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
Golden ratio wikipedia , lookup
Multilateration wikipedia , lookup
Penrose tiling wikipedia , lookup
Technical drawing wikipedia , lookup
Apollonian network wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Congruent tests for triangles.notebook December 05, 2012 Section 4.4 and 4.5: Tests for Congruent Triangles In section 4.3: Show all three pairs of sides and all three pairs of angles are congruent to prove triangles are congruent. What if you only have three sides congruent? Is it necessary to prove all angles are congruent too? What if you only have three angles congruent? Do you need to show all three sides congruent? 1 Congruent tests for triangles.notebook December 05, 2012 Tests to prove triangles are congruent: SideSideSide(SSS): If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. ** no need to check angles** SideAngleSide(SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. 2 Congruent tests for triangles.notebook December 05, 2012 AngleSideAngle(ASA): If the two angles and included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. AngleAngleSide(AAS): If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of another triangle, then the triangles are congruent. 3 Congruent tests for triangles.notebook December 05, 2012 HypotenuseLeg(HL): If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent. Which tests prove triangles are congruent? Which ones DO NOT prove congruent triangles? 4 Congruent tests for triangles.notebook December 05, 2012 5 Congruent tests for triangles.notebook December 05, 2012 6