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Section 5.1.

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Presentation on theme: "Section 5.1."— Presentation transcript:

1 Section 5.1

2 21. B 22. A 23. C 24. F 25. D 26. E

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4 5-2 Properties of Triangles

5 a line (or ray or segment) that is
perpendicular bisector of a triangle --- a line (or ray or segment) that is perpendicular to a side of a triangle at the midpoint of the side. each triangle has 3 perpendicular bisectors – one for each side

6 Concurrent lines – three or more lines (or rays or segments)
that intersect in the same point Point of concurrency – the point of intersection is called the point of concurrency The three perpendicular bisectors of a triangle are concurrent. The point of concurrency can be inside, on, or outside the triangle.

7 Circumcenter – the point of concurrency of the perpendicular
bisectors of a triangle is called the circumcenter. Because the circumcenter is equidistant form the vertices, it is used as the center of a circumscribed circle. Circumscribed circle – a circle that goes around the outside of a polygon and intersects the polygon only at each vertex.

8 Angle bisector of a triangle – the bisector of an angle of the triangle.
The three angle bisectors of a triangle are concurrent. The point of concurrency for the angle bisectors is called the incenter. The incenter is always inside the triangle.

9 The incenter is used as the center of an inscribed circle
Inscribed circle – a circle inside a polygon that intersects the circle once on each side.

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