Warm up - Mrs. Bills Home Page

Download Report

Transcript Warm up - Mrs. Bills Home Page

Warm up
Identify the Property
1. AB  CD
CD  AB
given
__________________
2. AB = CD
AB + BC = CD + BC
given
__________________
3. B  C and C  D
B  D
given
__________________
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
Section 2-4 continued Proofs
Plan of reasoning to complete geometric proofs
a) What is given, what can be assumed from the diagram?
b) What conclusions can be made from each given statement?
c) What reason can you give to justify each conclusion?
d) What order can you prove these conclusions?
e) How can you arrive at what you are asked to prove?
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
Proof
5.
Given: PQ bisects AB at point R and AR  RQ
Prove: RB  RQ
Q
A
R
P
B
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
Proof
Statements
Reasons
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
6.
Given: m5 = m 8 and m6 = m7
Prove: mABC = mEFG
6
5
7
8
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
Statements
Reasons
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
2.4 Building a System of Geometry Knowledge
assignment
Intro to Proof Worksheet
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.