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Geometry –Triangles: G 5.a; G 5.1, G 5.b; G 5.4; G 6.1,2,3,4 To assess prior knowledge: have students make circle maps to define the following: –Scalene –Isoceles –Right –Equilateral Isoceles triangle

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Congruent Triangles Counter Example Examples DefineWays to Prove CPCTC AAS SSS SAS AAA – similar but NOT congruent No SSA A set of points having the same size and shape 1:1 correspondence of equality Identical

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Similar Triangles Counter Example Examples DefineWays to Prove CPCTC AAS SSS SAS No SSA A set of points having the same shape 1:1 correspondence of Proportionality of sides AAA

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Ways to Prove Congruent Triangles SSS Item JY = CX YB = CH JB = HX SAS Item NM = OL <NMO = <MOL MO = OM ASA Item 3m = 3m 30° = 30 ° Vertical Angles = AAS Item <<Q = <S <P = <R PR = RP Can use cards with figures printed on them for kids to sort.

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Congruent Triangles Combined Figures Item. Separated Triangles.. Given <MLN = <LNO LM = NO QR = OQ PQ = PQ PT = RS QT = QS Deductions LN = NL 90° <PQR = <PQO <RQS = <PQT Vertical < Congruency Statement MLN = ONL SAS PQR = PQO SAS SSA inconclusive Can use as worksheet with Ss filling in blanks for a variety of figures

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UW = WU <UTW = <UVW <UWT = <UWV = 90° <UTV = <UVT TUV If Then <AAS Congruence If Then

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Similar Sizes can differAA Tilde alone ~ Corresponding sides are proportional ASASAS Double Bubble – comparison – similarities & differences Congruent Correspo nding sides = Correspo nding angles = AAS SSS Equal & Tilde

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Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

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