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
Euler angles wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of geometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Trigonometric functions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Four color theorem wikipedia , lookup
GEOMETRY Angle Bisector Theorem NAME_________________________ DATE __________ Per.___________ Proofs the Angle 3. Construct Bisector of ∠BIC. B I Measure the angles: m∠BIS = m∠SIC = m∠BIC = How are the measures related? Label it as ray IS. C 4. Fill in the Statements in this flowchart proof: 5. Given: IS bisects ∠BIC. Prove: m∠BIS = 1 m∠BIC and m∠SIC = 1 m∠BIC. 2 Draw the arrows to show the logical flow of the proof from bubble to bubble. 2 m∠BIS = ____________ GIVEN Definition of Angle Bisector m∠BIS + m∠____ = m∠BIC = 2m∠__ __ __ and m∠____ + m∠___ = m∠____ = 2m∠SIC m∠____ + m∠____ = m∠____ _______________________ Angle Addition Postulate Substitution Property of Equality m∠BIS = and m∠____ = 1 m∠BIC 2 Division Property of Equality