Calculating Distance Between Two Points on a Coordinate Plane

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Questions and Answers

What is the distance traveled by a family who takes the eastern-southern path to the grocery store?

  • 10 miles
  • 8 miles (correct)
  • 6 miles
  • 2 miles

In the baseball diamond example, what is the distance from first base to third base?

  • 180 feet (correct)
  • 254.56 feet
  • 90 feet
  • 127.28 feet

In the grocery store example, what is the distance of the straight path from the family's house to the store?

  • 6.32 miles (correct)
  • 5.39 miles
  • 4.24 miles
  • 3.61 miles

When calculating the distance from home plate to second base on a baseball diamond, what coordinates would be used for second base?

<p>(90, 0) (D)</p>
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What geometric shape is used to describe the baseball diamond in the text?

<p>Square (D)</p>
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In the baseball diamond example, what is the length of the diagonal connecting home plate to third base?

<p>$180\sqrt{2}$ feet (D)</p>
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In the grocery store example, what is the total distance traveled by the family if they take the direct path to the store?

<p>$2 + 6$ miles (A)</p>
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Considering the baseball diamond as a coordinate system, where is home plate located?

<p>(0, 0) (A)</p>
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What property of a square causes its diagonal distances to be equal?

<p>$90^\circ$ angles (C)</p>
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In the context of finding distances between points, what do coordinates (two miles east, -6 miles south) represent?

<p>(+2, -6) (D)</p>
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