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SSS (Side Side Side) Congruence Criteria (Condition): Two triangles are congruent, if three sides of one triangle are equal to the corresponding three sides of the other triangle. ∴ By SSS criteria This, condition of congruence is known as side-angle-side congruence. In short we write SAS condition.SSS Corresponding angles of congruent triangles are congruent ̅̅̅̅ is the angle bisector of Definition of an angle bisector Discussion (25 minutes) The included proofs of AAS and HL are not transformational; rather they follow from ASA and SSS, already proved. Discussion Triangle congruence postulates/criteria (video) | khan academy. Proving triangles congruent with sss, asa, sas, hypotenuse leg. Congruence theorems. Congruent triangles math open reference. Preparing congruent triangle proofs mathbitsnotebook(geo. Triangle congruence postulates: example problems (part 2. Congruent triangles examples. Essential Question Check-In How is the HL Triangle Congruence Theorem similar to and different from the ASA, SAS, SSS, and AAS Triangle Congruence Theorems? 1. Tyrell used geometry software to construct ∠ABC so that m∠ABC = 20°. Then he dragged point A so that AB = 6 cm. He used the software’s compass tool SSS and SAS Congruence. Date_ Period____. State if the two triangles are congruent. If they are, state how you know. -1-. Worksheet by Kuta Software LLC. State what additional information is required in order to know that the triangles are congruent for the reason...7.1 sim and cong triangle lesson.notebook 1 December 16, 2014 7.1 & 7.2 Similar and Congruent Triangles Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. Side-Angle-Side (SAS) Postulate Postulate 4-2 If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Lesson 4-2 Triangle Congruence by SSS and SAS Then... AABC _ BC is included between LB and CC. ADEF 519 Lesson Quiz Holt Geometry Holt McDougal Geometry CPCTC is an abbreviation for the phrase “Corresponding Parts of Congruent Triangles are Congruent.” It can be used as a justification in a proof after you have proven two triangles congruent. SSS, SAS, ASA, AAS, and HL use corresponding parts to prove triangles congruent. 22. Method 1: Use SSS because opposite sides of a rectangle are congruent, and the triangles would share one side. Method 2: Use SAS because the opposite sides of a rectangle are congruent and the opposite angles are congruent. 23. Lorenzo is correct. The triangles cannot be congruent. Even though all of the LESSON 4.4 For use with pages 240—247 Date Use the diagram to name the inc u ed angle between the given pair common of sides. bC and CD or z BDA CD and DB zABC 3. AB and BD z ABD 5. DA and AB Z DAB LA 2. 4. Decide whether enough information is given to prove that the triangles are congruent using th SAS Congruence Postulate. 8. ADKFASKT 9 ...