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geometry mod1 tA,B
| Term | Definition |
|---|---|
| whats an angle bisector | an angle bisector cuts an angle into two congruent parts |
| collinear | three or more points that are contained on the same line |
| complementary angles | two angles whose measures add up to 90 degrees |
| linear pair | two adjacent angles that form a straight line |
| midpoint | a point on a segment that divides the segment into two congruent segments |
| segment bisectors | a line, ray, line segment or plane that intersects a line segment at its midpoint |
| straight angle | an angle that measures 180 degrees |
| supplementary angles | two angles whose measures add up to 180 degrees |
| perpendicular bisector | a segment that passes through the midpoint and forms right angles with the given segment |
| altitude | a line segment that is perpendicular to the line containing the base |
| concurrent | when three or more lines intersect in a single point |
| point of concurrency | the point of intersection where three or more lines are congruent |
| circumcenter of a triangle | the point of concurrency of three perpendicular bisectors of the sides of the triangle |
| incenter of a triangle | the point of concurrency of the three angle bisectors of a triangle |
| adjacent angles | two angles that share a common side |
| isosceles triangle | a triangle with at least two sides of equal length |
| vertical angles | two angles whose sides form opposite rays |
| reflexive axiom | any number or segment or angle is equal to itself ie: a=a |
| symmetric axiom | if a=b, then b=a |
| transitive axiom | if a=b and b=c then a=c |
| addition axiom | if equal quantities are added to equal quantities, then the sums are equal |
| subtraction axiom | if equal quantities are subtracted from equal quantities, then the differences are equal |
| multiplication axiom | if equal quantities are multiplied by equal quantities, then the products are equal |
| division axiom | if equal quantities are divided by equal quantities, then the quotients are equal |
| substitution axiom | a quantity may be substituted for its equal |
| if two parallel lines are cut by a transversal than ____________ angles are congruent | corresponding, alternate interior and alternate exterior |
| if two parallel lines are cut by a transversal than ____________ angles are supplementary | same side interior |
| vertical angles are _________ | congruent |
| two angles that form a linear pair are _________ | supplementary |
| the sum of all angles formed by three or more rays with the same vertex is _________ | 360 degrees |
| the measure of an exterior angle of a triangle is equal to the sum of the measures of the _____________ | two remote interior angles |
| base angles of an isosceles triangle are | congruent |
| the sum of the degree measures of the angles of a triangle is ____ | 180 degrees |
| an auxiliary line ______ | can be drawn on a diagram between any two given points |
| angle addition or segment addition axiom | a whole is equal to the sum of its parts |
| all angles in an equilateral triangle _______ | have equal measure |
| statement used for adding an auxiliary line that is a parallel line | through a given point not on a line there exists one and only one line that can be drawn parallel to the given line |
| the sum of the angles that form a straight line is ________ | 180 degrees |
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