th Grade REVIEW
Lesson 31(Similar Figures)
Lesson 33(Similar Triangles)
Lesson 34(Geometric Mean)
Lesson 35(Proportionality)
Similar Figures April 06, 2015
Homework:1. Lesson 31 NOTES2. Lesson 31 PRACTICE3. Lesson 32
Similar Figures April 06, 2015
A La Carte REVIEW:2 Appetizers
4 Entrees2 Desserts
Similar Figures April 06, 2015
SIMILAR TRIANGLES
Similar Figures April 06, 2015
Lesson 31Similar Figures
Similar Figures April 06, 2015
What does similar mean?
Similar Figures April 06, 2015
SIMILAR FIGURES NOTES
Similar Figures: two figures with the same shape, but different sizes.
They look “similar” but one is bigger than the other.
examples: nested dolls, measuring cups, shrunken sweater and shape of original sweater!
Similar Figures April 06, 2015
~B
C
DE
F H
IJ
A
G
L
M N
O
P
Q R
S
C
A
T
D
O
G
M
A
T
H
P
R
O
B
is the symbol for Similar
Pentagon ABCDE ~ Pentagon FGHIJ ∆CAT ~ ∆DOG
Trapezoid LMNO ~ Trapezoid PQRS Quad. MATH ~ Quad. PROB
Write vertices in corresponding order.
Similar Figures April 06, 2015
Figures with the same shape, but not necessarily the same size.NOTATION: ~
Two polygons are similar if…1. corresponding angles are ≅2. corresponding sides are in proportion
SIMILAR POLYGONS
Angles: Sides:
Similar Figures April 06, 2015
A statement that 3 or more ratios are equal.
(You can show that the side lengths of similar figures are proportional using an extended proportion.)
EXTENDED PROPORTION
Similar Figures April 06, 2015
The ratio of corresponding linear measurements (side lengths) of two similar figures.
SCALEFACTOR
Similar Figures April 06, 2015
The pentagons shown are similar.
What is the scale factor?
List the corresponding congruent angles.
Write an extended proportion to show that the side lengths are proportional.
Similar Figures April 06, 2015
Similar PolygonsExamples
Similar Figures April 06, 2015
Quad MNOP ~ M'N'O'P'
What is the scale factor?
x = __________
y = __________
z = __________
Similar Figures April 06, 2015
The two triangles shown are similar.
x = __________
y = __________
Similar Figures April 06, 2015
The two quadrilaterals shown are similar.
x = __________
y = __________
Similar Figures April 06, 2015
Homework:1. Lesson 31 NOTES2. Lesson 31 PRACTICE3. Lesson 32
