CPCTC & Circles Lesson 3.3. CPCTC: Corresponding Parts of Congruent Triangles are Congruent.

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Presentation transcript:

CPCTC & Circles Lesson 3.3

CPCTC: Corresponding Parts of Congruent Triangles are Congruent.

Given: SM  PM <SMW  <PMW Prove: SW  WP P M S W StatementReason 1.SM  PM1. Given 2.<SMW  <PMW2. Given 3.MW  MW3. Reflexive property 4.ΔSMW  ΔPMW4. SAS (1, 2, 3) 5.SW  WF5. CPCTC

Circles: By definition, every point on a circle is equal distance from its center point. The center is not an element of the circle. The circle consists of only the rim. A circle is named by its center. Circle A or A A

Given: points A,B & C lie on Circle P. PA is a radius PA, PB and PC are radii Area of a circleCircumference A = Лr 2 C = 2Лr We will usually leave in terms of pi Pi = 3.14 or 22/7 for quick calculations For accuracy, use the pi key on your calculator

Theorem 19: All radii of a circle are congruent. Given: Circle O <T comp. <MOT <S comp. <POS Prove: MO  PO R T P O K M S 1.Circle O 2.OT  OS 3.  T is comp to  MOT 4.  S is comp to  POS 5.  MOT   POS 6.  T   S 7. MOT  POS 8.MO  PO 1.Given 2.All radii of a circle are . 3.Given 4.Given 5.Vertical angles are . 6.Complements of   s are . 7.ASA (5,2,6) 8.CPCTC