-Complementary Angles Theorem-If two angles are complement to the same angle,then the angles are equal in measure.
-Supplementary Angles Theorem-If two angles are supplement to the same angle,then the angles are equal in measure.
-Definition Of Vertical Angles-Angles sharing a common vertex that faces away from each other.
-Straight Angles Postulate-If the sides of an angle form a straight line,then the angle is a straight angle with a measure of 180°
-Whole And Parts Postulate-For any segment or angle,the measure of the whole is equal to the sum of the measures of its non-overlapping parts.
-Vertical Angles Theorem-Vertical angles are equal in measure.
-Parallel Lines Postulate-If two parallel lines are cut by a transversal,then corresponding angles are equal in measure.
-Alternate Interior Angles' Theorem-If two parallel lines are cut by a transversal,then alternate interior angles are equal in measure.
-Co-Interior Angles' Theorem-If two parallel lines are cut by a transversal,then co-interior angles are supplementary.
-Definition Of Converse-The opposite of a theorem,postulate,etc.
-Converse Of Parallel Lines Postulate-If two lines are cut by a transversal and if corresponding angles are equal in measure,then the lines are parallel.
-Converse Of Alternate Interior Angles' Theorem-If two lines are cut by a transversal and if alternate interior angles are equal in measure,then the lines are parallel.
-Converse Of Co-Interior Angles' Theorem-If two lines are cut by a transversal and if co-interior angles are supplementary,then the lines are parallel.
-Parallelogram Consecutive Angles' Theorem-If a quadrilateral is a parallelogram,then consecutive angles' are supplementary
-Parallelogram Opposite Angles' Theorem-If a quadrilateral is a parallelogram,then the opposite angles' are equal in measure.
-NO NAME-If two lines are perpendicular to the same transversal,then the lines are parallel.
-NO NAME-If a transversal is perpendicular to one of two parallel lines,then it is also perpendicular to the other.
-Unique Parallel Lines Postulate-Through a point not on a given line,there exists one and only one line parallel to the given line.
-Triangle Sum Theorem-The sum of the angles of a triangle is 180°
-Quadrilateral Sum Theorem-The sum of the measures of the angles of a quadrilateral is 360°
-Definition Of Parallelogram-A quadrilateral with two pairs of parallel sides.
-Similar Polygons-Polygons whose corresponding angles are equal in measure and corresponding sides are in proportion.
-Triangle Similarity Postulate-If two angles of one triangle are equal in measure to two angles of another triangle,then the triangles are similar by angle angle similarity.(AA Similarity)
-Overlapping Similar Triangles Theorem-If a line is drawn from a point on one side of a triangle parallel to another side,then it forms a triangle similar to the original.
-Congruent Polygons-Similar polygons whose corresponding sides are in ratio 1:1.
-CPCTC-Corresponding Parts Of Congruent Triangles Are Congruent.
-NO NAME-If two sides and an included angle of one triangle are equal in measure to the corresponding sides and an angle of another triangle,then the triangles are congruent by side,angle,side.(SAS)
-NO NAME-If two angles and the included side of one triangle are equal in measure to the corresponding angles of another triangle,then the triangles are congruent by angle,side,angle(ASA).
-NO NAME-If two angles and a non-included side of one triangle are equal in measure to the corresponding angles and side of another triangle,then the triangles are congruent by angle,angle,side(AAS).
-NO NAME-If three sides of one triangle are equal in measure to the corresponding sides and angle of another triangle,then the triangles are congruent by side,side,side(SSS).
-Definition Of An Segment Bisector-A ray,line,or segment that divides a segment into two parts of equal measure.
-Definition Of An Isosceles Triangle-A triangle with two congruent sides.
-NO NAME-If two sides of a triangle are equal in measure,then the angles opposite those sides are equal in measure.
-NO NAME-If two angles of a triangle are equal in measure,then the sides opposite those angles are equal in measure.
-Definition Of An Equilateral Triangle-A triangle with three congruent sides.
-NO NAME-If a triangle is an equilateral,then it is also equiangular with 3 60° angles.
-NO NAME-If a triangle is equiangular,theen it is also equilateral.
-Definition Of Perpendicular Bisector-A line,ray, or segment that is perpendicular to the segment it bisects.
-NO NAME-If a point is equidistant from the endpoints of a segment,then it lies on the perpendicular bisector of the segment.
-Definition Of Altitude In A Triangle-A segment drawn from the vertex,perpendicular to the opposite side;length of the altitude is considered the height of a triangle when the length of the oppisite side is considered the base.
-NO NAME-If the altitude is drawn to the hypotenuse of a right triangle,then the two triangles formed are similar to each other and the original.
-Definition Of Hypotenuse-Longest side of a right triangle;the side opposite the right angle.
-Defintion Of Geometric Mean-The square root of the product of two numbers.
-NO NAME-If the altitude is drawn to the hypotenuse of a right triangle,then the measure of the altitude is the geometric mean between the lengths of the parts of the hypotenuse.
-Pythagorean Theorem-In a right triangle,the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
-Height Of An Altitude-In an altitude,the height is equal to the geometric mean of the parts of the hypotenuse.
-Definition Of Trigonometry-The measurement of triangles.
The following is a small group of stuff used in trigonometry so I'll put the together.Here they are:-Basic Trigonemetric Functions 1(SINE) (SIN)-SINE=SIN of Theta=The opposite angle of the triangle ove the hypotenuse of a triangle.
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