Finding Distance in the Coordinate Plane Answers

What is the length of segment XY?

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?

What is the length of segment RS?

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?

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?

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

What is the length of segment GH?

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?

Two students are using the distance formula to determine the distance between (9, 4) and (–3, 8) on a coordinate grid. Their work is shown below. Karlin’s WorkAbby’s WorkWhich best explains why the order in which the subtraction occurred did not cause a difference in the answers determined by the two girls?