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GEOMETRY WKST
NAME_________________________________ HR_____
CHAPTER 2 SECTION 3
DATE_____/_____/______ Score:
CIRCLE THE HYPOTHESIS AND UNDERLINE THE CONCLUSION OF EACH STATEMENT.
1. If it is Saturday, then there is no school.
2. If 2x + 6 = 10, then x = 2.
3. If three points lie on a line, then they are collinear.
4. If a polygon has 4 right angles, then the
polygon is a rectangle.
WRITE EACH STATEMENT IN IF-THEN FORM.
5. Math teachers love to solve problems.
__________________________________________________________________________________________
6. Vertical angles are congruent.
__________________________________________________________________________________________
7. Adjacent angles have a common side.
__________________________________________________________________________________________
8. All apes love bananas.
__________________________________________________________________________________________
DETERMINE THE TRUTH VALUE OF THE FOLLOWING STATEMENT FOR EACH SET OF
CONDITIONS.
If it does not rain this Saturday, then we will have a picnic.
9. It rains this Saturday, and we have a picnic.
10. It rains this Saturday, and we don’t have a picnic.
11. It doesn’t rain this Saturday, and we have
a picnic.
12. It doesn’t rain this Saturday, and we don’t
have a picnic.
COMPLETE THE FOLLOWING TABLE OF RELATED CONDITIONALS
conditional statement
hypothesis → conclusion
converse
inverse
contrapositive
WRITE THE CONVERSE, INVERSE, AND CONTRAPOSITIVE OF EACH CONDITIONAL
STATEMENT. DETERMINE WHETHER EACH RELATED CONDITIONAL IS TRUE OR FALSE. IF A
STATEMENT IS FALSE, FIND A COUNTEREXAMPLE.
13. If you exercise regularly, then you are in good shape.
Converse:_________________________________________________________________________ T/F_____
Inverse:___________________________________________________________________________ T/F_____
Contrapositive:_____________________________________________________________________ T/F_____
14. If you live in Dallas, then you live in Texas.
Converse:_________________________________________________________________________ T/F_____
Inverse:___________________________________________________________________________ T/F_____
Contrapositive:_____________________________________________________________________ T/F_____
15. If two angles are complementary, then the sum of their measures is 90 degrees.
Converse:_________________________________________________________________________ T/F_____
Inverse:___________________________________________________________________________ T/F_____
Contrapositive:_____________________________________________________________________ T/F_____
16. If a polygon is a rectangle, then it is a square.
Converse:_________________________________________________________________________ T/F_____
Inverse:___________________________________________________________________________ T/F_____
Contrapositive:_____________________________________________________________________ T/F_____
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