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Published byPaul Horn Modified over 8 years ago
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List the Congruent sides and angles:
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Unit Essential Question: How do you use given information to construct a proof involving congruent triangles?
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Essential Question: When are triangles congruent?
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Congruent Figures have the same size & shape. They can be transformed so that one will fit EXACTLY on the other: Congruent figures have congruent corresponding parts.
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If these triangles are congruent, then list the congruent corresponding parts: Two triangles are congruent if all three pairs of sides and all three pairs of angles are congruent.
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Statements Reasons
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What does it mean to be SUFFICIENT? Would having 3 pairs of congruent Angles be sufficient to GUARANTEE two triangles are congruent? Why or Why not?
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Essential Question: What are the sufficient conditions to prove triangles are congruent?
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INCLUDED?!?!
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Essential Question: What are the sufficient conditions to prove triangles are congruent?
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Included side!!!
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Essential Question: How can you use congruent triangles to prove corresponding parts are congruent?
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Once you know that a pair of triangles are congruent, you can safely concluded that ALL of the corresponding parts of these triangles must also be congruent: Corresponding Parts of Congruent Triangles are Congruent, or CPCTC.
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Essential Questions: What does CPCTC reveal about Isosceles & Equilateral triangles?
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Base Legs Vertex Angle Base Angles
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What is the definition of congruent triangles? What are sufficient conditions to prove triangles congruent? How do you use CPCTC?
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Essential Question: What are the sufficient conditions to prove triangles are congruent?
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Hypotenuse Legs
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Why isn’t it covered by SAS? Need: Two Right Triangles Congruent Hypotenuses Congruent Legs
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Essential Question: How can you use congruent triangles to prove corresponding parts are congruent?
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