Geometry
Homework – LAST CHANCE chapter 2 review
Name____________________________
1. Write the following statement in if-then form, the converse, the inverse, and the
contrapositive.
All babies are cute.
2. Use the Law of Syllogism to write the statement that follow from the pair of true
statements.
If you play the clarinet, then you play a woodwind instrument.
If you play a woodwind instrument, then you are a musician.
3. Use the Law of Detachment to make a valid conclusion.
If it is below 65oF outside, then I will need a jacket. It is 59oF.
4. Describe the pattern in the numbers; then find the next three numbers.
-2, 4, -8, 16,…
5. Find a counterexample to disprove the following conjecture.
If the product of two numbers is positive, then the two numbers must both be positive.
6. Let p represent “I study for the test” and let q represent “I will earn an A.”
Write the following symbolic notations into words.
a. p  q
b. q  p
c. ~p  ~q
d. p  q
7. Write a statement about the Venn diagram below.
Animals
Reptiles
Mammals
8. Fill in the blanks with the qualifiers all, no, or some using the Venn diagram below.
Pets
Pets
1. _______ dogs are pets.
Dogs
Dogs
Cats
Pugs
Pugs
2. _______ cats are dogs.
3. _______ pugs are cats.
4. _______ dogs are pugs.