Question

Plot the coordinates
A (1, 2), B (4, 5), C (4, –3), and D (1, –1).

If the points are connected, what polygon is formed?
Triangle
Quadrilateral
Pentagon
Hexagon

Answer 1

To plot the coordinates and determine the shape formed by points A (1, 2), B (4, 5), C (4, -3), and D (1, -1), let's analyze the coordinates:

1. A (1, 2)
2. B (4, 5)
3. C (4, -3)
4. D (1, -1)

Now, if we connect the points in order (A to B, B to C, C to D, and D back to A), we can determine the shape formed.

- Plotting the points:
- A (1, 2) is in the first quadrant.
- B (4, 5) is also in the first quadrant.
- C (4, -3) is in the fourth quadrant.
- D (1, -1) is in the fourth quadrant.

If we connect the points in sequence:
- The line from A to B goes upward.
- The line from B to C goes downward.
- The line from C to D moves leftward.
- The line from D back to A goes upward.

Since we have four points and each point connects to two others, the shape formed is a quadrilateral.

Therefore, the answer is **Quadrilateral**.