Download Geometry Name

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. Substitution Property of Equality. If LM = 7 and EF + LM = NP, then ________ = NP?
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. <GOE
c.
d.
e.
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
a) QS = 42
1. QR + RS = QS
a) Given
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. ______________________
Geometry
Answers Review Chapter 2
1a. If you are younger than 20, then you are a teenager.
1b. False
1c. example - a 5 year old girl is not a teenager.
2a. If an angle has measure greater than 90 and less than 180, then it is obtuse.
2b. True
2c. An angle is obtuse if and only if it has a measure greater than 90 and less than 180.
3a. If a figure has 4 sides, then it is a square.
3b. False
3c. Example – it could be a kite.
4.
5. m  Y
RS = XY
6. EF + 7
7. y
o
8. If two angles are complementary , then the sum of their measures is 90 .
o
If the sum of the measures of two angles is 90 , then the angles are complementary.
9a. 38
9b. 52
9c. 26
10. 50
9d. 154
9e. 128
11. 4
12. 13.5
13.
Lucy will become a better player.
14. If Kate studies, then she will graduate.
15. James and John did not appear together.
16. Steve dropped the wining touchdown pass.
17. The converse is false. A pen is a counterexample.
18. The converse is false. A counterexample of something you read is a magazine.
19. The converse is false. An octopus is a counterexample.
20.
a)
1.
2.
3.
4.
5.
Given
segment addition
substitution
combine like terms
subtraction property
division property
21.
1. Given
2. distributive property
3. combine like terms
4. subtraction property
5. division property