Download MGN11 Homework _2 - Forest Hills High School

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MGN11 Homework Sheet #2
Homework # 10
What are the Chain Rule and Law of Disjunctive Inference?
What is the conclusion if any given the following statements? Write the law you used to
find the conclusion.
1) ~p→q
2) p˅~q
~p
q
3) p→q
4) p→q
~q
q→r
5) s˅~t
6) e˅w
~s
w
Homework #11
How can we negate Conjunctions and Disjunctions? (DeMorgan’s Law)
1) Write the negation of p˄~q.
2) Write the negation of ~p˅q.
3) What is equivalent to ~ (~p ˄ q)?
4) What is equivalent to ~ (p˅ ~q)?
5) What is logically equivalent to ~k→ w
6) Complete the truth table
p
q
p˅q
~(p˅q)
~p
~q
~p˄~q
Homework #12
How can we apply the laws of logic to proofs?
1) Given: ~r→w
a→g
~r˅a
~g
Prove: w
2) Given: C→T
B→~T
C˅~S
B
Prove:~S
~(p˅q) ↔ ~p˄~q
Homework #13
What are the basic terms and concepts in geometry?
Homework # 14
How do we work with angles (the basics)?
Homework #15
How do we draw perpendiculars and bisectors of segments and how can angles be added?
Homework#16
How do we classify triangles and name their parts?
Homework #17
How do we work with parts of triangles (part 1)?
Homework #18
How do we work with parts of triangles (part 2)?
Homework #19
How do we work with parts of triangles (part 3)?
Homework #20
How do we construct a triangle from its separate sides?
Homework #21
How do we prove triangles congruent (part 1)?
How do we prove triangles congruent (part 2)?
How do we prove triangles congruent ( part 3 practice)?
How do we use addition and subtraction postulates in triangle congruence proofs?
How do we use supplements and complements of angles in proofs?
How do we prove parts of congruent triangles to be congruent?
How do we use the properties of isosceles triangles to prove triangles congruent?
How do we prove overlapping triangles congruent (Part 1)?
How do we prove overlapping triangles congruent (Part 2)?