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100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 Friday, October 7, 2016 Geometry, Period 1 Lesson Overview: • Warm Up Exercise • AgileMind Topic 9: Congruent Triangle Postulates > Corresponding Parts of Congruent Triangles 1 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 Warm Up R, P, Q, S, T They are rigid transformations of triangle ABC Their angles have the same measure 2 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 Write a formal definition of congruent triangles. Two triangles are congruent if and only if each pair of corresponding sides and each pair of corresponding angles is congruent 3 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 How many pairs of congruent angles and sides must you show in order to prove two triangles congruent by the definition of congruent triangles? 3 pairs of congruent sides 3 pairs of congruent angles ...but we can find a combination of less than 6 items to show congruence ** 4 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 5 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 NO NO NO NO NO 6 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 7 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 8 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 9 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 ASS theorem doesn't work; it does not guarantee a congruence 10 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 if DO is congruent to PJ, then we have congruent triangles by SSS if <DJO is congruent to <POJ then we have congruent triangles by SAS 11 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 9. If two angles of one triangle are congruent to two angles of another triangle, what must be true about the third angles of the triangles? How do you know? The third angles are congruent to each other and this comes to us from the Triangle Sum Theorem. If the two angles of each triangle are x and y, then the third angle should measure 180-(x+y). 12 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 13 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 14 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 15 100716 AMT9 Day1 Id CorrParts of CongTri REVISED.notebook October 07, 2016 Homework: AMT9 Day1 Corresponding Parts of Congruent Triangles Packet AMT9 Quiz on Wednesday 10.12.16 16