Transcript to file
Jeopardy Chapter Two Review Section 2.1 : Conditional Statements Section 2.2 : Biconditional Statements Section 2.3 : Symbolic Notation Section 2.4 : Reasoning with Properties from Algebra Section 2.5 & 2.6 : Proving Statements about Segments and Angles 2.1 2.2 2.3 2.4 2.5&2.6 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Section 2.1 for 100 Rewrite the following statement in if-then form: “All right triangles have an angle with a measure of 90 degrees.” Back to Main Page Section 2.1 for 200 “If I get a chance then I will succeed.” In this conditional statement, the underlined portion is the??? Back to Main Page DAILY DOUBLE Section 2.1 for 300 Decide which one of the following is false: A. A line contains at least two points B. Through any two distinct points there exists exactly one line. C. Three non-collinear points determine a plane. D. Any three points lie on a distinct line. Back to Main Page Section 2.1 for 400 Complete the following statement as stated by the Point, Line, and Plane Postulates: A line ______ contains at least _____ points. Back to Main Page Section 2.1 for 500 Write the Converse of the following statement: “If x² = 25, then x = -5.” Is the Statement True? Is the Converse True? Back To Main Page Section 2.2 for 100 State a counterexample to the following definition: A circle is a figure that is round. Back to Main Page Section 2.2 for 200 True or False: Segment DC is parallel to Segment BF. B D F C Back to Main Page Section 2.2 for 300 The figure below represents two rays that are?? Back To Main Page Section 2.2 for 400 Two lines are perpendicular if and only if they intersect to form a right angle. A. Is this a biconditional statement? B. Is the statement true? Back to Main Page Section 2.2 for 500 Write the converse of the true statement and decide whether the converse is true or false. If the converse is true, combine it with the original statement to form a true biconditional statement. If the converse is false state a counterexample. If a ray bisects an angle, then it divides the angle into two congruent angles. Back to Main Page Section 2.3 for 100 Given that: • No people who give assignments are friendly. • All instructors make assignments. What Conclusion can be logically induced? Back to Main Page Section 2.3 for 200 Assuming the first two statements are true, is the following conclusion valid or invalid? If valid, by which law: the Law of Detachment or the Law of Syllogism? ~p~q ~p Conclusion: ~q Back to Main Page Section 2.3 for 300 Is the following an example of inductive or deductive reasoning? The last 12 times that a famous person was married, a third famous person was married within a week. Two famous people were married yesterday. Another famous person will be married within a week. Back to Main Page Section 2.3 for 400 From the given true statements, make a valid conclusion. Then state whether you are using the Law of Detachment or the Law of Syllogism. ~v~w ~v Back to Main Page DAILY DOUBLE Section 2.3 for 500 Write the following symbolic statement in conditional or biconditional form and determine whether the statement is true or false. Then write the contrapositive in symbolic form and determine whether it is true or false. pq p= two planes intersect q= the intersection is a line Back to Main Page Section 2.4 for 100 Which of the following is an example of the reflexive property?? A. If x+3 = y and y = -4, then x+3 = -4. B. If x=3, then x-4 = 3-4. C. If y=x-4, then x-4=y. D. x+3 = x+3. Back to Main Page Section 2.4 for 200 Explain what is required to disprove a conditional (if-then) statement. Back to Main Page Section 2.4 for 300 Identify the property of congruence. <B <B. Back to Main Page Section 2.4 for 400 If PQ = 3 and PQ + RS = 5, then 3 + RS = 5 is an example of what property of equality? Back to Main Page DAILY DOUBLE Section 2.4 for 500 You want to know the number of minutes that you can use on your $40.00 phone card. The card company charges you $0.25 for the first minute and $0.10 for each additional minute. Solve the formula $40.00=$0.25+$0.10m for m. Justify each step with an algebraic property of equality. Back to Main Page Section 2.5 & 2.6 for 100 <1 and <2 are a linear pair. If m>2 = 67°, then find m>1. Back to Main Page Section 2.5 & 2.6 for 200 <1 and <2 are supplementary angles. <1 and <3 are vertical angles. If m<2 = 72°, then find the m<3. Back to Main Page Section 2.5 & 2.6 for 300 Write the conclusion to be drawn from the given information. An isosceles triangle has two congruent sides. In Triangle LMN, Segment LM is congruent to Segment MN. Back to Main Page Section 2.5 & 2.6 for 400 Give the reason for the step taken from a proof. <1 and <2 are a linear pair. Given <1 and <2 are supplementary. ?? Back to Main Page DAILY DOUBLE Section 2.5 & 2.6 for 500 Provide the reasons for the following proof. Given: BC=CD and AB=DE Prove: AC=CE A B C D Statements BC=CD and AB=DE BC+AB = CD+AB BC+AB=AC, CD+DE = CE AC=CE E Reasons ??? ??? ??? ??? Final Jeopardy! If <1 is congruent to <3, <4 is supplementary to <1, and if <2 and <3 are also supplementary, show that <4 is congruent to <2.