Question

1. how do you write the converse of a conditional statement? a) negate and reverse the hypothesis and conclusion b) reverse the hypothesis and conclusion c) negate the hypothesis and conclusion d) take it to journeys and buy the converses. 10. original: if i have a siberian husky, then i have a dog. what is this? if i have a dog, then i have a siberian husky. a) conditional b) converse c) contrapositive d) inverse 11. negating both the hypothesis and conclusion of the original conditional is the ...... a) converse b) conditional c) contrapositive d) inverse 12. negating both the hypothesis and conclusion of the converse of the conditional is the ... a) conditional b) contrapositive c) inverse d) converse 13. original: if angles are congruent, then the measures of the angles are equal. what is this? if angles are not congruent, then the measures of the angles are not equal. a) converse b) conditional c) inverse d) converse 14. original: if jenny buys a guitar, then she will not buy a keyboard. what is this? if jenny does buy a keyboard, then she will not buy a guitar. a) contrapositive b) negation c) converse d) inverse

Explanation:

• Question 9: The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, if the original is "If p then q", the converse is "If q then p".
• Question 10: Given "If I have a Siberian Husky, then I have a dog", the statement "If I have a dog, then I have a Siberian Husky" is the converse as we reversed the hypothesis and conclusion.
• Question 11: Negating both the hypothesis and conclusion of the original conditional gives the inverse.
• Question 12: First, find the converse of the conditional. Then negating both its hypothesis and conclusion gives the contrapositive.
• Question 13: "If angles are not congruent, then the measures of the angles are not equal" is the inverse of "If angles are congruent, then the measures of the angles are equal" as we negated both parts.
• Question 14: "If Jenny does buy a keyboard, then she will not buy a guitar" is the contrapositive of "If Jenny buys a guitar, then she will not buy a keyboard" as we first reversed and then negated both parts.

Answer:

1. b) Reverse the hypothesis and conclusion
2. b) Converse
3. d) inverse
4. b) contrapositive
5. c) Inverse
6. a) Contrapositive