Basic geometry theorems pdf

Telegram Channel. Facebook Page. Youtube Channel. Leave a Comment Cancel Reply Your email address will not be published. Quantitative Aptitude Maths. Current Affairs. Especially if we can learn the subject of triangles, it will be easier to understand these issues when the subject of rectangular-square, quadrilateral, trapezoid, parallelogram, deltoid, polygons, circles comes up.

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Table of Content. Geometry Exam Preparation. Geometry Test PDF. Geometry parallel lines test-1 PDF Course Geometry offers Geometry textbook in pdf format that can be downloaded free of charge. Geometry parallel lines test-2 PDF Course Geometry offers Geometry textbook in pdf format that can be downloaded free of charge. Geometry angles on a triangle test-1 PDF Course Geometry offers Geometry textbook in pdf format that can be downloaded free of charge.

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Geometry special right triangles test-4 PDF Course Geometry offers Geometry textbook in pdf format that can be downloaded free of charge. Substitution Postulate A quantity may be substituted for its equal in any expression.

Partition Postulate The whole is equal to the sum of its parts. Construction From a given point on or not on a line, one and only one perpendicular can be drawn to the line.

Right Angles All right angles are congruent. Straight Angles All straight angles are congruent. Congruent Supplements Supplements of the same angle, or congruent angles, are congruent. Congruent Complements Complements of the same angle, or congruent angles, are congruent. Linear Pair If two angles form a linear pair, they are supplementary. Vertical Angles Vertical angles are congruent. Exterior Angle The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

The measure of an exterior angle of a triangle is greater than either non-adjacent interior angle. Base Angle Theorem Isosceles Triangle If two sides of a triangle are congruent, the angles opposite these sides are congruent.

Base Angle Converse Isosceles Triangle If two angles of a triangle are congruent, the sides opposite these angles are congruent. Side-Side-Side SSS Congruence If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Side-Angle-Side SAS Congruence If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Angle-Side-Angle ASA Congruence If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. Angle-Angle-Side AAS Congruence If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. Hypotenuse-Leg HL Congruence right triangle If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent.

Angle-Angle AA Similarity If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar. SSS for Similarity If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar. SAS for Similarity If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar.

Side Proportionality If two triangles are similar , the corresponding sides are in proportion. Mid-segment Theorem also called mid-line The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long. Sum of Two Sides The sum of the lengths of any two sides of a triangle must be greater than the third side.

Corresponding Angles If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding Angles Converse If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Alternate Interior Angles If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Alternate Exterior Angles If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Interiors on Same Side If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

Alternate Interior Angles Converse If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.

Supplementary angle geometry worksheets. Theorems about circles circles. We recommend downloading the pdf file.

The quality of your printable geometry worksheet will be pristine with the pdf version of the worksheet. Geometry worksheets including angle coordinate transformational and three dimensional geometry worksheets. Basic properties of circles circles. Main menu math language arts science social studies workbooks browse by grade login become a member. High school geometry worksheets. This page includes geometry worksheets on angles.