Download 4.3 - 4.5 Triangle Congruence Postulates

Geometry Chapter 4: Congruent Triangles Triangle Congruence SWBAT: use SSS, SAS, HL, ASA, and AAS to show two triangles are congruent; show why SSA and AAA do not work to prove triangles congruent. Common Core: G.CO.6, G.CO.7, G.CO.8, G.CO.9, G.CO.10, G.CO.12, G.SRT.5
Postulate 19: Side-­‐Side-­‐Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Postulate 20: Side-­‐Angle-­‐Side (SAS) Congruence 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. Geometry Chapter 4: Congruent Triangles Theorem 4.5: Hypotenuse-­‐Leg Congruence Theorem If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second triangle, then the two triangles are ____________________________________. Postulate 21: Angle-­‐Side-­‐Angle (ASA) Congruence 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. Theorem 4.6: Angle-­‐Angle-­‐Side (AAS) Congruence Theorem If two angles and non-­‐included side of one triangle are congruent to two angles and the corresponding non-­‐included side of a second triangle, then the two triangles are congruent. Geometry Chapter 4: Congruent Triangles What about SSA Triangles Congruence??? Anything the spells a “bad word” is bad for proving ________________________________________. What about AAA Triangle Congruence??? Are the triangles the same? _____________________ Does AAA work for proving triangle congruence? __________________