Download Geometry: 2

Geometry: 2.1 – 2.3 Conditionals Worksheet
Name _______________________
I. State the hypothesis and conclusion for each statement.
1. If you are funny, then you will make people laugh.
2. If a point is in the interior of an angle, then it cannot be in its exterior.
3. If A is between B and C, then A, B, and C are collinear.
II. Assume the statements are true. Write the conclusion of each syllogism (in “if-then” form).
4a. If a fish weighs over 2000 lbs, then it is the largest species of fish.
If a fish is the largest species of fish, then it is a great white shark.
4b. If John visits Greensboro, then he will go to Emerald Point.
If John goes to Emerald Point, then he will swim.
III. Write a conditional with the given hypothesis and conclusion.
5. Hypothesis: A number is prime.
Conclusion: The number has exactly two divisors.
6. Hypothesis: Four points are in one plane.
Conclusion: The points are coplanar.
7. Hypothesis: A man lives in Houston.
Conclusion: He lives in Texas.
IV. Write each statement as a conditional. Then determine if it is true or false.
8. A line which bisects a segment contains the midpoint of the segment.
9. Collinear points are points that lie on the same line.
10. All left handed people are male.
11. All acute angles are congruent.
V. Write the converse of each statement. Then determine if the converse is true.
12. If you are 35 years old, then you may run for president.
13. If A is acute, then mA  135 .
14. If two angles each measure 30°, then they are congruent.
15. If y < 5, then y ≠ 6.
VI. Write the converse, inverse, and contrapositive of each statement.
16. If a person is swimming, then that person gets wet.
17. If the sun is not shining, then we will go to the movies.
18. If two angles have the same measure, then they are congruent.
19. If not p, then q.
20. If B is between A and C, then AB  BC  AC
21. If you are not 21 years old or older, then you cannot legally vote.
22. If two lines are parallel, then they are not intersecting lines.
23. If mE  mF , then E  F .
VII. Give a counterexample to show that the given conditional is false.
24. If three points are coplanar, then they are collinear.
25. If two angles are acute, then they are congruent.
VIII. Write a conditional statement that describes each figure. Then write its converse. Is the
converse true?
26.
N
27.
J
X
L
I
M
N