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:

  1. What is the difference between a rectangle and a square?
  2. Can a rectangle have any acute angles?
  3. How is the area of a rectangle calculated?
  4. Are diagonals in a rectangle equal?
  5. 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

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Theorems

Parallel Line Properties
Rectangle Properties

Suitable Grade Level

Grades 5-7