We are asked to plot the points A(0, 9), B(4, 9), C(4, 5), and D(0, 5) on a coordinate plane and connect them in the order listed. Then, we need to identify the resulting shape.

GeometryCoordinate GeometryShapesRectangleSquarePlotting PointsDistance Formula
2025/5/15

1. Problem Description

We are asked to plot the points A(0, 9), B(4, 9), C(4, 5), and D(0, 5) on a coordinate plane and connect them in the order listed. Then, we need to identify the resulting shape.

2. Solution Steps

First, we plot the points on the coordinate plane:
A(0, 9)
B(4, 9)
C(4, 5)
D(0, 5)
Next, we connect the points in the order A to B, B to C, C to D, and D to A.
Connecting A(0, 9) to B(4, 9) forms a horizontal line segment.
Connecting B(4, 9) to C(4, 5) forms a vertical line segment.
Connecting C(4, 5) to D(0, 5) forms a horizontal line segment.
Connecting D(0, 5) to A(0, 9) forms a vertical line segment.
The resulting shape is a rectangle. To determine if it's a square, we check if all the sides have equal length.
The length of AB is 40=4|4 - 0| = 4.
The length of BC is 95=4|9 - 5| = 4.
The length of CD is 40=4|4 - 0| = 4.
The length of DA is 95=4|9 - 5| = 4.
Since all sides have the same length, the shape is a square.

3. Final Answer

Square

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