Exam 11: Analytic Geometry

Which formula would be applied to prove the theorem, "The diagonals of a rectangle are congruent.?"

For the equation , find in the form an equivalent equation in which the coefficient (multiplier)of x is the number -9.

In Cartesian space, the direction of the line is represented by the vector or any nonzero multiple of this vector.

Using rectangle HJKL as shown, what type of quadrilateral is determined by joining the midpoints of the sides of HJKL in order?

If and the slope of line is , then the slope of is .

In Cartesian space, the point (0,6,0)lies 6 units above the origin.

To show analytically that two lines are parallel, one applies the Slope Formula.

The line through the points ( a , 3)and (4, -1)is perpendicular to the line . Determine the value of a .

What type of triangle has vertices at (-a,0), (a,0), and (0,b)?

The point lies in the plane .

In the form , find the equation of the line that is the perpendicular- bisector of the line segment that joins (0,0)and (2 a ,2 b ).

According to the Midpoint Formula, the midpoint of the line segment that joins ( )and ( )is .

If midpoints are involved in a proof, then a general point should be represented by ( ).

Find the y-coordinate of point X = (4,?), a point that lies on the graph of the equation .

Find the point of intersection for the lines that are the graphs of and .

Determine the exact volume of the sphere .

What is the slope of the line shown?

Find the slope of any line that is perpendicular to the line .

Find the slope m and value of b at the y -intercept (0, b )for the graph of the equation .

The line that contains ( )and (6, b )has slope . Find the value of b .