Apply the Pythagorean Theorem to Find the Distance Between Two Points in a Coordinate System: CCSS.Math.Content.8.G.B.8

Practice Questions

Common Core: 8th Grade Math › Apply the Pythagorean Theorem to Find the Distance Between Two Points in a Coordinate System: CCSS.Math.Content.8.G.B.8

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In order to get to work, Jeff leaves home and drives 4 miles due north, then 3 miles due east, followed by 6 miles due north and, finally, 7 miles due east. What is the straight line distance from Jeff’s work to his home?

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Trig_id

If and , how long is side ?

3

Use the Pythagorean Theorem to calculate the length of the line shown on the provided coordinate plane. Round the answer to the nearest tenth.

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4

To get from his house to the hardware store, Bob must drive 3 miles to the east and then 4 miles to the north. If Bob was able to drive along a straight line directly connecting his house to the store, how far would he have to travel then?

5

Parallelogram2

Give the perimeter of the above parallelogram if .

6

Use the Pythagorean Theorem to calculate the length of the line shown on the provided coordinate plane. Round the answer to the nearest tenth.

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7

You leave on a road trip driving due North from Savannah, Georgia, at 8am. You drive for 5 hours at 60mph and then head due East for 2 hours at 50mph. After those 7 hours, how far are you Northeast from Savannah as the crow flies (in miles)?

8

Use the Pythagorean Theorem to calculate the length of the line shown on the provided coordinate plane. Round the answer to the nearest tenth.

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9

Use the Pythagorean Theorem to calculate the length of the line shown on the provided coordinate plane. Round the answer to the nearest tenth.

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10

Justin travels to the east and to the north. How far away from his starting point is he now?

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