Chapter 2 Alternative Assessment
1. You and your friend are comparing the locations of the stores at a mall in your
city. Your friend describes the relative locations of some of the mall stores in the
following way.
The clothing store C is located along Hallway 1. The food court F
is due east of the clothing store along Hallway 1. The music store M
is northeast of the food court so that LCFM is obtuse. The food court
and music store are along Hallway 2. The bookstore B is southeast of
the food court so that LMFB is acute. The food court and bookstore
are along Hallway 3. The shoe store S is due east of the food court on
Hallway 1.
a. Use your friend's description to draw a diagram showing the relative locations
of the stores.
b. Where do the hallways intersect?
c. You and your friend go to the clothing store and see two signs. One sign reads
"All summer clothes are on sale." Another sign reads "The sale price is 30%
off the original price." Write each sign's statement in if-then form.
d. Use deductive reasoning to write a new conditional statement from the
statements in part (c).
N
+
W
S
e. Write the converse, the inverse, and the contrapositive of the statement you
wrote in part (d).
f. Is LSFB acute or obtuse? Explain your reasoning.
2. Write a proof using any format.
Given L3 L2
Prove L1 and 23 are supplementary.
3
2