Math Problem Statement
Solution
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:
- What are the defining properties of a rectangle?
- Can a square be considered a rectangle? Why or why not?
- How do you distinguish between a rectangle and other quadrilaterals like a trapezoid?
- What is the difference between a rhombus and a rectangle?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Quadrilaterals
Formulas
-
Theorems
Definition of a rectangle
Properties of quadrilaterals
Suitable Grade Level
Grades 3-5