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32 Cards in this Set
- Front
- Back
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Midpoint formula
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M = (x1 + x2/2), (y1 + y2/2)
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Distance Formula
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d = Square root of (x2-x1)^2 + (y2-y1)^2
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Slope Formula
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m = Y2-y1 / x2-x1
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Triangle Midsegment Theorem
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Is a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and 1/2 as long.
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Perpendicular Bisector Theorem
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If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
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Converse of the Perpendicular Bisector Theorem
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If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
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Angle Bisector Theorem
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If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
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Converse of the Angle Bisector Theorem
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If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
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Concurrency of Perpendicular Bisectors Theorem
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The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices.
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Concurrent
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When three or more lines intersect at one point.
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Point of concurrency
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The point at which three or more lines intersect.
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Circumscribed circle goes with....
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Perpendicular Bisectors
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The circumcenter goes with...
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Perpendicular Bisectors
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The circumcenter of a triangle is where?
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Inside, on, or outside a triangle.
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The circumcenter or an acute/right/obtuse triangle is where?
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Inside, on, outside.
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Concurrency of Angle Bisectors Theorem
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The bisectors of the angles of a triangle are concurrent at a point equidistant from the sides.
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An inscribed circle goes with...
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Angle Bisectors
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The incenter goes with...
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Angle Bisectors
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Median of a triangle
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A segment whose endpoints are a vertex and the midpoint of the opposite side.
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Centroid
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Point of concurrency of the medians.
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Center of gravity
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Point where a triangular shape will balance, also centroid
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The centroid is located where?
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Inside the triangle
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Concurrency of medians theorem
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The medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side
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Altitude
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The perpendicular segment from a vertex of the triangle in the line containing the opposite side
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An orthocenter goes with...
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Altitudes
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A centroid goes with...
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Medians
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The three altitudes of a triangle intersect at the....
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Orthocenter
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The three medians of a triangle intersect at the...
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Centroid
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The three perpendicular bisectors of a triangle intersect at the....
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incenter.
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It is It is equidistant from the three certices of the triangle.
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Circumcenter
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It is equidistant from the three sides of the triangle.
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Incenter.
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It divides each median into two section at a 2:1 ratio.
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Centroid.
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