https://r2.erweima.ai/mathbot/image/1726250779133q5bmx6e3.jpg

To solve this problem, we need to determine which shape is formed by the points \( A(-3, 4) \), \( B(3, 4) \), \( C(3, -2) \), and \( D(-3, -2) \).

### Step 1: Plot the Points
- **Point A**: \((-3, 4)\)
- **Point B**: \( (3, 4) \)
- **Point C**: \( (3, -2) \)
- **Point D**: \( (-3, -2) \)

### Step 2: Determine the Shape
- **AB**: The line segment from A to B is horizontal at \(y = 4\) with endpoints \((-3, 4)\) and \((3, 4)\).
- **BC**: The line segment from B to C is vertical at \(x = 3\) with endpoints \((3, 4)\) and \((3, -2)\).
- **CD**: The line segment from C to D is horizontal at \(y = -2\) with endpoints \((3, -2)\) and \((-3, -2)\).
- **DA**: The line segment from D to A is vertical at \(x = -3\) with endpoints \((-3, -2)\) and \((-3, 4)\).

All sides are either vertical or horizontal, and opposite sides are equal in length:
- **AB = CD** (Both are 6 units long, since the x-coordinates differ by 6.)
- **BC = DA** (Both are 6 units long, since the y-coordinates differ by 6.)

### Step 3: Check for Right Angles
Since the sides are either horizontal or vertical, all angles are right angles.

### Conclusion
The shape is a **rectangle** (since it has four sides, opposite sides are equal, and all angles are right angles).

Thus, the correct answer is:
- **A rectangle**.

Would you like more details or have any questions?

### Related Questions:
1. How do you find the distance between two points on a coordinate plane?
2. What is the difference between a square and a rectangle?
3. How can you determine if a quadrilateral is a parallelogram?
4. What are the properties of different quadrilaterals?
5. How can you calculate the perimeter of a rectangle given its vertices?

#### Tip:
When determining a shape from its coordinates, check for equal side lengths and angles to differentiate between rectangles, squares, and other quadrilaterals.

Which best describes the figure that is represented by the following coordinates? A(−3, 4), B(3, 4), C(3, −2) and D(−3, −2)

Discover how to determine the shape formed by the coordinates A(−3, 4), B(3, 4), C(3, −2), and D(−3, −2). This problem covers key geometry concepts like distance between points and properties of rectangles, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation