1 / 32

# CONCURRENT LINES - PowerPoint PPT Presentation

CONCURRENT LINES. Three or more lines that intersect at a common point. POINT OF CONCURRENCY. The point at which 3 or more lines intersect. Point of concurrency. CIRCUMCENTER. Point of concurrency for the perpendicular bisectors of a triangle. circumcenter. Circumscribed circle.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'CONCURRENT LINES' - serge

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

POINTOFCONCURRENCY

circumcenter 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

incenter of the triangle is a point on the circle

50

50

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

4 opposite side of a triangle

4

CENTROID opposite side of a triangle

centroid opposite side of a triangle

ALTITUDE opposite side of a triangle

ORTHOCENTER to the opposite side

orthocenter to the opposite side