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List the Congruent sides and angles: Unit Essential Question: How do you use given information to construct a proof involving congruent triangles? Essential Question: When are triangles congruent? 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. 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. Statements Reasons 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? Essential Question: What are the sufficient conditions to prove triangles are congruent? INCLUDED?!?! Essential Question: What are the sufficient conditions to prove triangles are congruent? Included side!!! Essential Question: How can you use congruent triangles to prove corresponding parts are congruent? 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. Essential Questions: What does CPCTC reveal about Isosceles & Equilateral triangles? Base Legs Vertex Angle Base Angles What is the definition of congruent triangles? What are sufficient conditions to prove triangles congruent? How do you use CPCTC? Essential Question: What are the sufficient conditions to prove triangles are congruent? Hypotenuse Legs Why isn’t it covered by SAS? Need: Two Right Triangles Congruent Hypotenuses Congruent Legs Essential Question: How can you use congruent triangles to prove corresponding parts are congruent?