Finding Distance in the Coordinate Plane

Question 1

Segment KJ shown below is the hypotenuse of isosceles right triangle JLK. What is the length of one of the congruent legs of JLK?

Revolt · Accepted Answer

StartRoot 18 EndRoot

Question 2

The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph. At which point could point C be located?

Revolt · Accepted Answer

(–3, 3)

Question 3

What is the length of segment RS?

Revolt · Accepted Answer

13

Question 4

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Revolt · Accepted Answer

StartRoot a squared + 25 EndRoot

Question 5

Which equation correctly shows how to determine the distance between the points (9, –2) and (6, 3) on a coordinate grid?

Revolt · Accepted Answer

d = StartRoot (6 minus 9) squared + (3 minus (negative 2)) squared EndRoot

Question 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?

Revolt · Accepted Answer

5

Question 7

What is the length of segment GH?

Revolt · Accepted Answer

units

Question 8

What is the length of segment XY?

Revolt · Accepted Answer

units

Question 9

Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?

Revolt · Accepted Answer

(0, –5)

Question 10

Which expression can be used to determine the length of segment AB?

Revolt · Accepted Answer

StartRoot 2 squared + 6 squared EndRoot

Finding Distance in the Coordinate Plane Answers

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