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Transcript
CCGPS Geometry 5 - Congruence & Triangles 5.3 – Notes and Practice Name: __________________________________________ Date: _____________________________ Triangle Congruence Postulates Today’s Question: What does it mean for two triangles to be congruent? (MCC912.G.SRT5, MCC9-12.G.CO.7-8) Congruent Triangles • ______________________________________________________________________________ • ______________________________________________________________________________ Side – Side – Side (SSS) Congruence Postulate three sides of one triangle are congruent to three sides of a second triangle Side – Angle – Side (SAS) Congruence Postulate two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle Angle – Side – Angle (ASA) Congruence Postulate two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle Angle – Angle – Side (AAS) Congruence Postulate two angles and a non-included side of one triangle are congruent to two angles and a non-included side of a second triangle Hypotenuse – Leg (HL) Congruence Postulate In a right triangle, the hypotenuse and one leg is congruent to the hypotenuse and leg of another right triangle CCGPS Geometry 5 - Congruence & Triangles 5.3 – Notes and Practice Practice Determine if each pair of triangles is congruent by SSS, SAS, ASA, HL, or AAS and finish the congruence statement. If none of these methods work based on the information given, write “none” and leave the congruence statement blank. ___________ ___________ 1. 2. ___________ 3. ΔBIG ≅ ________ ΔSML ≅ ________ ΔOPN ≅ _______ ___________ ___________ ___________ 4. 5. ΔFLP ≅ ________ ___________ 8. ΔCAT ≅ ________ ΔCLD ≅ ________ ΔHOT ≅ ________ ___________ 7. 6. ___________ 9. ΔHIP ≅ ________ ΔPAT ≅ ________