Determine the meaning of each statement individually.
Different Phrase: Find BC-AC Both Answers: See solution.
Practice makes perfect
To begin, let's make sense of the diagram. The point C lies on segment AB. This means that segment AB can be broken up into segments AC and CB. Note that CB and BC describe the same segment with the same endpoints.
Statement
Interpretation
Calculation
Answer
Find AC+CB.
The length of AC plus the length of CB.
3+ 7
10
Find BC-AC.
The length of BC minus the length of AC.
7- 3
4
Find AB.
The length of AB, which is the length of AC plus the length of CB.
3+ 7
10
Find CA+BC.
The length of CA plus the length of BC.
3+ 7
10
Looking at the table, we can see that three statements describe the total length of segment AB, which is to equal 10. On the other hand, the statement "Find BC-AC" describes the difference between the lengths of segments BC and AC, which is 4. Thus, the statement "Find BC-AC" is different.
