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Published byHailey Rankin Modified over 4 years ago

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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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3.7 Angle Side Theorems. Theorem 20: Isosceles Triangle Theorem (ITT) If 2 sides of a triangle are congruent, then the angles opposite the sides are congruent.

3.7 Angle Side Theorems. Theorem 20: Isosceles Triangle Theorem (ITT) If 2 sides of a triangle are congruent, then the angles opposite the sides are congruent.

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