Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Penrose tiling wikipedia , lookup
Euler angles wikipedia , lookup
History of geometry wikipedia , lookup
Apollonian network wikipedia , lookup
Technical drawing wikipedia , lookup
Trigonometric functions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
History of trigonometry wikipedia , lookup
XYZ = QRS Name all the corresponding congruent parts. Y R X Z S Note: To prove that two triangles are congruent, you must show that the 3 sets of angles are congruent AND that the 3 sets of sides are congruent!! That's a total of 6 sets of congruent parts. Q 8.12 Proving Triangles Congruent : SSS, SAS, ASA, AAS Objective: Prove two triangles are congruent using the SSS, SAS, ASA, AAS postulates. An included angle is an angle formed by two adjacent sides of a polygon. ∠B is the included angle between sides AB and BC. Remember: An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side. 8-1 8-2 Do you have enough information to prove the triangles congruent? If so, write the congruence statement and give the postulate. What additional piece of information is needed to prove that these two triangles are congruent by the given postulate? HW # 86 Triangle Congruency Worksheet 8.12 Proving Triangles Congruent : SSS, SAS, ASA, AAS Objective: Prove two triangles are congruent using the SSS, SAS, ASA, AAS postulates. 8-3 8-1 Determine if ∆NKL ≅ ∆LMN. Determine if you can use ASA to prove the triangles congruent. Explain. Identify the postulate or theorem that proves the triangles congruent. Are the two triangles congruent? If they are, state how you know.