The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD , and point C lies on AB. The length of CD is √10 units.
The coordinates of point C are_____ . The slope of CD is
_____ . The possible coordinates of point D are_____ and_____ .
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The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if parallelogram ABCD is proven to be a rectangle?
A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?
C = ((2+8)/2,(3+1)/2) = (5,2)
slope of CD = (2-8)/(1-3) = 3
since CD=√10, it is the hypotenuse of a triangle with legs 3 and 1. Since the slope is 3, that means that the x-leg=1, and the y-leg=3.
So, it could be
C+(1,3) = (6,5)
or
C-(1,3) = (4,-1)