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
Line (geometry) wikipedia , lookup
Euler angles wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of geometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometry Name: __________________________________ Guided Notes Proving Triangle Congruence Using ASA and AAS Date: ______________________ Period: ______ (ASA)__________________________________________________- 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. If angle ∡A ≅ __________, side ̅̅̅̅ ≅ , and angle ∡C ≅ __________,then ΔABC ≅ ΔDEF (AAS) _________________________________________________- If two angles and a nonincluded angle of one triangle are congruent to two angles and a non-included angle of a second triangle, then the two triangles are congruent. If angle ∡A ≅ __________, angle ∡C ≅ __________, and side ̅̅̅̅ ≅ , then ΔABC ≅ ΔDEF ASA______________________________________Not ASA_________________________ AAS______________________________________Not AAS_________________________ Geometry Name: __________________________________ Guided Notes Proving Triangle Congruence Using ASA and AAS Date: ______________________ Period: ______ (HL) If the __________________________________________________ are congruent to the hypotenuse and leg of a second right triangle, then the two triangles are congruent. Example #1: Is it possible to prove that the triangles are congruent? If so, state the postulate of theorem you would use. Example #2: Identify which property will prove these triangles congruent. Example #3: State the third congruence that must be given to prove that ΔABC ≅ ΔDEF using the indicated postulate or theorem. Geometry Name: __________________________________ Guided Notes Proving Triangle Congruence Using ASA and AAS Date: ______________________ Period: ______ Example #4: Decide whether enough information is given to prove that the triangles are congruent. If there is enough information, state the congruence postulate you would use. ΔXYW, ΔZWY ΔMAE, ΔTAE Example #5: Given: ̅̅̅̅̅ ̅̅̅̅ ∡Y ≅ ∡X Prove: ∆WYZ ≅ ∆ZXW Statements Justifications ΔDKA, ΔTKS Geometry Guided Notes Proving Triangle Congruence Using ASA and AAS Example #6: Given: ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ Name: __________________________________ Date: ______________________ Period: ______ ̅̅̅̅ Prove: ∆ABC ≅ ∆DCB Statements Justifications Example #7: Given: ̅̅̅̅ ⊥ ̅̅̅̅ ; ̅̅̅̅ ⊥ ̅̅̅̅ C is the midpoint of ̅̅̅̅ Prove: ∆ABC ≅ ∆DEC Statements Justifications