Geometry
Review – Chapter 2
Name ___________________________
For Questions 1-3,
a) write the converse
b) tell if the converse if true or false
c) if true, write the biconditional statement
if false, give a counterexample.
1. If you are a teenager, then you are younger than 20.
a.
converse _________________________________________________________________________________________
b.
true or false __________
c.
biconditional or counterexample _______________________________________________________________________
2. If an angle is obtuse, then its measure is greater than 90 and less than 180.
a.
converse _________________________________________________________________________________________
b.
true or false __________
c.
biconditional or counterexample _______________________________________________________________________
3. If a figure is a square, then it has four sides..
a.
converse _________________________________________________________________________________________
b
true or false __________
c..
biconditional or counterexample _______________________________________________________________________
For Questions 4-7, use the given property to complete each statement.
4. Symmetric Property of Equality. If XY = RS, then ____________________________.
5. Reflexive Property of Equality. m  Y = ________________.
6. Division Property of Equality. If 2x = 100, then _____________.
7. Transitive Property of Equality. If x = 5 and 5 = y, then x = ___________.
8. Write the biconditional as two statements, a conditional and it converse.
Two angles are complementary if and only if the sum of their measures is 90 degrees.
Conditional ____________________________________________________________________________________________
Converse ______________________________________________________________________________________________
9.
Use the diagram at the right to find the measure of each angle.
a.
b.
c.
d.
Find the value of x.
10.
11.
12.
For Questions 13-16, use the rules of logic to make a conclusion.
13. If you practice table tennis every day, you will become a better player.
Lucy practices table tennis every day.
Conclusion ____________________________________________________________________________________________
14. If Kate studies, she will get good grades.
If Kate gets good grades, she will graduate.
Conclusion ____________________________________________________________________________________________
15. If James and John appear together, they are in a rock band.
James and John are not in a rock band.
Conclusion ____________________________________________________________________________________________
16. Steve or Mike dropped the winning touchdown pass.
Mike did not drop the winning touchdown pass.
Conclusion ______________________________________________________________________________________________
For Questions 17-19, explain why each statement is not a good definition.
17. A pencil is writing instrument. __________________________________________________________________________
18.
Richard defines a book as something you read. _____________________________________________________________
19. Spiders have 8 legs. ___________________________________________________________________________________
20. Fill in the reason that justifies each step.
Given. QS = 42
1. QR + RS = QS
1. _______________________
2. x + 3 + 2x = 42
2. _______________________
3. 3x + 3 = 42
3. ________________________
4. 3x = 39
4. _______________________
5. x = 13
5. ______________________
21. Fill in the reason that justifies each step.
1. 2(x + 5) + 5x = 17
1. Given
2. 2x + 10 + 5x = 17
2. ______________________
3. 7x + 10 = 17
3. ______________________
4. 7x = 7
4. _____________________
5. x = 1
5. ____________________