Miss C's Weekly Forecast - My Math...
Transcript of Miss C's Weekly Forecast - My Math...
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)
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Homework:1. Lesson 31 NOTES2. Lesson 31 PRACTICE3. Lesson 32
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A La Carte REVIEW:2 Appetizers
4 Entrees2 Desserts
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SIMILAR TRIANGLES
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Lesson 31Similar Figures
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What does similar mean?
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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!
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~B
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is the symbol for Similar
Pentagon ABCDE ~ Pentagon FGHIJ ∆CAT ~ ∆DOG
Trapezoid LMNO ~ Trapezoid PQRS Quad. MATH ~ Quad. PROB
Write vertices in corresponding order.
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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:
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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
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The ratio of corresponding linear measurements (side lengths) of two similar figures.
SCALEFACTOR
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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.
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Similar PolygonsExamples
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Quad MNOP ~ M'N'O'P'
What is the scale factor?
x = __________
y = __________
z = __________
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The two triangles shown are similar.
x = __________
y = __________
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The two quadrilaterals shown are similar.
x = __________
y = __________
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Homework:1. Lesson 31 NOTES2. Lesson 31 PRACTICE3. Lesson 32