Jeopardy $100 Inductive and Deductive Reasoning Conditional Statements Postulates & Diagrams Properties Segments & Angle Pair Relationship $200 $300 $400.

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Presentation transcript:

Jeopardy $100 Inductive and Deductive Reasoning Conditional Statements Postulates & Diagrams Properties Segments & Angle Pair Relationship $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy Final Jeopardy

1 - $100 Describe the pattern in the numbers: Describe the pattern in the numbers: , -5120, -1280, -320, …. Find the next three numbers

1 - $200 Sketch the next figure in the pattern. Sketch the next figure in the pattern. Answer: Answer:

1 - $300

1 - $400 Use the Law of Syllogism to make valid conclusion: Use the Law of Syllogism to make valid conclusion: If you wear school colors, then you have school sprit. If you have school sprit, then the team feels great. If you wear school colors, then you have school sprit. If you have school sprit, then the team feels great. If you wear the school colors, then the team will feel great. If you wear the school colors, then the team will feel great.

1 - $500 Show the conjecture is false by finding a counterexample: The square roof of number x is always less than x Show the conjecture is false by finding a counterexample: The square roof of number x is always less than x

2 - $100 Fill out the table: Fill out the table: Answer: Answer: Conditional: If X, then Y. Contrapositive: If not Y, then not X. Converse: If Y, then X. Inverse: If not X, then not Y. Conditional:Contrapositive: Converse:Inverse:

2 - $200 Write the if-then form and converse from the following statement: “Black bears live in North America” Write the if-then form and converse from the following statement: “Black bears live in North America” If-then: If a bear is black, then it lives in North America. If-then: If a bear is black, then it lives in North America. Converse: If a bear lives in North America, then it is a black bear. Converse: If a bear lives in North America, then it is a black bear.

2 - $300 Write the inverse form and contrapositive from the following statement: “Black bears live in North America” Write the inverse form and contrapositive from the following statement: “Black bears live in North America” Inverse: If a bear is not black, then it does not live in North America. Inverse: If a bear is not black, then it does not live in North America. Contrapositive: If a bear does not live in North America, then it is not a black bear. Contrapositive: If a bear does not live in North America, then it is not a black bear.

2 - $400 Rewrite the bi-conditional statement as a conditional statement and its convers: Rewrite the bi-conditional statement as a conditional statement and its convers: A point is a midpoint of a segment iff it divides the segment into two congruent segments. A point is a midpoint of a segment iff it divides the segment into two congruent segments. Conditional: If a point is a midpoint of a segment, then it divides the segment into two congruent segments. Conditional: If a point is a midpoint of a segment, then it divides the segment into two congruent segments. Convers: If a point divides a segment into two congruent segments, then the point is the midpoint of segment. Convers: If a point divides a segment into two congruent segments, then the point is the midpoint of segment.

2 - $500 Write the converse of each true statement. If converse is also, true than write the biconditional statement. Write the converse of each true statement. If converse is also, true than write the biconditional statement. If two circles have the same diameter, then they have the same circumference. If two circles have the same diameter, then they have the same circumference. Convers: If two circles have the same circumference, then they have the same diameter. Convers: If two circles have the same circumference, then they have the same diameter. True True Bi-Conditional: Two circles have the same circumference, iff they have the same diameter. Bi-Conditional: Two circles have the same circumference, iff they have the same diameter.

3 - $100 Draw a sketch to illustrate: Postulate 6 Draw a sketch to illustrate: Postulate 6 A line contains at least two points A line contains at least two points Answer: Answer:

3 - $200 Answer: Answer:

3 - $300 Write an example of postulate 2 (Segment Addition Write an example of postulate 2 (Segment Addition

3 - $400 Finish and name the postulate: that two angles from a linear pair, then they are ___________ Finish and name the postulate: that two angles from a linear pair, then they are ___________ Supplementary and postulate 12 Supplementary and postulate 12

3 - $500 Answer: Answer:

4 - $100 State the reflexive, symmetric, and transitive property State the reflexive, symmetric, and transitive property Reflexive: a = a Reflexive: a = a Symmetric: If a = b, then b = a Symmetric: If a = b, then b = a Transitive: If a = b, b = c, then a = c Transitive: If a = b, b = c, then a = c

4 - $200 Explain why all algebraic properties hold for segments and angles. Explain why all algebraic properties hold for segments and angles. Because segments lengths and angles measures are real numbers Because segments lengths and angles measures are real numbers

4 - $300 When you are trying to prove that two segments are congruent or two angles are congruent what property will you most likely use? When you are trying to prove that two segments are congruent or two angles are congruent what property will you most likely use? Transitive Property Transitive Property

4 - $400

4 - $500 Show that the perimeter of triangle ABC is equal to the perimeter of triangle ADC Show that the perimeter of triangle ABC is equal to the perimeter of triangle ADC AD = AB, DC = BCGiven AD = AB, DC = BCGiven AC= AC Reflexive P. AC= AC Reflexive P. AD + DC = AB + DCAddition P. of E. AD + DC = AB + DCAddition P. of E. AD + DC = AB + BCSubstitution P. AD + DC = AB + BCSubstitution P. AD + DC + AC = AB + BC + ACAddition P. of E. AD + DC + AC = AB + BC + ACAddition P. of E.

5 - $100

5 - $200

5 - $300

5 - $400 Given Angle Addition Postulate Substitution P. Combine like terms Addition P. of E. Division P. of E.

5 - $500 StatementReason 1) Given 2) def. of complementary angles 3) Transitive P. 4) Subtraction P. of E. 5) Def. of angle congruence

Final Jeopardy C