Question

which is a property of the sides of a rectangle? a opposite sides have the same length b opposite sides are parallel c all sides congruent d consecutive sides are perpendicular

Explanation:

To determine the property of the sides of a rectangle, we analyze each option:

• Option A: In a rectangle, opposite sides are equal in length. This is a fundamental property.
• Option B: While opposite sides of a rectangle are parallel (since a rectangle is a parallelogram), but let's check other options.
• Option C: All sides congruent is a property of a square, not a general rectangle (a rectangle can have length and width different).
• Option D: Consecutive sides of a rectangle are perpendicular (since all angles are 90 degrees), but let's confirm the main property about sides' length/parallelism. Wait, actually, the question is about the sides' property. Wait, no, let's re - evaluate. Wait, the options: A says opposite sides have same length (true), B says opposite sides are parallel (true), C is false, D: consecutive sides are perpendicular (true, because angles are 90 degrees, so adjacent sides are perpendicular). But wait, maybe the question is about which is a property. Wait, but maybe there is a mistake in my initial thought. Wait, no, let's recall the definition of a rectangle: a quadrilateral with four right angles. From that, we can derive:
• Opposite sides are equal and parallel (so A and B are true in terms of being properties). But wait, the option C is false (all sides congruent is square). Option D: consecutive sides are perpendicular (since angle between consecutive sides is 90 degrees, so they are perpendicular). But this is a multiple - choice question, maybe there is a mis - option or maybe I misread. Wait, no, maybe the question is from a source where the intended answer is A, B, D? Wait, no, let's check again. Wait, the problem is "Which is a property...", maybe it's a multiple - answer, but the way the options are presented (A is checked, but maybe the question is to select all correct? But the original problem's options:

Wait, maybe the question is from a context where the options are presented, and we need to find the correct ones. Wait, let's re - state the properties of a rectangle's sides:

1. Opposite sides are equal in length (so A is correct).
2. Opposite sides are parallel (so B is correct).
3. Consecutive sides are perpendicular (since each angle is 90 degrees, so the sides meeting at a vertex are perpendicular, so D is correct).
4. All sides congruent is only for square, so C is incorrect.

But maybe the question is a multiple - choice where multiple options are correct. But the way the original image shows A is checked, but maybe the question is to select all correct. Wait, but the user's question is to answer this multiple - choice. Let's assume that the question is to select all correct options.

Answer:

A. opposite sides have the same length, B. opposite sides are parallel, D. consecutive sides are perpendicular