*x*and

*y*coordinates, though; as you’ll see in the following practice questions, you’ll also need to brush up on your geometry skills.

## Practice questions

- A rectangle 5 units long and 4 units high is represented on a graph. If three of the corners are placed at (3, 2), (3, –2), and (–2, 2), where should the fourth corner be placed?
**A.**(–2, 2)**B.**(2, –2)**C.**(–2, –2)**D.**(2, 2) - A circle is drawn with its center at the origin and a diameter of 8 units. Where will the circumference intersect the negative
*y*-axis? Circle this point on the graph.

## Answers and explanations

**The correct answer is Choice (C).**This question tests your skills in geometry by asking you to visualize a graph of an object. Because the object is a rectangle, the opposite sides are equal in length and are parallel, the fourth corner will be 2 units to the left of the*y*-axis, giving it an*x*-coordinate of –2, and 2 units below the*x*-axis, giving it a*y*-coordinate of –2. Therefore, the point would be (–2, –2).The

*x-*coordinate is the distance from the*y*-axis, and the*y*-coordinate is the distance from the*x*-axis.**The correct answer is Point E (0, –4).**If the center is at the origin and the diameter (which is twice the radius) is 8 units, the circle will intersect each of the axes (that’s the plural of axis) at a distance of 4 units from it. Therefore, it intersects the negative*y*-axis at (0, –4) or Point E.