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5.2 Bisectors in Triangles

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Presentation on theme: "5.2 Bisectors in Triangles"— Presentation transcript:

1 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

2 Perpendicular Bisectors
Find the equation of all 3 midsegments – leave answers in fraction form 2

3 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.

4 Perpendicular Bisectors
Find CA and DB. Explain your reasoning. Find the value of x, HI, and JI Classify the triangle. 4

5 Perpendicular Bisectors
Write an equation for the perpendicular bisector of CD. C (-2,-3), D( 3,5) Write an equation of the perpendicular bisector of AB. A(1, -1), B(3, 3) 5

6 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.

7 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.

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

9 5.2 Bisectors in Triangles
NaNaFish Can you figure out the puzzle below??? HW 5.2: #6-15, 18-25, 40, 48 Tuna Fish


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