Geometry
Test Chapter 2 Make-Up
Name ___________________________
For the follwoing statement, (a) write the converse, (b) tell if the the converse is true or false. (c) If true, write a
biconditional. If false, write a counterexample.
1. If it is Halloween, then it is October 31.
a) converse:_________________________________________________________________________________________
__________________________________________________________________________________________
b) True or False:_____________
c) biconditional or counterexample:______________________________________________________________________
___________________________________________________________________________________________________
2. Write the contrapositive of the following statement
If Walter drives over the speed limit, then he is breaking the law.
For Exercises 3-5 , name the property that justifies each statement.
x  4  10 ,
x  6 . __________________________
3.
5.
4. 20 x  60
x3
__________________________
__________________________
6. By the Transitive Property of Congruence,
If TQS  ABC and , ABC  25 then ______________________
7. Use the diagram at the right to find the measure of each angle.
a.
=____________
b.
=____________
c.
=____________
d.
=____________
e.
=____________
f.
= ____________
For Exercises 8-10, find the value of x in each diagram.
8.
9.
10.
For Exercises 11 - 13, use deductive reasoning to draw any possible conclusions. Write not possible if you cannot draw
any conclusions.
11.
If an animal is a snake, then it is a reptile.
“Gordon” is a reptile.
Conclusion__________________________________________________________________________________________
12.
If Susan gets a hit this inning, then we will win.
Susan gets a hit.
Conclusion_________________________________________________________________________________________
13.
If the bus is late, then we will be late for school.
If we are late for school, then we will receive a tardy penalty.
Conclusion__________________________________________
For problems 14 -15, give a reason for each step.
14. Solve for x in the equation :
a. Given
b. _______________________________
c. ______________________________
d. ______________________________
15.
5x + 2
Given: M is the midpoint of AB.
1) M is the midpoint of AB
1) _______________________________
2) AM = MB
2) _______________________________
3) 5x + 2 = 14 – x
3) _______________________________
4) 5x = 12 – x
4) _______________________________
5) 6x = 12
5) _______________________________
6) x = 2
6) _______________________________
A
14 - x
M
B