Review Problems Unit 2 Reasoning and Proof Geometry
Review Problems Unit 2 – Reasoning and Proof Geometry 2 -6
Write each sentence as a conditional statement Today is Monday if yesterday was Sunday. If yesterday was Sunday, then today is Monday. 1 Review Problems
Write each sentence as a conditional statement A number is divisible by 4 if it is divisible by 8. If a number is divisible by 8, then it is divisible by 4. 2 Review Problems
Write each sentence as a conditional statement A student on the high honor roll has at least a 90 average. If a student is on the high honor roll, then the student has at least a 90 average. Bert goes shopping for groceries only on Wednesday. If Bert goes shopping for groceries, then it is Wednesday. 3 Review Problems
For each statement, write the converse, and decide whether the converse is true or false. If George lives in Texas, then he lives in the United States. If George lives in the United States, then he lives in Texas. False If two angles are vertical angles, then they are congruent. If two angles are congruent, then they are vertical angles. False 4 Review Problems
For each statement, write the converse, and decide whether the converse is true or false. If a polygon is a pentagon, then it has five sides. If a polygon has five sides, then it is a pentagon. True If Mary lives in Minneapolis, then she lives in Minnesota. If Mary lives in Minnesota, then she lives in Minneapolis False 5 Review Problems
Show that the conditional statement is false All vegetables are carrots. Broccoli is a vegetable A point may lie on at most two lines. A point may lie on three intersecting lines 6 Review Problems
Give a counterexample that demonstrates that the converse of the statement is false. If you live in Detroit, then you live in Michigan. You could live in Ann Arbor If an animal is a leopard, then it has spots. Dalmations 7 Review Problems
Write the converse of each true statement. If the converse is also true, combine the statements to write a true biconditional statement. If the statement is not true, show that it is false. Converse is false, Point C could be beyond B 8 Review Problems
Write the converse of each true statement. If the converse is also true, combine the statements to write a true biconditional statement. If the statement is not true, show that it is false. 9 Review Problems
Write a conclusion using the true statements. If no conclusion is possible, write no conclusion. If Jay doesn’t work hard, then he won’t start the game and will quit the team. Jay quit the team. no conclusion If two planes intersect, then their intersection is a line. Plane A and plane B intersect in a line. 10 Review Problems
Write a conclusion using the true statements. If no conclusion is possible, write no conclusion. If Hank applies for the job, then he will be the new lifeguard at the pool. If he is the new lifeguard at the pool, then he will buy a new car. Hank applies for the job. Hank will buy a new car. If Tim gets stung by a bee, then he will get very ill. If he gets very ill, then he will go to the hospital. Tim gets stung by a bee. Tim will go to the hospital. 11 Review Problems
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Solve for X 19 Review Problems
Solve for X 20 Review Problems
Solve for X 21 Review Problems
Solve for X 22 Review Problems
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could live in Ann Arbor 1. If yesterday was Sunday, then today is Monday. 7. You Dalmations 2. If a number is divisible by 8, then it is divisible by 4. 8. Converse is false, Point C could be beyond B If a student is on the high honor roll, then the student has at least 90 average. 3. Ifa. Bert 9. goes shopping for groceries, then it is Wednesday. no conclusion George lives in the United States, then he lives in 4. If. Texas. 10. Plane A and plane B intersect in a line. False buy a new car. If two angles are congruent, then they are vertical angles. 11. Hank will Tim will go to the hospital. False a polygon has five sides, then it is a pentagon. 5. If. True 12. If Mary lives in Minnesota, then she lives in Minneapolis 13. False is a vegetable 6. ABroccoli 14. point may lie on three intersecting lines Answers
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