Finding Distance in the Coordinate Plane Answers

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

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.

Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).Step 1: Step 2: Step 3: Step 4: Step 5: Therefore, d = 2.Which best describes the accuracy of Tyree’s solution?

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?

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?

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

Kendra is determining the distance between the points (6, 8) and (2, –3). Her work is shown below. Step 1: Step 2: Step 3: Step 4: Which best describes the accuracy of Kendra’s solution?

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

What is the length of segment GH?

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