1. Proof Jeopardy

2. Conditionals
Algebraic Proofs
Geometric Proofs
Postulates
Properties
Theorems
Definitions
100
100
100
100
200
200
200
200
300
300
300
300
400
400
400
400

3. Another name for an “if-then” statement is…
Question:
Another name for an “if-then” statement is…
Answer:
Conditional Statement
100

4. Hypothesis; Conclusion
Question:
Everything after the word if is called the ____________, and everything after the word then is called the _____________.
Answer:
Hypothesis; Conclusion
200

5. Turn the following statement into a conditional: All CD’s are round.
Question:
Turn the following statement into a conditional:
All CD’s are round.
Answer:
If it is a CD, then it is round.
300

6. If Susan wins Proofs Jeopardy, then she will make an A on my test.
Question:
What is the converse of the following statement:
If Susan wins Proofs Jeopardy, then she will make an A on my test.
Is the converse true or false?
If false, state a counterexample.
Answer:
If Susan makes an A on my test, then she won Proofs Jeopardy.
False
Susan makes an A, but did not win Jeopardy.
400

7. Name 5 properties that might be used as reasons in an Algebraic Proof.
Question:
Name 5 properties that might be used as
reasons in an Algebraic Proof.
Answer:
Choose 5: Addition Property of Equality, Subtraction P.O.E., Multiplication P.O.E., Division P.O.E., Distributive P.O.E., Symmetric P.O.E., Reflexive P.O.E., Substitution P.O.E., Transitive P.O.E.
100

8. What are the next statement and reason for the following proof:
Question:
What are the next statement and reason for the following proof:
Statements
Reasons
4= 𝑚+2 6
𝐺𝑖𝑣𝑒𝑛
Answer:
Statement: 24=𝑚+2 Reason: 𝑀𝑢𝑙𝑡𝑖𝑝𝑙𝑖𝑐𝑎𝑡𝑖𝑜𝑛 𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑦 𝑜𝑓 𝐸𝑞𝑢𝑎𝑙𝑖𝑡𝑦
200

9. Question: List all corrections needed for the following proof:
𝐼𝑓 21=7 𝑝−3 , 𝑡ℎ𝑒𝑛 𝑝=6.
Statements
Reasons
1. 21=7 𝑝−3
Given
2. 𝑝=6
3. 21=7𝑝−21
3. Multiplication P.O.E.
4. 0=7𝑝
4. Addition P.O.E.
5. 𝑝=0
5. Division P.O.E.
Answer:
#2 statement and reason should be taken out
Reason #3 should be Distributive Property of Equality (written out)
Statement #4 should be 42=7𝑝
Statement #5 should be 6=𝑝
Add in #6 statement: 𝑝=6, and #6 reason: Symmetric P.O.E.
300

10. Write either a flowchart or 2-column proof for the following:
Question:
Write either a flowchart or 2-column proof for the following:
𝐼𝑓 15= 𝑤−6 2 , 𝑡ℎ𝑒𝑛 𝑤=36.
Answer:
Statements
Reasons
1. 15= 𝑤−6 2
Given
2. 30=𝑤−6
Multiplication Property of Equality
3. 36=𝑤
3. Addition P.O.E.
4. 𝑤=36
4. Symmetric P.O.E.
36=𝑤
30=𝑤−6
15= 𝑤−6 2
𝑤=36
Given
Multiplication
Property of Equality
Addition P.O.E.
Symmetric P.O.E.
400

11. Identify the next reason for the following proof
Question:
Identify the next reason for the following proof
Statements
Reasons
1. 𝐴𝐵𝐶≅𝐷𝐸𝐹
Given
2. 𝑚𝐴𝐵𝐶=𝑚𝐷𝐸𝐹
Answer:
Definition of Congruent Angles
100

12. Question: Fill in the following 2-column proof
𝑮𝑯=𝟑𝑭𝑮
Given
𝑯𝑱=𝟐𝑭𝑮
Reflexive Property of Equality
Segment Addition Postulate
𝑭𝑱=𝑭𝑮+𝟑𝑭𝑮+𝟐𝑭𝑮
𝑭𝑱=𝟔𝑭𝑮
Addition P.O.E.
Answers: See answers above.
200

13. Question: Make corrections to the following proof.
Reasons
Statements
1. 2 𝑎𝑛𝑑3 𝑎𝑟𝑒 𝑠𝑢𝑝𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦
1. Given
2. 𝑚2+𝑚3=90°
2. Complementary Angles Property
3. 1=3
3. Given
1= 3
4. Definition of Congruent Segments
5. 𝑚2+𝑚3=180°
5. Substitution Property of Congruence
6. 2 𝑎𝑛𝑑1 𝑎𝑟𝑒 𝑐𝑜𝑛𝑔𝑟𝑢𝑒𝑛𝑡
6. Definition of Congruent Angles
Answers: See answers above.
300

14. Question: Write a 2-column or flowchart proof for the following
𝐼𝑓 𝑚𝑃𝑄𝑅=4𝑥 𝑎𝑛𝑑 𝑚𝑅𝑄𝑆=2𝑥, 𝑡ℎ𝑒𝑛 𝑚𝑃𝑄𝑆=6𝑥.
Answer:
Statements
Reasons
1. 𝑚𝑃𝑄𝑅=4𝑥
Given
2. 𝑚𝑅𝑄𝑆=2𝑥
3. 𝑚PQR+𝑚𝑅𝑄𝑆=𝑚𝑃𝑄𝑆
3. Angle Addition Postulate
4. 4𝑥+2𝑥=𝑚𝑃𝑄𝑆
4. Substitution Property of Equality
5. 6𝑥=𝑚𝑃𝑄𝑆
5. Addition P.O.E.
6. 𝑚𝑃𝑄𝑆=6𝑥
6. Symmetric P.O.E.
400

15. Multiplication Property of Equality
Question:
Identify the postulate, property, theorem, or definition that best fits
𝐼𝑓 𝑒 3 =7, 𝑡ℎ𝑒𝑛 𝑒=21
Answer:
Multiplication Property of Equality
100

16. 𝐼𝑓 𝑚𝑅𝐿𝑀=90°, 𝑎𝑛𝑑 90°=𝑚3, 𝑡ℎ𝑒𝑛 𝑚𝑅𝐿𝑀=𝑚3.
Question:
Identify the postulate, property, theorem, or definition that best fits
𝐼𝑓 𝑚𝑅𝐿𝑀=90°, 𝑎𝑛𝑑 90°=𝑚3, 𝑡ℎ𝑒𝑛 𝑚𝑅𝐿𝑀=𝑚3.
Answer:
Transitive Property of Equality
200

17. Identify the reasons that best fit
Question:
Identify the reasons that best fit
Statements
Reasons
1. 1 𝑎𝑛𝑑2 𝑓𝑜𝑟𝑚 𝑎 𝑙𝑖𝑛𝑒𝑎𝑟 𝑝𝑎𝑖𝑟𝑠 1.
2. 1 𝑎𝑛𝑑2 𝑎𝑟𝑒 𝑠𝑢𝑝𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦 2.
3. 𝑚1+𝑚2=180° 3.
Answer:
Given
Linear Pairs are Supplementary
Definition of Supplementary Angles
300

18. Segment Addition Postulate
Question:
Given the following information, what postulate, property, theorem and you most likely going to use.
𝐼𝑓 𝐺𝑀=10 𝑎𝑛𝑑 𝐺𝐶=27, 𝑡ℎ𝑒𝑛 𝑀𝐶=17.
Answer:
Segment Addition Postulate
400