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17 Cards in this Set
- Front
- Back
cevian
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a line segment from a vertex of a triangle to a point on the opposite side
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perpendicular bisector
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the line passing through the midpoint of a segment such that the line is perpendicular to the segment
consists of all points that are equidistant from the endpoints of the segment |
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angle bisector
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a line that divides an angle into two equal angles
consists of all points that are equidistant from the sides of the angle |
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concurrent
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to meet at a single point
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circumcenter
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place where the perpendicular bisectors of the sides of a triangle meet
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circumcircle
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circle centered at the circumcenter
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circumscribe
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to pass through all the vertices of a triangle
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circumradius
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radius of the circumcircle
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what is the circumcenter of a right triangle?
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the midpoint of the hypotenuse
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what is the circumradius of a right triangle?
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one half the length of the hypotenuse
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incenter
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where the angle bisectors of a triangle are cocurrent. this point is equidistant from the sides of the triangle
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inradius
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the distance from the incenter to the sides of a triangle
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incircle
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circle inside a triangle
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median
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the median of a triangle is a segment from a vertex to the midpoint of the opposite side
the medians of a triangle divide the triangle into six triangles with equal area |
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centroid
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where the medians of a triangle are concurrent
the centroid of a triangle cuts its medians into a 2:1 ratio |
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what is the median to the hypotenuse of a right triangle?
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half the length of the hypotenuse
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orthocenter
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the point of a triangle where the altitudes are cocurrent
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