Working with Distance (Length) Topic Index | Geometry Index | Regents Exam Prep Center

Answer the following questions pertaining to
distance (length) and coordinate geometry.

 1. Find the length of the line segment whose endpoints are (-3, 4) and (5,4). Choose: 8 Explanation If you graph these points, you will notice that they form a horizontal line segment and the length can be found by counting. Otherwise use the Distance formula.

 2. Find the distance between the points (-4,-5) and (1,-2). Choose: Explanation These points form a diagonal line segment. You will  either need to graph and use the Pythagorean Theorem, or use the Distance Formula.

 3. The point (5,4) lies on a circle.  What is the length of the radius of this circle if the center is located at (3,2)? Choose: 10 Explanation The radius is the distance from the center of the circle to any point on the circle. Using the two coordinates, either plot them and use the Pythagorean Theorem or use the Distance Formula.

 4. Find JK. Choose: Explanation These points form a diagonal line segment. You will  either need to utilize the graph and use the Pythagorean Theorem, or use the Distance Formula.

 5 The coordinates of rectangle ABCD are A(0,2), B(4,8), C(7,6) and D(3,0). Show that the diagonals are equal in length. Answer

 6 Two birds are flying toward a birdhouse that is halfway between them.  The birds are at coordinates A(-4,4) and B(10,-2). What are the coordinates of the birdhouse? How far will each bird fly (to nearest tenth of a foot) to arrive at the birdhouse, if each grid on the graph represents 100 feet? Answer

 7 Given that . Q(4,5), U(11,1), A(1,-4), D(0,3) Find the slopes of and Is QUAD a trapezoid? Find the midpoints of and and label them R and S. Find the lengths of What is the relationship between these three segments? Answer

 Topic Index | Geometry Index | Regents Exam Prep Center Created by Donna Roberts