2.1-2.4 Quiz - Geometric Reasoning

What is the next letter in the sequence? D, H, L, P...

• Q
• R
• S
• T

Which is the counterexample that proves the conjecture false? "If two rays have the same endpoint, then they are opposite rays."

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Identify the hypothesis of the conditional statement "Two angles are complementary if the sum of their measures is 90 degrees."

• If
• Two angles are complementary
• the sum of their measures is 90 degrees
• Two angles are complementary if the sum of their angles is 90 degrees

Which conditional statement has the same truth value as this statement? "The sum of two odd numbers is even"

• If two even numbers are added then their sum is even.
• If an even and odd number are added then their sum is even.
• If two even numbers are multiplies, then their product is odd.
• If two odd numbers are multiplies, then their product is even.

What is the inverse of the statement "If two coplanar lines do not intersect, then they are parallel"?

• If two coplanar lines do not intersect, then they are not parallel
• If two coplanar lines intersect, then they are not parallel
• If two lines are parallel, then they are coplanar and do not intersect
• If two coplanar lines are not parallel, then they intersect

Which conjecture is valid by the Law of Syllogism for the following scenario? "If Joe buys Nancy a card, he will give it to her. If Nancy is having a birthday, then Joe will buy her a card."

• If Nancy is having a birthday, then Joe will give her a card.
• If Joe buys Nancy a card, then she is having a birthday.
• If Joe gives Nancy a card, then he bought the card.
• If Joe gives Nancy a card, then she is having a birthday.

Consider the related biconditional statement for the conditional statement "If Shelly lives in Texas, then she lives in the United States." Which of the following statements is true about the related biconditional statement?

• The biconditional is true because the conditional is true.
• The biconditional is false because the conditional and its converse are false.
• The biconditional is true because the conditional and its converse are true.
• The biconditional is false because the converse of the conditional is false.