Geometry Beginning Proofs Packet 1

[Pages:70]Geometry Beginning

Proofs Packet 1

Name: __________________________________ Teacher: ________________________________

Table of Contents

Day 1 : SWBAT: Apply the properties of equality and congruence to write algebraic proofs Pages 1- 6 HW: page 7

Day 2: SWBAT: Apply the Addition and Subtraction Postulates to write geometric proofs Pages 8-13 HW: pages 14-15

Day 3: SWBAT: Apply definitions and theorems to write geometric proofs. Pages 16-24 HW: pages 25-27

Day 4: SWBAT: Apply theorems about Perpendicular Lines Pages 28-34 HW: pages 35-36

Day 5: SWBAT: Prove angles congruent using Complementary and Supplementary Angles Pages 37-42 HW: pages 43-44

Day 6: SWBAT: Use theorems about angles formed by Parallel Lines and a Transversal Pages 45-49 HW: pages 50- 53

Days 7&8: SWBAT: Review writing basic definition proofs Pages: 54-62

DAY 9: Practice Test Pages: 63-68

Day 10: Test

Warm - Up

Day 1 ? Algebraic Proofs

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A proof is an argument that uses logic, definitions, properties, and previously proven statements to show that a conclusion is true. An important part of writing a proof is giving justifications to show that every step is valid.

Example 1: Given: 4m ? 8 = ?12 Prove: m = ?1

2

Example 2:

Given: 8x ? 5 = 2x + 1 Prove: 1 = x

You Try It!

3

You learned in Chapter 1 that segments with equal lengths are congruent and that angles with equal measures are congruent. So the Reflexive, Symmetric, and Transitive Properties of Equality have corresponding properties of congruence.

Example 3

4

You Try It! Example 4: You Try It!

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Challenge

SUMMARY

Exit Ticket 1. 2. 3. 6

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