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Ways to Prove Triangles Congruent HL Method 4 Known Methods Side – Angle – Side Angle – Side – Angle Angle – Angle – Side Side – Side – Side PLUS ONE MORE!!! Hypotenuse-Leg (HL Method) • Only works with a right triangle • Must have a right angle • Hypotenuses must be congruent • Must also have one additional side (leg) Must both have right angles, congruent legs and congruent hypotenuses. Example of HL Method * Would otherwise have been SSA except for the right angle. Corresponding Parts of Congruent Triangles are Congruent (CPCTC) After we prove two triangles congruent, there are 6 corresponding parts that are therefore congruent, 3 sides and 3 angles. CPCTC often used in proofs Given: BO=MA OW=AN BW=MN Prove: ∠O=∠A Statements Reasons BO=MA Given OW=AN Given BW=MN Given ∆BOW=∆MAN SSS Method of Congruence ∠O=∠A CPCTC