File name: Geometry Postulates And Theorems List With Pictures Pdf

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👉Geometry Postulates And Theorems List With Pictures Pdf

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Geometry PostulatesTheorems-List - Free download as PDF File .pdf), Text File .txt) or read online for free. This document defines various geometry terms including angles, lines, . GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. . Postulates/Theorems Relating Angles Formed by Parallel Lines. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then corresponding angles are congruent. . Postulates/Theorems Relating Angles Formed by Parallel Lines. Corresponding Angles Theorem If two parallel lines are cut by a transversal, then corresponding angles are congruent. Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then alternate interior angles are congruent. All right angles are congruent. If two congruent angles are supplementary, then each is a right angle. If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle. GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB is a positive number, AB. Postulate 3: If X is a point on and A-X-B (X is between A and B), then AX + XB = AB. Postulate Linear Pair Postulates - If two angles form a linear pair, then they are supplementary. Angle Bisector - a ray that divides an angle into two congruent angles. All right angles are congruent. If two congruent angles are supplementary, then each is a right angle. If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle. Base Angles Theorem: If two sides of a triangle are congruent, then the angles opposite them are congruent. Corollary: If a triangle is equilateral, then it is equiangular.