Name__________________________________________ Period________ Date__________________________
2.1-2.3 Review
Note:
If p is the hypothesis of a conditional statement and q is the conclusion, then in notation…
Conditional: 𝑝 → 𝑞 Converse: 𝑞 → 𝑝 Inverse: ~𝑝 → ~𝑞 Contrapositive: ~𝑞 → ~𝑝
Example: If 𝑚 → ~𝑛, then the inverse would be ~𝑚 → 𝑛.
Underline the hypothesis and circle the conclusion of each conditional statement.
1. If today is Monday, then tomorrow is Tuesday.
2. If three points lie on a line, then they are collinear.
3. Write the following conditional in if-then form. Then write the converse, inverse, and contrapositive of
the conditional.
Supplementary angles have a sum of 180°.
If-then form: ______________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Converse: _________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Inverse: ___________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Contrapositive: ___________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
4. Write the following conditional in if-then form. Then write the converse, inverse, and contrapositive of
the conditional.
Quadrilaterals have four sides.
If-then form: ______________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Converse: _________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Inverse: ___________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
Contrapositive: ___________________________________________________________________________________________________
_______________________________________________________________________________________________________________________
5. Determine if the following statements are true. If they are, rewrite them as a biconditional statement.
If two angles are complementary, then they add up to 90°.
If two angles add up to 90°, then they are complementary.
6. Use each given statement as the conditional statement. Write the desired statement using the correct
notation.
a) 𝑔 → ℎ
Inverse: ____________________
b) ~𝑔 → ℎ
Converse: ____________________
c) ℎ → ~𝑔
Contrapositive: ____________________
Use the figure to the right for questions 11-15 to determine whether the given statements are true
or false. If False,
11. Points D, B, and C are coplanar. ____________________
12. Plane EAF is parallel to plane DBC. ____________________
⃡ at point A. ____________________
13. Line m intersects𝐴𝐵
14. ⃡𝐷𝐶 lies in plane DBC. ____________________
15. 𝑚∠𝐷𝐵𝐺 = 90°. ____________________