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Name ____________________________________ Period ______ Honors Geometry 2.2 WS
Rewrite the conditional statement in if-then form.
1. A car with leaking antifreeze has a problem.
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2. Don’t say anything at all when you don’t have something nice to say.
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3. You can’t teach an old dog new tricks.
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4. A vein is a blood vessel that carries blood toward the heart.
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The statement is either the converse, the inverse, or the contrapositive of the meaning of a wellknown saying. What is the saying?
5. If you learn things, then use them to make mistakes.
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6. If it isn’t lost easily, then it isn’t gained easily.
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7. If dogs are not lying down, then don’t let them sleep.
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8. If you don’t see something, then you won’t get it.
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For the given statement, write the if-then form, the converse, the inverse, and the contrapositive and
indicate whether each statement is true or false.
9. A circle with a radius of r has a circumference of 2r.
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10. Any two adjacent angles share a common side.
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In a plane, point F lies between points C and D and EF intersects CD so that CFE  DFE.
Decide whether the given statement is true or false.
Draw a picture:
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FC And FE are opposite rays. _________
 CFE and  DFE are adjacent angles. __________
 CFD and  EFD are a linear pair. _________
 CFE and  DFE are a linear pair. __________
 CFE is an obtuse angle. ____________
CD  EF _____________
Rewrite the definition as a biconditional statement.
17. A conditional statement is a logical statement that has two parts, a hypothesis and a conclusion.
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18. A conjecture is an unproven statement that is based on observations.
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19. A counterexample is a specific case for which a given conjecture is false.
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Decide whether the statement is a valid definition.
21. If a figure is an n-gon, then the figure is a polygon with n sides. _________
22. If a polygon is convex, has five sides, and is both equilateral and equiangular, then the polygon is a
regular polygon. _________
23. If a polygon is not convex, then it is a concave polygon. _________