A quadrilateral in which two pairs of opposite sides are parallel, all the sides are equal and all the angles are right angles.

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Square

Parallelogram

Rectangle

Rhombus

answer is A.

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Detailed Solution

Concept- First, consider option (a) of the quadratic equation. Now we know that the square has the following characteristics: The opposite side is parallel, all sides are equal, all angles are right angles. Hence, the correct option for this question is option (a). This is because it meets all the properties asked in the question. Next, look at option (b), which is a parallelogram. Now we know that the opposite sides of the parallelogram are parallel, but not all sides are equal and the angles are not right angles. Therefore, option (b) is incorrect. Then check option (c), which is rectangular. We now know that the opposite sides of the rectangle are parallel, only the opposite sides are equal, and the angles are right angles instead of all sides. Therefore, option (c) is also false because it satisfies all properties except that all edges are equal. Let's check the last option (d), Rhombus. In diamonds, we know that the opposite sides are parallel and all sides are equal, but their angles are not right angles. Therefore, option (d) is also false because it satisfies all properties except right angles. Therefore, the correct option is 1.

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