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Match the following:

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Midsegment of a triangle

Equidistant

Concurrent

Point of concurrency

Circumcenter of a triangle

Circumscribe

Incenter of a triangle

Inscribed in

Median

Altitude

Centroid

Orthocenter

Indirect reasoning

Indirect proof

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the point of concurrency of the angle bisectors of a triangle

the point of concurrency of the lines that contain the altitudes of a triangle

a segment connecting the midpoint of two sides

all possibilities are considered, then all but one are proven false

the point of concurrency of the medians of a triangle

a point that is the same distance from two objects

when three or more lines intersect at the point

when a circle is drawn around a figure so that the vertices lie on the circle

a circle drawn inside a triangle where the incenter is the center of the circle

point of concurrency of the perpendicular bisectors of a triangle

a proof involving indirect reasoning

perpendicular segment from a vertex to the line containing the opposite side

the point of intersection of three or more lines

a segment whose endpoints are a vertex and the midpoint of the opposite side


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