 | Term | Definition |
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Midpoint Theorem |
If A=(X1,Y1) and B= (X2,Y2), then the midpoint of M=(Xm,Ym) of AB can be found by using the midpoint formula |
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Right Angle Theorem |
If two agles are both supplementary and congruent, then they are right angles |
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Distance Postulate |
A line segment is the shortest path between two points. |
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Distance |
The length of the shortest path joining two objects |
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perpendicular bisector |
a line that bisects and is perpendicular to the segment |
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Perpendicular bisector theorem |
If two points are each equidistant from the endpoints of a segment, then the two points determine the perpendicular bisector of that segment. |
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Opposite of perpendicular bisector theorem |
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment |
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transversal |
a line that intersects two coplanar lines in two distinct points |
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alternate interior angles |
a pair of angles formed by two lines and a transversal. The angles must both lie in the interior of the figure, must lie of alternate sides of the transversal, and must have different vertices. |
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alternate exterior angles |
a pair of angles formed by two lines and a transversal. The angles must both lie in the exterior of the figure, must lie on alternate sides of the transversal, and must have different vertices |
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corresponding angles |
a pair of angles formed by two lines and a transversal. One angle must lie in the interior of the figure, and th eother must lie in the exterior. The angles must lie on the same side of the transversal but have different vertices. |
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parallel lines |
two coplanar lines that do not intersect |
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slope |
(y2-y1)/(x2-x1) |
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parallel theorem |
If the slopes of two nonvertical lines are equal, then the lines are parallel |
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opposite reciprocal theorem |
If two lines are perpendicular and neither is vertical, each line's slope is the opposite reciprocal of the others |
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perpendicular theorem |
If a line's slope is the opposite reciprocal of another line's slope, the two lines are perpendicular. |
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