Geometry Postulates and Theorems Cheat Sheet

A Geometry Postulates and Theorems Cheat Sheet is a handy reference tool that provides a summary of important geometric postulates (basic assumptions) and theorems (proven statements) in a concise and organized manner. It is used by students and learners of geometry to quickly review and access key concepts and formulas for solving geometric problems.

The Geometry Postulates and Theorems Cheat Sheet is typically filed by the teacher or instructor who creates it for their students.

FAQ

Q: What are some basic geometry postulates?
A: Some basic geometry postulates include the line postulate, angle postulate, and the plane postulate.

Q: What is the line postulate?
A: The line postulate states that a line contains at least two points.

Q: What is the angle postulate?
A: The angle postulate states that an angle consists of two different rays that have the same endpoint.

Q: What is the plane postulate?
A: The plane postulate states that a plane contains at least three non-collinear points.

Q: What is the Pythagorean Theorem?
A: The Pythagorean Theorem states that 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 other two sides.

Q: What is the Angle-Side-Angle (ASA) theorem?
A: The ASA theorem states that if two angles and the included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent.

Q: What is the Side-Angle-Side (SAS) theorem?
A: The SAS theorem states that if two sides and the included angle of one triangle are congruent to the corresponding sides and angle of another triangle, then the triangles are congruent.

Q: What is the Angle-Angle-Side (AAS) theorem?
A: The AAS theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent.

Q: What is the Triangle Inequality Theorem?
A: The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Q: What is the Congruent Supplements Theorem?
A: The Congruent Supplements Theorem states that if two angles are supplementary to the same angle (or congruent angles), then the two angles are congruent.

Q: What is the Angle Bisector Theorem?
A: The Angle Bisector Theorem states that a line segment bisector of an angle in a triangle divides the opposite side into segments that are proportional to the other two sides of the triangle.