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Chapter 4 Midterm Review By MD Squared (Matthew Tsai/Fu and David Ellis/Sang)
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Triangle Classification by Angle Obtuse- Acute- Right- Equiangular-
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Triangle Classification by Side Scalene- Isosceles- Equilateral-
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Angle Sum Thm
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Exterior Angles Thm
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Congruent Triangles (CPCTC)
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SSS Postulate
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SAS Postulate
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ASA Postulate
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AAS Thm
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Parts of an Isosceles Triangle Base Angles Vertex Angle (Isosceles Triangle Thm and Converse)
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Coordinate Proofs Use figures in the coordinate plane and use algebra to prove geometric concepts. Placing Figures on the Coordinate Plane 1. Use the origin as a vertex or center of the figure 2. Place at least on side of a polygon on an axis 3. Keep the figure within the first quadrant if possible 4. Use coordinate that make computations simple Writing Coordinate Proofs 1. Place the figure on the coordinate plane 2. Label the vertices and use variables for unknown coordinates 3. Write the given and what you need to prove 4. Prove using a formula
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ASS DOES NOT EXIST Postulate
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Carl Friedrich Gauss “Prince of Mathematics” He proved that every number greater than one is either prime or a product of prime numbers-and that number cannot be created through any other combination of prime numbers Made a 17 sided regular polygon
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Triangular numbers (n)(n+1)/2
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Question 1 What Post/ Thm is needed to prove these triangles congruent? ASA Post.
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Question 2 What Post/ Thm is needed to prove these triangles congruent? SAS Post.
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Question 3 What Post/ Thm is needed to prove these triangles congruent? AAS Thm.
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Question 4 What Post/ Thm is needed to prove these triangles congruent? SSS Post.
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Question 5 What Post/ Thm is needed to prove these triangles congruent? SAS Post.
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Question 6 What Post/ Thm is needed to prove these triangles congruent? Not Possible
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Question 7 What Post/ Thm is needed to prove these triangles congruent? SAS Post
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Question 8 What Post/ Thm is needed to prove these triangles congruent? AAS Thm
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Question 9 What Post/ Thm is needed to prove these triangles congruent? Not Possible
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Question 10 What Post/ Thm is needed to prove these triangles congruent? ASA Post.
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