Name _____________________________________ Class _____________ Date ____________
Chapter Test
Chapter 2
Form B
For each statement, (a) write the converse, and (b) decide whether the converse is true or
false.
1. If a polygon is a pentagon, then it has five sides.
2. If Mary lives in Minneapolis, then she lives in Minnesota.
For Exercises 3–6, name the property that justifies each statement.
3.
4. If
and
5. If
, then
6. If
, then
.
.
, then
.
7. Use the diagram at the right to find the measure of each angle.
a.
b.
c.
d.
For Exercises 8–10, find the value of the variable in each diagram.
8.
10.
9.
Name _____________________________________ Class _____________ Date ____________
Chapter Test (continued)
Chapter 2
Form B
For Exercises 11–12, use deductive reasoning to draw any possible conclusions. Write not
possible if you cannot draw any conclusions.
11. All good tennis players are quick. Martina is a good tennis player.
12. If I don’t wear sunscreen while swimming, then I’ll get sunburned. If I get sunburned, then
I’ll be in pain.
13. Rewrite the following biconditional as two conditionals:
A quadrilateral is a parallelogram if and only if it has two pairs of opposite sides that are
parallel.
For Exercises 14–16, determine whether each statement is a good definition. If it is not,
provide a counterexample.
14. A square has four right angles.
15. Complementary angles are two angles whose measures add up to 90.
16. Spiders have eight legs.
17. Give a reason for each step.
Given
a. __?__
b. __?__
c. __?__
Find the value of x.
18.
20.
19.
contains points C(2, 4), O(0, 0), and F(5, 2). Find the coordinates of a point A so that
is the side of an angle that is adjacent and complementary to
.