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If a quadrilateral is a rectangle, which of the following statements is true?

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Question: If a quadrilateral is a rectangle, which of the following statements is true?

Options:

  1. All sides are equal
  2. Opposite sides are equal
  3. All angles are acute
  4. Diagonals are perpendicular

Correct Answer: Opposite sides are equal

Solution:

In a rectangle, opposite sides are equal in length.

If a quadrilateral is a rectangle, which of the following statements is true?

Practice Questions

Q1
If a quadrilateral is a rectangle, which of the following statements is true?
  1. All sides are equal
  2. Opposite sides are equal
  3. All angles are acute
  4. Diagonals are perpendicular

Questions & Step-by-Step Solutions

If a quadrilateral is a rectangle, which of the following statements is true?
  • Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
  • Step 2: Learn what a rectangle is. A rectangle is a special type of quadrilateral where all angles are 90 degrees.
  • Step 3: Remember the properties of a rectangle. In a rectangle, opposite sides are equal in length.
  • Step 4: Identify the statement to evaluate. The question asks which statement is true about rectangles.
  • Step 5: Confirm that the statement 'opposite sides are equal in length' is true for rectangles.
  • Properties of Rectangles – A rectangle is a quadrilateral with opposite sides that are equal in length and all angles equal to 90 degrees.
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