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Calculating Distance Between Two Points on a Coordinate Plane

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

8 miles

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

180 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

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)</p> Signup and view all the answers

What geometric shape is used to describe the baseball diamond in the text?

<p>Square</p> Signup and view all the answers

In the baseball diamond example, what is the length of the diagonal connecting home plate to third base?

<p>$180\sqrt{2}$ feet</p> Signup and view all the answers

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</p> Signup and view all the answers

Considering the baseball diamond as a coordinate system, where is home plate located?

<p>(0, 0)</p> Signup and view all the answers

What property of a square causes its diagonal distances to be equal?

<p>$90^\circ$ angles</p> Signup and view all the answers

In the context of finding distances between points, what do coordinates (two miles east, -6 miles south) represent?

<p>(+2, -6)</p> Signup and view all the answers

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