We spent time today in class reviewing the different types of questions that will appear on tomorrows quiz. From algebra proofs to geometric proofs to conditional and biconditional statements, the students had chances to practice each skill in class before getting started on the review sheet. Chapter 2 quiz is tomorrow.
Assignment: Chapter 2 Quiz review sheet
Review Sheet answers
Using Deductive Reasoning
1. hypothesis: line AB intersects line CD at X
conclusion: A, X, and C are coplanar
2. Hypothesis: I finish my homework
conclusion: I can ride my bicycle
3. initial statement: false
Converse: If M is midpoint of segment AB, then AM = MB; converse is true
4. transitive prop. =
5. reflexive prop. =
6. substitution prop. =
7. symmetric prop. =
8. addition prop. =
9. angle bisector theorem
10. segment addition postulate
11. angle addition postulate
12. midpoint theorem
13. definition of angle bisector
Algebra proof #5
-3(x + 2) = 16 - x given
-3x - 6 = 16 - x distributive prop
-6 = 16 + 2x addition prop. =
-22 = 2x subtraction prop. =
-11 = x division prop. =
Algebra proof #7
6(x - 6) = x(16 - 7) given
6x - 36 = 16x - 7x distributive prop.
6x - 36 = 9x combine like terms
-36 = 3x subtraction prop. =
-12 = x division prop. =
Properties of Algebra
1. addition prop. =
2. division prop. =
3. multiplication prop. =
4. subtraction prop. =
5. division prop. =
6. distributive prop.
7. transitive prop. =
8. symmetric prop. =
9. addition prop. =
10. transitive prop. =
11. subtraction prop. =
12. skip
13. skip
14. proof
1. given
2. reflexive
3. addition prop. =
4. segment addition postulate
5. transitive / substitution
Proving Theorems
1. def. of midpoint
2. def. of angle bisector
3. midpoint theorem
4. angle bisector theorem
5. midpoint theorem
6. segment addition postulate
7. angle addition postulate
8. angle addition postulate
9. def. of segment bisector
10. 55
11. 65
12. 80
13. 9
14. 8
15. 4.5
16. 3.5
17. items in a proof
1. given 2. word definitions
3. postulates 4. theorems
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