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Geometry worksheet focusing on conditional statements and logical reasoning.

Worksheet on conditional statements in geometry, including exercises on identifying hypotheses and conclusions, writing conditionals, analyzing Venn diagrams, determining truth values, and forming converses, inverses, and contrapositives.

Worksheet on conditional statements in geometry, including exercises on identifying hypotheses and conclusions, writing conditionals, analyzing Venn diagrams, determining truth values, and forming converses, inverses, and contrapositives.

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Show Answer Key & Explanations Step-by-step solution for: 2 2 Conditional Statements Assignment PDF | PDF | Logic | Geometry
5. Hypothesis: you are an American citizen; Conclusion: you have the right to vote
6. Hypothesis: a figure is a rectangle; Conclusion: it has four sides
7. Hypothesis: you want to be healthy; Conclusion: you should eat vegetables
9. If 3x - 7 = 14, then 3x = 21.
12. If a point is in the first quadrant, then it has two positive coordinates.
13. (Conditional statement based on Venn diagram 13)
14. (Conditional statement based on Venn diagram 14)
15. (Conditional statement based on Venn diagram 15)
16. True
17. False; Counterexample: Mexico borders the United States.
18. False; Counterexample: You could play cricket or softball.
19. True
20. Converse: If you play football, then you are a quarterback. (False)
Inverse: If you are not a quarterback, then you do not play football. (False)
Contrapositive: If you do not play football, then you are not a quarterback. (True)
21. If a person is a pianist, then they are a musician. (True)
Converse: If a person is a musician, then they are a pianist. (False)
Inverse: If a person is not a pianist, then they are not a musician. (False)
Contrapositive: If a person is not a musician, then they are not a pianist. (True)
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