Geometry Reference Guide
Geometry Reference Book
Index Cards
You may cut out each box below and paste each to the front of a card. You may rewrite the contents of each box to the front of a card if you prefer.
You will show an example of each postulate, theorem, definition, or property on the back side of the card. You may use a drawing, a figure, or a diagram in you example.
In other words, each card will have a postulate, theorem, definition, or property defined on the front with an example of it on the back.
Please keep them in the order they are presented here and number your cards appropriately.
Make sure your cards are bound in that order. (Either in a spiral pack or with a ribbon/shoelace or binder clip through a whole.)
The final book should be neat and legible and the diagrams and examples should be creative, attractive and easy to understand.
This is just the beginning of this project and we will continue to add postulates and theorems as we go on to new chapters
I hope that you will be using this book as a reference guide throughout the year.
Thank you,
Mrs. Costero
Title Page: Geometry Guide to Postulates, Theorems, and Properties
(Include your name, Mrs. Costero, Period #)
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1. Postulate: A statement that describes a fundamental relationship between basic terms in geometry. Accepted as true without proof.
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2. Theorem: A statement or conjecture that can be proven true. Corollary: A statement that can be easily proved using a theorem. |
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3. Conditional Statement A statement written in if – then form, with a hypothesis and a conclusion. |
4. Converse: exchanging the Hypothesis and conclusion of a conditional statement Inverse: negating the conditional statement Contrapositive: negating the converse statement |
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5. Law of Detachment: If p –> q is a true conditional and p is true, then q is also true Law of Syllogism: If p –> q and q –> r are true conditionals, then p –> r is also true |
Postulates: Through any two points, there is exactly one line. A line contains at least two points. |
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Postulates: Through any three points not on the same line, there is exactly one plane. A plane contains at least three points not on the same line.
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Postulate: If two points lie in a plane, then the entire line containing those points lies in that plane. |
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Postulates: If two lines intersect, then their intersection is exactly one point. If two planes intersect, then their intersection is exactly one line. |
Midpoint Theorem: If M is the midpoint of AB, then AM = MB.
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Segment Addition Postulate If B is between A and C, then AB + BC = AC. If AB + BC = AC, then B is between A and C.
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Theorem: Congruence of segments is reflexive, symmetric, and transitive. |
