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Details Title: Geometric Theorems Description: Theorems Total Flash Cards: 50 Created: 04/20/2005 08:25:14	To study from this set of flash cards, or to create your own your own study flash cards, register HERE. If you are already a registered user, CLICK HERE.
Cards Term Segment Definition Part of a line that begins at one point and ends at another Term Ray Definition Part of a line that starts at a point and extends forever in one direction Term Angle Definition Figure formed by 2 rays with a common endpoint Term Point Definition The intersetion of two lines Term Line Definition The intersection of two planes Term Distance on a number line Definition |a-b| Term Segment addition postulate Definition AB+BC=AC Term Complementary angles Definition 2 angles whose sum is 90 Term Complementary angles Definition 2 angles whose sum is 90 Term Supplementary angles Definition 2 angles whose sum is 180 degrees Term Linear pairs are... Definition Supplementary Term Right angle Definition Angle whose measure is 90 degrees Term Acute angle Definition Angle whose measure is less than 90 degrees Term Perpendicular Definition 2 coplanar lines that intersect to form right angles Term Parallel Definition 2 coplanar lines that do not intersect Term Adjacent Definition 2 angles who share a common side Term Symmetric property Definition If a=b then b=a Term Reflexive property Definition AB=AB Term Transitive Definition If a=b and b=c then a=c Term Vertical angles are... Definition Congruent Term If two coplanar lines are parallel to the same line, then... Definition They are parallel to each other Term If two coplanar lines are perpendicular to the same line, then... Definition They are parallel to each other Term Sum of the measures of a triangle Definition 180 degrees Term Sum of the measures of a quadrilateral Definition 360 degrees Term The measures of an exterior angle of a triangle is equal to... Definition the sum of the measures of the remote interior angles Term The sum of interior angles of a polygon is... Definition (n-2)180 Term The length of the midsegment of a triangle is... Definition One half the base Term Midsegment Definition A segment parallel to the base of a triangles joining the midpoints of the two nonparallel sides. Term The length of the median of a trapezoid is Definition One half the sum of the bases Term Two coplanar lines are parallel if... Definition they have the same slope. Term Two coplanar lines are perpendicular if... Definition Their slopes are opposite reciprocals of each other(or product of slopes is -1) Term If two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then... Definition The two triangles are congruent by SAS Term Slope Definition Vertical change divided by horizonal change Term If 2 sides of a triangle are congruent then... Definition Opposite angles are congruent(by Isosceles triangle theorem Term If 2 angles of a triangle are congruent, then... Definition th triangle is isosceles(by converse of isosceles triangle theorem) Term Area Definition The number of square units it takes to cover a region Term Volume Definition The number of cubes it takes to fill an object Term Perimeter Definition The distance around an object Term Circumference Definition The distance around a circle Term Circle Definition The set points equidistant from a given point is called the center Term Area of a circle Definition Pi times radius squared Term Area of a trapezoid Definition One half times height times the sumb of the bases or length of midsegment times hight Term Area of regular polygon Definition One half the apothem times the perimeter Term Pythagorean theorem Definition The sum of the square of the legs is equal to the square of the hypotenuse Term In a 45-45-90 triangle, the hypotenuse is... Definition Square root of 2 times longer than either leg Term In a 45-45-90 triangle, either leg is... Definition Square root of 2 times shorter than the hypotenuse Term In a 30-60-90 trianle, the hypotenuse is... Definition twices as long as the shorter leg Term In a 30-60-90 triangle, the long leg is... Definition Square root of 3 times longer than the short leg Term In a 30-60-90 triangle, the short legt is... Definition Square root of 3 times shorter than the long leg and half the leght of the hypotenuse Term Slope of line in standard form Definition -A/B