To determine which coordinate plane correctly shows the rectangle with vertices at (0, -1), (0, 2), (-7, -1), and (-7, 2), we first identify the locations of these vertices:
- (0, -1) - This point is on the y-axis, 1 unit down from the origin.
- (0, 2) - This point is also on the y-axis, 2 units up from the origin.
- (-7, -1) - This point is 7 units left of the y-axis and 1 unit down from the origin.
- (-7, 2) - This point is 7 units left of the y-axis and 2 units up from the origin.
Now, we can visualize the rectangle on the coordinate plane:
- The vertical sides of the rectangle are aligned along the x-coordinate of 0 and -7, and the horizontal sides are aligned along the y-coordinates of -1 and 2.
- In summary, the rectangle stretches from (0, -1) to (0, 2) vertically, and from (-7, -1) to (-7, 2) vertically as well.
Now, let's analyze the options given:
A. This describes a rectangle that is 1 unit up and 2 units down from the origin, and 7 units left with the same vertical coordinates. This does not match our coordinates.
B. This describes a rectangle that has a vertex 2 units up from the origin, which is (0, 2). It also mentions a vertex 1 unit down from the origin, which is (0, -1). The vertices at (-7, 2) and (-7, -1) matches as well, since it describes a vertex that is 7 units to the left with the respective vertical heights. This matches our rectangle.
C. This describes a rectangle that is 2 units to the right from the origin and doesn't match the coordinates we have.
D. This also does not match any of the points since the vertex placements seem incorrect.
Based on this analysis, the correct answer is:
B. A rectangle on the coordinate plane has a vertex 2 units up from the origin, another vertex 1 unit down from the origin, another vertex 7 units to the left and 2 units up from the origin, and another vertex 7 units to the left and 1 unit down from the origin.
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