Chapter 2.1 - Inductive Reasoning and Conjecturing

Assignment 2.1 / 13, 14-40 even

Chapter 2.2 - If - Then Statements and Postulates

• Write statements in if-then form.
• Write converse, inverse, and contrpositive of an if-then statement.
• Use basic postulates about points, lines, and planes.

Assignment 2.2 / 21-66 * of 3

9/8/04
(We)

Warmup 2.1 & 2.2

1. Given: ABC and CBD form a linear angle.
   Make a conjecture about the angles.
2. Given the statement: Objects with three sides are triangles.
   1. Write the statement as an if-then statement.
   2. Write the converse of the statement.
   3. Write the inverse of the statement.
   4. Write the contrapositive of the statement.
3. Four points are not coplanar and no 3 points are collinear. How many different planes exist?

Chapter 2.3 - Deductive Reasoning

• Use the laws of detachment and syllogism.

Assignment 2.3 / 14-20 even, 23-49 odd

9/9/04
(Th)

Warmup 2.3 - PDF Document

Chapter 2.4 - Using Proof in Algebra

• Use properties of equality in proofs.

Assignment 2.4 / 14-40 even

9/10/04
(Fr)

Review Definitions, Theorems and Postulates

Warmup 2.4 - PDF Document

Proofs
Homework is due Monday!

9/13/04
(Mo)

Chapter 2.5 - Verifying Segment Relationships

• Write proofs involving segment theorems.

Assignment 2.5 / 16-46 even and 33

Warmup 2.5 - PDF Document

Chapter 2.6 - Verifying Angle Relationships

• Write proofs involving angle theorems.

Assignment 2.6 / 15-39 * of 3, 40-50 even

Warmup 2.6

1. Given ABC and CBD form a linear pair, prove m ABC = 180^o - mCBD
2. "If the grass is green, then it has rained."
   a. Write the converse, inverse and contrapositive.
   b. What conclusion can be made from the statement "It has rained."
3. Make a conjecture which is true. Which law is used?
   1. If the light is red, then it will turn green.
      If the light is green, then it will turn yellow.
   2. If ice melts, the temperature is greater than 32^o F.
      The ice is melting.
4. Given FC is perpendicular to EB, prove mABF = 90^o - mEBD.
   

Chapter 2 Review

Assignment 2.R / Pg. 116 / 13, 14, 19, 20, 23, 24, 26-35

Reassessment Problems

2.1 / 15 - 27 odd
2.2 / 22, 25, 28, 31, 34, 37, 40, 43, 46, 49
2.3 / 15-21 odd, 22-32 even
2.4 / 13-29 odd
2.5 / 15-33 odd
2.6 / 16, 19, 22, 25, 28, 31, 34