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.