Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download 5.3 Use Angle Bisectors of Triangles
Transcript
Bell Problem Find the value of x. 5.3 Use Angle Bisectors of Triangles Standards: 1. Represent situations using algebraic symbols 2. Analyze properties of 2-D shapes Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the two side of the angle. Converse of the Angle Bisector Theorem If a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle. Ex. Find the measure of <GHJ. Ex. A soccer goalie’s position relative to the ball and goalposts forms congruent angles, as shown. Will the goalie have to move farther to block a ball shot toward the right goalpost R or the left goalpost L? Ex. For what value of x does P lie on the bisector of <A? Ex. Find the value of x. Concurrency of Angle Bisectors of a Triangle The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle. Incenter Incenter- the point of concurrency of the three angle bisectors of a triangle *always lies inside the triangle* The circle is said to be inscribed within the triangle Ex. In the diagram, N is the incenter of ΔABC. Find ND. Homework pg. 313-314 #4-20 even
