Chapter 2 test is tomorrow in class.
Assignment: Chapter 2 review packet
Answers posted below:
Deductive
Reasoning Worksheet
1. a. they are right angles
b.
vertical angles are supplementary
c. If vertical angles are supplementary, then they are right
angles
2. 90 degrees
3. 22 degrees
4. 53 degrees
5. mÐDFE
6. angle bisector theorem
7. Midpoint theorem
8. Multiplication property of equality
9. If 2 lines form congruent adjacent angles, then the lines are
perpendicular
10. If the exterior sides of 2 adjacent acute angles are
perpendicular, then the angles are complementary
11. Proof steps
1. Given
2. Vertical angles are congruent
3. Transitive property
Algebra Proof Steps
1. (2x + 8) / 5 = x - 2
Given
2. 2x + 8 = 5(x - 2)
Multiplication Prop. =
3. 2x + 8 = 5x - 10
Distributive Prop.
4. 8 = 3x - 10
Subtraction Prop. =
5. 18 = 3x
Addition
Prop. =
6. 6 = x
Division Prop. =
Intersecting Line Proof
1. Given
2. Addition Prop. =
3 Segment Addition Post.
4. Transitive
Midpoint of Segment Proof
1. Given
2. Def. of Midpoint
3. Def. of Congruence
4. Segment Addition Postulate
5. Substitution
6. Simplify
7. Division Property =
8. Substitution
Angle Addition Proof
1. Given
2. Angle Addition Postulate
3. Substitution
4. Angle Addition Postulate
5. Transitive / substitution
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