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
History of geometry wikipedia , lookup
Golden ratio wikipedia , lookup
Multilateration wikipedia , lookup
Technical drawing wikipedia , lookup
Euler angles wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Perceived visual angle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Plane Geometry Finding Triangles Congruent By Callie Hammond Table of Contents Ways to Prove Triangles Congruent AAS ASA SAS SSS HL Ways to Prove Triangles Congruent AAS (Angle, Angle, Angle) ASA (Angle, Side, Angle) SAS (Side, Angle, Side) SSS (Side, Side, Side) HL (Hypotenuse, Leg) For extra help, visit http://www.mathwarehouse.com/geometry/congruent_triangles/ AAS (Angle, Angle, Side) If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. (The non-included side can be either of the two sides that are not between the two angles being used.) ASA (Angle, Side, Angle) If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. (The included side is the side between the angles being used. It is the side where the rays of the angles would overlap.) SAS (Side, Angle, Side) If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. (The included angle is the angle formed by the sides being used.) SSS (Side, Side, Side) If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. (For this method, the sum of the lengths of any two sides must be greater than the length of the third side, to guarantee a triangle exists.) HL (Hypotenuse, Leg) If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent. (Either leg of the right triangle may be used as long as the corresponding legs are used.) *Can only be used for Right Triangles.