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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
Warm-Up
Proportion Practice
“What do you call it when you cut up your credit cards?”
Be prepared to show your work on the board.
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?
CONGRUENT
Identical in shape and size
Identical in shape, not necessarily size
SIMILAR
Definition of Similar:
Two polygons are similar if:
corresponding angles are congruent and
corresponding sides are proportional.
Symbol: ~
Example
Quad CORN ~ Quad PEAS
Which angles are congruent?
Which sides are proportional?
Dilation
When a figure is enlarged or reduced
Dilation Similarity Conjecture
If one polygon is a dilated image of another polygon, then the polygons are similar.
32
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?
SKIP FOR NOW
AA Similarity Conjecture
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
If not, write “can’t be proven”.
If yes, write a similarity statement and solve for the missing pieces.
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.
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.
At the Beginning of Your Notes…
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!