discovering geometry chapter 11 · 2014. 1. 8. · discovering geometry chapter 11 lesson 1: 11.1...
TRANSCRIPT
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Discovering Geometry Chapter 11
Lesson 1: 11.1
Lesson 2: 11.2
Lesson 3: 11.3
Lesson 4: 11.5
Lesson 5: 11.6
Lesson 6: 11.7
Lesson 7: REVIEW
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Warm-Up
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Proportion Practice
“What do you call it when you cut up your credit cards?”
Be prepared to show your work on the board.
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Chapter 11: Similarity
In this section we will answer…
What does it mean for polygons to be similar?
How can I use similarity to help me solve problems?
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CONGRUENT
Identical in shape and size
Identical in shape, not necessarily size
SIMILAR
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Definition of Similar:
Two polygons are similar if:
corresponding angles are congruent and
corresponding sides are proportional.
Symbol: ~
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Example
Quad CORN ~ Quad PEAS
Which angles are congruent?
Which sides are proportional?
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Dilation
When a figure is enlarged or reduced
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Dilation Similarity Conjecture
If one polygon is a dilated image of another polygon, then the polygons are similar.
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In this section we will answer…
Do I have to prove ALL corresponding angles congruent and ALL corresponding sides proportional to prove similarity?
Which shortcuts actually work everytime?
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SKIP FOR NOW
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AA Similarity Conjecture
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
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If not, write “can’t be proven”.
If yes, write a similarity statement and solve for the missing pieces.
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SSS Similarity Conjecture
If the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are similar.
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SAS Similarity Conjecture
If two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the two triangles are similar.
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At the Beginning of Your Notes…
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Almost Finished…
Clear Your Calculator and Turn It Off
2nd + 7 1 2 then 2nd On
Take out your agenda – copy down due dates
Quizzes
Tests
Homework
11.1 Similar Polygons
11.2 Similar Triangles
Do NOT pack up until you are told to do so!