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5.2 Bisectors of Triangles Guiding Question: How can an event planner use perpendicular bisectors of triangles to find the best location for a firework.

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Presentation on theme: "5.2 Bisectors of Triangles Guiding Question: How can an event planner use perpendicular bisectors of triangles to find the best location for a firework."— Presentation transcript:

1 5.2 Bisectors of Triangles Guiding Question: How can an event planner use perpendicular bisectors of triangles to find the best location for a firework display

2 Vocabulary Concurrent: when three or more lines intersect at one point. Point of concurrency: the point where the lines intersect in the triangle. Circumcenter of the triangle: the point of concurrency of the three perpendicular bisectors of a triangle. – Circumcenter Theorem: the circumcenter of a triangle is equidistant from the vertices of the triangle.

3 Vocab Continued Circumscribed: when a circle that contains all the vertices of a polygon is around the polygon. Incenter of a triangle: the point of concerrency where the angle bisectors of a triangle are concurrent. – Incenter Theorem: the incenter of a triangle is equidistant from the sides of the triangle.

4 Vocab continued! Inscribed: a circle inside a polygon intersects each line that contains a side of the polygon at exactly one point.

5 Page 311: 2-6 even, 10-14 even, 18


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