Advanced Geometry 3.3. Objective To write proofs involving congruent triangles and CPCTC.

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Presentation transcript:

Advanced Geometry 3.3

Objective To write proofs involving congruent triangles and CPCTC.

CPCTC Corresponding Parts of Congruent Triangles are Congruent

Circles Review What is the formula for the area of a circle? What is the formula for the circumference of a circle? π≈ r

All radii of a circle are congruent.

Proof Tips FIRST prove two triangles congruent using SSS, SAS, ASA, or AAS. In addition to using the reflexive property, perpendicular segments that form right angles and bisected angles/segments that are congruent, look for radii (all radii of a circle are congruent) The segments/angles you are trying to prove congruent will be parts of the triangles you prove congruent. Use CPCTC after you prove the triangles congruent.

Given: Circle P Prove: StatementsReasons 1. Circle P1. Given 2.2. All radii of a circle are congruent 3.3. Vertical angles are congruent 4.4. SAS 5.5. CPCTC A DC B P

Another Example Read Sample Problem 2 on page 126

Next Power point: 3.4 Beyond CPCTC