Finding Distance in the Coordinate Plane

Find the distance between the points.

Calculate the length of Mary's trip.

• 10 miles

• 14 miles

• 24 miles

• 28 miles

Use the picture to help you answer the question.
Make sure to:
-ID the legs and hypothenuse
-Plug in those values into $a^2+b^2=c^2$

-Simplify the exponents
-Get the variable by itself
-No need to take the square root this time:)

• 5 units

• 13 units

• 8 units

• 12 units

• 15 units

• 21 units

In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3).

If R represents the third vertex in the triangle and R is located in the third quadrant, what is the length of PR?

• 3

• 4

• 5

• 6

In a right triangle, the hypotenuse has endpoints XY, shown on the graph.

If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?

• 3

• 4

• 5

• 6

What is the length of segment RS?

• 12

• 13

Find the distance between the points.