91Ó°ÊÓ

Describe the location of the point \((-1,-2)\) and then plot it on coordinate graph paper.

Find the distance between the points on the real number line whose coordinates are \(-4\) and 3 .

Find the distance between the point \(\mathrm{A}(1,3)\) and \(\mathrm{B}(5,3)\).

Find the distance between the point \(\mathrm{C}(-3,-2)\) and the point \(\mathrm{D}(-3,4)\)

Show that the triangle with vertices \(\mathrm{A}(6,7), \mathrm{B}(-11,0)\), and \(\mathrm{C}(1,-5)\) is isosceles.

A circle whose center is at \(\mathrm{C}(-4,2)\) passes through the point \(\mathrm{D}(-3,5)\). Find \(R\), the length of the radius, in radical form.

Prove, using coordinate geometry, that the diagonals of a rectangle are congruent.

Find the coordinates of the midpoint of the line segment which joins the point \(R(4,6)\) and the point \(S(8,-2)\). (See figure)

Find the coordinates of the midpoints of \(\mathrm{AC}\) and \(\mathrm{BC}\), of triangle \(\mathrm{ABC}\), with coordinates \(\mathrm{A}(6,7), \mathrm{B}(-11,0), \mathrm{C}(1,-5)\).

Given, in the accompanying graph, the quadrilateral whose vertices are \(\mathrm{A}(-2,2), \mathrm{B}(1,4), \mathrm{C}(2,8)\), and \(\mathrm{D}(-1,6)\). a) Find the coordinates of the midpoint of diagonal \(\underline{A C}\). b) Find the coordinates of the midpoint of diagonal \(\underline{\mathrm{BD}}\). Show that \(\mathrm{ABCD}\) is a parallelogram.