Jeopardy Conditional Statements Biconditional Statements Deductive Reasoning Reasoning in Algebra Proving Angles Congruent Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

$100 Question from Conditional Statements How do you say, “p  q”?

$100 Answer from Conditional Statements “If p, then q.

$200 Question from Conditional Statements What is the hypothesis in the statement, “If something is a tiger, then it is an animal.”?

$200 Answer from Conditional Statements Something is a tiger

$300 Question from Conditional Statements Find a counterexample for the statement, “If you live in North Carolina, then you live in Raleigh.

$300 Answer from Conditional Statements Many examples. Sanford Charlotte Greensboro Any NC city….

$400 Question from Conditional Statements Write the converse for the statement: “If you do not work, then you do not get paid.”

$400 Answer from Conditional Statements If you do not get paid, then you do not work.

$500 Question from Conditional Statements Write the converse of this statement and then write if it is true or false. “If two angles have measure 90, then the angles are congruent.”

$500 Answer from Conditional Statements Converse: If two angles are congruent, then they have measure 90. The converse is FALSE.

$100 Question from Biconditional Statements How do you read, “p  q”?

$100 Answer from Biconditional Statements P if and only if q.

$200 Question from Biconditional Statements If possible, rewrite this statement as a biconditional, “In the U.S., if it is July 4 th, then it is Independence Day.” If it is not possible, explain why.

$200 Answer from Biconditional Statements In the U.S., it is Independence Day if and only if it is July 4 th.

$300 Question from Biconditional Statements If possible, rewrite this statement as a Biconditional: “If x = 10, then x 2 = 100.” If it is not possible, explain why.

$300 Answer from Biconditional Statements It is not possible because x could equal -10.

$400 Question from Biconditional Statements Is this a good definition: “A cat is an animal with whiskers.” Why or why not?

$400 Answer from Biconditional Statements Bad definition. There are many animals with whiskers, not just cats.

$500 Question from Biconditional Statements a.) Write the converse and b.) determine the truth value of the conditional and its converse. c.) If both statements are true, write a biconditional. “If you are a teenager, then you are younger than 20.”

$500 Answer from Biconditional Statements Converse: If you are younger than 20, then you are a teenager. Conditional: True Converse: False

$100 Question from Deductive Reasoning Name the theorem/postulate/law: “If p  q and q  r are true statements, then p  r is a true statement.

$100 Answer from Deductive Reasoning Law of Syllogism

$200 Question from Deductive Reasoning If possible, state a conclusion using the Law of Syllogism. If it is not possible to use the law, explain why. “If a number ends in 6, then it is divisible by 2. If a number ends in 4, then it is divisible by 2.”

$200 Answer from Deductive Reasoning Not possible. The conclusion of one statement is not the hypothesis of the other statement.

$300 Question from Deductive Reasoning TRUE or FALSE? Angle R is congruent to Angle P.

$300 Answer from Deductive Reasoning FALSE

$400 Question from Deductive Reasoning Use the Law of Syllogism to make a conclusion. “If Kate studies, she will get good grades. If Kate gets good grades, then she will graduate.”

$400 Answer from Deductive Reasoning If Kate studies, then she will graduate.

$500 Question from Deductive Reasoning Use the Law of Syllogism to make a conclusion. “If a, then b. If b, then c.”

$500 Answer from Deductive Reasoning If a, then c.

$100 Question from Reasoning in Algebra Name the property: If a = b, then b can replace a in any expression.

$100 Answer from Reasoning in Algebra Substitution Property

$200 Question from Reasoning in Algebra Angle ABC is 70 degrees. Find x. 4x x A B C

$200 Answer from Reasoning in Algebra X = 10

$300 Question from Reasoning in Algebra AC = 21. Solve for y. ABC 2y3y - 9

$300 Answer from Reasoning in Algebra Y = 6

$400 Question from Reasoning in Algebra Name the property: AB is congruent to AB.

$400 Answer from Reasoning in Algebra Reflexive Property of Congruence

$500 Question from Reasoning in Algebra Find the length of XY. Y is the midpoint of XZ. X YZ 7a a + 27

$500 Answer from Reasoning in Algebra 7

$100 Question from Proving Angles Congruent What are the vertical angles in the diagram?

$100 Answer from Proving Angles Congruent 1 and 3 OR 2 and 4

$200 Question from Proving Angles Congruent What pair of angles are adjacent angles?

$200 Answer from Proving Angles Congruent 1 and 2 OR 2 and 3 OR 3 and 4 OR 1 and 4

$300 Question from Proving Angles Congruent Find the value of x. 4x (3x + 35)

$300 Answer from Proving Angles Congruent x = 35

$400 Question from Proving Angles Congruent Find the measurement of the top angle. 3x x + 30

$400 Answer from Proving Angles Congruent 84

$500 Question from Proving Angles Congruent If two angles are congruent and supplementary, then each is a(n) ___________________ angle.

$500 Answer from Proving Angles Congruent Supplementary

Final Jeopardy Fill in the reason that justifies each step. Given: QS = 42 QR + RS = QS a. ___ X x = 42 b.___ 3x + 3 = 42 c. ___ 3x = 39 d. ___ x = 13 e.___ QRS x + 32x

Final Jeopardy Answer a.Segment Addition Postulate b.Substitution Property c.Simplify d.Subtraction Property of Equality e.Division Property of Equality