IM 8.8.11 Lesson: Finding Distances in the Coordinate Plane
Order the following pairs of coordinates from closest to farthest apart. Be prepared to explain your reasoning.
a. and b. and c. and d. and e. and
Name another pair of coordinates that would be closer together than the first pair on your list.
Name another pair of coordinates that would be farther apart than the last pair on your list.
Find the distances between the three points shown.
Which figure do you think has the longer perimeter?
Select one figure and calculate its perimeter. Your partner will calculate the perimeter of the other. Were you correct about which figure had the longer perimeter?
Quadrilateral has vertices at , , and.
Use the Pythagorean Theorem to find the lengths of sides , , , and .
Use the Pythagorean Theorem to find the lengths of the two diagonals, and .
Explain why quadrilateral is a rectangle.
For this activity, you will work with a small group.
Have each person in your group select one of the sets of coordinate pairs shown here. Then calculate the length of the line segment between those two coordinates. Once the values are calculated, have each person in the group briefly share how they did their calculations. and and and and How does the value you found compare to the rest of your group?
In your own words, write an explanation to another student for how to find the distance between any two coordinate pairs.