CPM Homework Help : CC3MN Problem 9-60

Graph each of the pairs of points listed below and draw a line segment between them. Use the graph to help you find the length of each line segment. State whether each length is irrational or rational.

$(−3, 0) \text{ and } (0, −3)$
Hint (a):
Draw a triangle using the segment as your hypotenuse. Then find out the lengths of the legs.
More Help 1(a):
Use the Pythagorean Theorem to find the length of the hypotenuse.
More Help 2(a):
$3^{2} + 3^{2} = \text{hypotenuse}^{2}$
Now solve for the hypotenuse.
Answer (a):
$\sqrt{18} \approx 4.24 \;\text{units}$

$(2, 3) \text { and }(−1, 2)$
Hint (b):
See part (a).
More Help (b):
Use the Pythagrean Theorem to find the length of the segment.

$(3, 2) \text { and } (3, −3)$
Hint (c):
Use the graph to find the length of the segment.

Use the eTool below to graph each segment.
Click the link at right for the full version of the eTool: 9-60 HW eTool