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Module 3 Lesson 10 AngleAngle Continued
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Thursday, December 10, 2015
know an informal proof of the angle‐angle (AA) criterion for similar triangles.
present informal arguments as to whether or not triangles are similar based on the AA criterion.
AND
Students
Module 3 Lesson 10 AngleAngle Continued
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Module 3 Lesson 10 AngleAngle Continued
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Homework.
Module 3 Lesson 10 AngleAngle Continued
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Module 3 Lesson 10 AngleAngle Continued
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Our goal today is to show that we can say any two triangles with equal angles are similar.
We call this the Angle‐Angle (AA) criterion for similarity.
Angle‐Angle (AA) Theorem: Two triangles with two pairs of equal angles are similar.
Vocab!
Module 3 Lesson 10 AngleAngle Continued
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Notice that we only use AA instead of AAA; that is, we only need to show that two of the three angles are equal in measure. Why do you think that is so?
Module 3 Lesson 10 AngleAngle Continued
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Go to page S.51 in your Eureka Books.
Module 3 Lesson 10 AngleAngle Continued
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Draw a pair of triangles with two pairs of equal angles. Then, measure the lengths of the sides, and verify that the lengths of their corresponding sides are equal in ratio.
FOLLOW ALONG VERY CLOSELY!!!
Module 3 Lesson 10 AngleAngle Continued
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Draw a new pair of triangles with two pairs of equal angles. Then, measure the lengths of the sides, and verify that the lengths of their corresponding sides are equal in ratio.
Module 3 Lesson 10 AngleAngle Continued
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Why are two triangles that have two congruent corresponding angles similar?
Module 3 Lesson 10 AngleAngle Continued
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Are the triangles shown below similar? Present an informal argument as to why they are or are not similar.
Module 3 Lesson 10 AngleAngle Continued
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Are the triangles shown below similar? Present an informal argument as to why they are or are not similar.
Module 3 Lesson 10 AngleAngle Continued
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Are the triangles shown below similar? Present an informal argument as to why they are or are not similar.
Module 3 Lesson 10 AngleAngle Continued
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Homework.Lesson 10.Problem Set.Page
Module 3 Lesson 10 AngleAngle Continued
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