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## PowerPoint Slideshow about ' CONCURRENT LINES' - serge

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CONCURRENTLINES

POINTOFCONCURRENCY

circumcenter triangle

Circumscribed circle triangle

A circle that is drawn around a triangle so that each vertex of the triangle is a point on the circle

Circumcenter Theorem of the triangle is a point on the circle

The circumcenter of a triangle is located equidistant from each vertex of the triangle.

BO=AO=CO

INCENTER of the triangle is a point on the circle

Point of concurrency for the angle bisectors of a triangle of the triangle is a point on the circle

Inscribed circle of the triangle is a point on the circle

A circle using the of the triangle is a point on the circleincenter of a triangle as its center, and is drawn so that each side of the triangle touches the circle in one point

Incenter Theorem of the triangle is a point on the circle

- The incenter of a triangle is equidistant from each side of the triangle.

AI = BI = CI

A

I

B

C

MEDIAN of the triangle is a point on the circle

A segment drawn from the vertex to the midpoint of the opposite side of a triangle

4 opposite side of a triangle

4

CENTROID opposite side of a triangle

The point where the medians of a triangle intersect opposite side of a triangle

centroid opposite side of a triangle

ALTITUDE opposite side of a triangle

A segment drawn from the vertex of a triangle perpendicular to the opposite side

ORTHOCENTER to the opposite side

Point of concurrency for the altitiudes of a triangle to the opposite side

orthocenter to the opposite side

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