Finding Distance in the Coordinate Plane Answers

What is the distance between (–6, 2) and (8, 10) on a coordinate grid?

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

What is the length of segment GH?

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

Angelica calculated the distance between the two points shown on the graph below.Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.Step 3: Substitute the values into the Pythagorean theorem: .Step 4: Evaluate She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1). What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.

What is the length of segment XY?

What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

What is the length of segment AC?