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Transcript
congruent triangle shortcuts 1415 9th.notebook November 18, 2014 Geo Opener 111814 Learning Targets Congruent triangle shortcuts Pass up graded HW (from Thursday) Get out triangle constructions (from Friday) Start on the opener... NOW!!! Write a congruence statement for these images (for example ) DLMN D_____ DJPL D_____ What is the minimum required information to state that two triangles are congruent? F C A One Side? B E Is DABC D DDEF I G L K H Is DGHI One Angle? J DJKL congruent triangle shortcuts 1415 9th.notebook November 18, 2014 What is the minimum required information to state that two triangles are congruent? Two Sides Are these triangles congruent? One side One angle Are these triangles congruent? Two angles Are these triangles congruent? What is the minimum required information to state that two triangles are congruent? Three sides? Are these triangles congruent? Three Angles? Are these triangles congruent? congruent triangle shortcuts 1415 9th.notebook November 18, 2014 What is the minimum required information to state that two triangles are congruent? Two Angles and a Side AAS Are these triangles congruent? ASA Are these triangles congruent? What is the minimum required information to state that two triangles are congruent? Two Sides and an Angle SAS Are these triangles congruent? congruent triangle shortcuts 1415 9th.notebook November 18, 2014 Warning Language Issue What is the minimum required information to state that two triangles are congruent? Two Sides and an Angle Are these triangles congruent? Backwards SSA What is the minimum required information to state that two triangles are congruent? Two triangles can be identified as congruent with only 3 parts congruent, but only certain configurations work... congruence shortcuts NOT congruence shortcuts AngleSideAngle AngleAngleAngle AngleAngleSide SideSideAngle SideAngleSide SideSideSide congruent triangle shortcuts 1415 9th.notebook November 18, 2014 Determine if these pairs triangles are congruent, if so state the congruence and the shortcut. SSS Postulate If all the sides of one triangle are congruent to all the sides of a second triangle then the triangles are congruent J A L C B K ΔABC ≅ΔJKL b/c SSS congruent triangle shortcuts 1415 9th.notebook November 18, 2014 SAS Postulate If two sides and the included angle of one triangle, are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent J A L C K B ΔABC ≅ΔJKL b/c SAS ASA Postulate If two angles and the included side of one triangle, are congruent to two angles and the included side of a second triangle, then the two triangles are congruent J A C B L K ΔABC ≅ΔJKL b/c ASA congruent triangle shortcuts 1415 9th.notebook November 18, 2014 AAS Theorem If two angles and the nonincluded side of one triangle, are congruent to two angles and the nonincluded side of a second triangle, then the two triangles are J congruent A L C B K ΔABC ≅ΔJKL b/c AAS
