Math Problem Statement
Which of the following can be used to describe a rectangle? A. All angles are acute. B. Opposite sides are perpendicular C. Opposite sides are parallel D. All sides are the same length.
Solution
The correct option to describe a rectangle is:
C. Opposite sides are parallel
Explanation:
- A rectangle has four right angles (90° each), so option A ("All angles are acute") is incorrect.
- Opposite sides of a rectangle are not perpendicular to each other but are parallel, so option B ("Opposite sides are perpendicular") is incorrect.
- Opposite sides are parallel in a rectangle, which makes option C correct.
- All sides of a rectangle do not have to be the same length; only opposite sides are equal. This means option D ("All sides are the same length") describes a square, not a rectangle.
Would you like further details or have any questions about this?
Here are 5 related questions for further understanding:
- What is the difference between a rectangle and a square?
- Can a rectangle have any acute angles?
- How is the area of a rectangle calculated?
- Are diagonals in a rectangle equal?
- What is the relationship between the diagonals of a rectangle?
Tip: In a rectangle, diagonals are always equal and bisect each other.
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Math Problem Analysis
Mathematical Concepts
Geometry
Properties of Rectangles
Formulas
-
Theorems
Parallel Line Properties
Rectangle Properties
Suitable Grade Level
Grades 5-7
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