https://file.aiquickdraw.com/mathbot/file/1726154116146t0mw4q2w.jpg

The statement in the image reads: "If a figure is a rectangle, then it has 4 sides." The task is to determine if this statement is true or false and select the appropriate answer from the options.

### Analysis:
- **True**: A rectangle is a quadrilateral, which means it has 4 sides. Therefore, this statement is **true**.
  
- **False - square**: A square is a special type of rectangle, but it also has 4 sides. This does not provide a counterexample.
  
- **False - trapezoid**: A trapezoid can have 4 sides, but it is not always a rectangle. However, this does not challenge the original statement since we are focusing on rectangles, not trapezoids.
  
- **False - triangle**: A triangle has 3 sides, but a triangle cannot be a rectangle. Thus, this option does not apply.

### Conclusion:
The correct choice is **True** because a rectangle, by definition, always has 4 sides.

Would you like more details or have any other questions?

### Related Questions:
1. What are the defining properties of a rectangle?
2. Can a square be considered a rectangle? Why or why not?
3. How do you distinguish between a rectangle and other quadrilaterals like a trapezoid?
4. What is the difference between a rhombus and a rectangle?
5. Can a rectangle ever be classified as a parallelogram?

**Tip**: Always ensure to check the definition of the shapes involved before determining the truth of a geometric statement.

If a figure is a rectangle, then it has 4 sides. Decide the truth value of each statement. If false, find a counterexample. Choose all that apply.

Explore whether the statement 'If a figure is a rectangle, then it has 4 sides' is true. Understand the geometric concepts related to rectangles and quadrilaterals and learn how to identify counterexamples.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation