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Find a degree 
Magazine Problem 3
Complete an analytic proof for each theorem. The diagonals of a square are perpendicular bisectors of each other.
Problem 17
In Exercises 15 to \(18,\) find the midpoint of the line segment \(\overline{P_{1} P_{2}}\). \(P_{1}=(2,-1,1)\) and \(P_{2}=(5,7,-7)\)
Problem 22
Apply the Midpoint Formula. A circle has its center at the point \((-2,3) .\) If one endpoint of a diameter is at \((3,-5),\) find the other endpoint of the diameter.
Problem 23
Apply the Midpoint Formula. A rectangle \(A B C D\) has three of its vertices at \(A(2,-1)\) \(B(6,-1),\) and \(C(6,3) .\) Find the fourth vertex \(D\) and the area of rectangle \(A B C D\)
Problem 36
Draw and label a well-placed figure in the coordinate system for each theorem. Do not attempt to prove the theorem! The diagonals of a rhombus are perpendicular to each other.
Problem 37
If \((2,3),(5,-2),\) and \((7,2)\) are three vertices (not necessarily consecutive) of a parallelogram, find the possible locations of the fourth vertex.
Problem 46
Where \(m>0, a>0,\) and \(b>0,\) the graph of \(y=m x+b,\) the axes, and the vertical line through \((a, 0)\) determines a trapezoidal region in Quadrant I. Find an expression for the area of this trapezoid in terms of \(a, b,\) and \(m\)
