5.2 Bisectors in Triangles

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Presentation transcript:

5.2 Bisectors in Triangles 1 Can you figure out the puzzle below??? 5.2 Bisectors in Triangles A hole in one. Do you know how many dimples are on a regulation golf ball? 336

Learning Target… To use the properties of perpendicular bisectors and angle bisectors. Purpose: To be able to see the different relationships of triangles.

Perpendicular Bisectors CD is a perpendicular bisector of AB A D B Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Theorem 5-3: Converse of the Perpendicular Bisector Theorem: If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Perpendicular Bisectors Find CA and DB. Explain your reasoning. Write an equation of the perpendicular bisector of AB. A(1, -1), B(3, 3)

Distance How can we find the distance from point A to line BC. A C B Distance from a Point to a Line: The length of the perpendicular segment from the point to the line.

Angle Bisectors C AD is a bisector of D A B Theorem 5-4: Angle Bisector Theorem: If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle. Theorem 5-5: Converse of the Angle Bisector Theorem: If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.

Angle Bisectors Find FD. Explain your reasoning. Find . Explain your reasoning.

5.2 Bisectors in Triangles NaNaFish Can you figure out the puzzle below??? 5.2 Bisectors in Triangles HW (5.2): Pgs. 267-269; 1-4, 8-26, 28, 29, 40, 43, 46, 48 p.120: #2-4, 20, 22-23 p.300: #2-3 Tuna Fish 8