Aims Grade 8 Mathematics Sample Test And Think-Throughs With Answers Page 21
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36December 2009
Look at MN on the coordinate plane.
10
y
10
9
8
N
●
7
6
5
4
3
2
●
1
M
x
0
1
2
3 4
5 6
7 8
9 10
What is the distance between the endpoints of MN ?
5 units
A
6 units
B
8 units
C
10 units
D
I need to find the distance between the points M and N. At first it looks like I could count the
squares, but that would not be correct. Distance cannot be measured on the diagonal, because
the diagonal of a square is longer than its height or its width.
Since the endpoints are plotted for me on the
coordinate plane, I have a good visual. The
segment that is drawn already looks like part
of a triangle. I will draw the remaining sides
to create a triangle.
Now I see that I have a right triangle. And, the
first thing that I think of when I have a right
triangle is the Pythagorean Theorem. Even if
this had not come to mind, I know that I can refer
to the Grade 8 AIMS Reference Sheet. On it I see
a picture that looks like the triangle that I made. I will use the Pythagorean Theorem to find the
distance between points M and N.
(continued on page 22)
Arizona Department of Education
21
Grade 8
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