Practice Test - Circle Geometry

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Math 112A
practice test – circle geometry 2
January 2011
Name : ______________________________
 . A second line passes through the points (1,-4) and (4,2).
1. The equation of a line is 2
x
4
y
7
a. Determine if the lines are parallel, perpendicular or neither. Justify your answer by showing your
work.
b. Are the lines intersecting? If so, determine the intersection point. If not, explain why you know it.
2. A triangle has vertices A(0,2), B(3,2) and C(-1,5).
a. Is the triangle an equilateral, isosceles or scalene triangle? Justify your
answer by showing your work.
b. Is it a right triangle? Justify your answer by showing your work.
3. In the following diagram, M is the midpoint of the line AB and N is the
midpoint of the line AC. Show that MN is parallel to BC.
 .
2
2
4. A circle has an equation of
3
x
3
y
12
x
18
y
108 0
a. The circle is written in what form?
b. Convert the given equation into the other two forms and state the name
of each form.
5. For each of the following equation, find the centre, radius or length of the
major and minor axes, write the mapping notation, and then graph the equation.
2
2
x
2
y
1
a.
1
3
5
2
2
b.
x
y
3
25 0
6. The diameter of a circle is from the point (1,-4) to (9, 6). Find the coordinates of the centre of the circle,
calculate the radius, and then state the equation in the general form.
7. State the equation (in the transformational form) of the following graphs:
a.
b.

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