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Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 WarmUp Big Idea: What is the minimal amount of information needed to show triangles are similar? You will be determining if triangles are similar You will be evaluating missing sides You will be using similar triangles in realworld applications 1 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 Agenda: WarmUp HW #6.3 Questions + HW Quiz 6.4 AA Similarity Examples + Practice Upcoming Dates: Enlargement project is due Friday!!!! We will be working on a 6.16.4 Review assignment on Friday What does this mean???? 2 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 3 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 What is the least amount of information that I need to show that triangles are similar? - You will determine if triangles are similar - You will use similar triangles to find the height of an object 4 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 Let's make 2 different triangles with the same 2 angles. Questions: - Why must the third pair of angles in each triangle be congruent? - What do you notice about the resulting triangles? - Are we doing a proof or looking for a pattern? 5 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 Can you find the measure of the third angles in each triangle? What kind of triangles are these? How many right triangles are in this diagram? 6 Geometry 6.4 AngleAngle Similarity Notes What other pairs of angles must be congruent? How do you know? February 17, 2016 No angles are marked congruent in this diagram, but what angles can we conclude are congruent? Why? 7 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 -Where are the similar triangles? -Why do we know that they are similar? 8 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 p.112 9 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 p. 112 in PW 10 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 p.113 in PW 11 Geometry 6.4 AngleAngle Similarity Notes February 17, 2016 12 Geometry 6.4 AngleAngle Similarity Notes 2/17 #6.4 (PW)p.112113: 125 February 17, 2016 AngleAngle Similarity For the remainder of class: Work on homework or Work on project PROJECT IS DUE ON FRIDAY!!! 13