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Warm up

Warm up. Given: SM Congruent PM <SMW Congruent <PMW Prove: SW Congruent WP. SM Congruent PM 1. Given <SMW Congruent <PMW 2. Given MW Congruent MW 3. Reflexive Δ SMW Congruent Δ PMW 4. SAS SW Congruent WF 5. CPCTC. WARM UP. NW = SW Given <MNS = <TSN Given <3 = <4 Given

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Warm up

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  1. Warm up Given: SM Congruent PM <SMW Congruent <PMW Prove: SW Congruent WP • SM Congruent PM 1. Given • <SMW Congruent <PMW 2. Given • MW Congruent MW 3. Reflexive • ΔSMW Congruent ΔPMW 4. SAS • SW Congruent WF 5. CPCTC

  2. WARM UP NW = SW Given <MNS = <TSN Given <3 = <4 Given <MNW = <TSW Subtraction <1 = < 2 Vertical <s are = Δ MNW = Δ TSW ASA MN = TS CPCTC

  3. M P S W 3.3 CPCTC and Circles CPCTC: Corresponding Parts of Congruent Triangles are Congruent. Matching angles and sides of respective triangles.

  4. M P S W Given: SM = PM <SMW = <PMWProve: SW = WP ~ ~ ~ • Statement Reason • SM = PM 1. Given • <SMW = <PMW 2. Given • MW = MW 3. Reflexive property • ΔSMW = ΔPMW 4. SAS (1, 2, 3) • SW = PW 5. CPCTC ~ ~ ~ ~ ~

  5. • A • 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 •

  6. Given: points A,B & C lie on Circle P.PA is a radiusPA, PB and PC are radii • Area of a circle Circumference • A = Лr2 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

  7. T 19: All radii of a circle are congruent. Given: Circle O <T comp. <MOT <S comp. <POS Prove: MO = PO T P R K M O S ~

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