Postulates, Theorems, and
Proofs
Goals:
·Properly use postulates and theorems
·Know the kinds of reasons that can be
used in proofs
Postulate vs. Theorem
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Geometry Postulates, Theorems and Proofs: Understanding Midpoints and Angle Bisectors, Exams of Geometry
Postulates, theorems, and proofs related to midpoints and angle bisectors in geometry. Students will learn how to use these concepts properly and understand the reasoning behind the proofs. Topics include definitions of midpoint and angle bisector, midpoint theorem, angle bisector theorem, and segment addition postulate.
Typology: Exams
2021/2022
1 / 12
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Geometry Postulates, Theorems and Proofs: Understanding Midpoints and Angle Bisectors and more Exams Geometry in PDF only on Docsity!
Postulates, Theorems, and
Proofs
Goals:
· Properly use postulates and theorems
· Know the kinds of reasons that can be
used in proofs
Postulate vs. Theorem
Reasons used in Proofs:
Midpoint Theorem
If M is the midpoint of
Draw a picture:
Now let's prove why it is true!
Given: M is the midpoint of
Prove:
Angle Bisector Theorem
If BX is the bisector of then
Draw a picture:
Now let's prove why it is true!!!
Given: Prove:
P/T/P
Grade: 10
Subject: Honors Geometry
Date: «date»
1 A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector
2 AE + EF = AF A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector 3 A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector
6 A (^) Definiton of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector 7 A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector
8 A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector 9 A (^) Definition of Midpoint B (^) Definition of Angle Bisector C (^) Angle Addition Postulate D (^) Segment Addition Postulate E (^) Midpoint Theorem F (^) Angle Bisector Theorem G (^) Definition of Segment Bisector