Question

A quadrilateral in which two pairs of opposite sides are parallel, all the sides are equal and all the angles are right angles is called a________
(a) square
(b) parallelogram
(c) rectangle
(d) rhombus

Answer 1

Hint: We will check every option given in the question one by one and match their properties with the properties given in the question and in this way we will arrive at the answer.

Complete step-by-step answer:
We will first check option (a) which is square. Now we know that properties of squares are: Opposites sides are parallel, all sides are equal, all angles are right angles. So, the correct option for this question is option (a) because it satisfies all the properties asked in the question.
Now we will check option (b) which is parallelogram. Now we know that parallelogram has opposite sides parallel but their all sides are not equal and angles are also not right angles. Hence option (b) is wrong.
Now we move onto check option (c) which is rectangle. Now we know that the rectangle has opposite sides parallel and only opposite sides are equal and not all the sides but angles are right angles. Hence option (c) is also wrong because it satisfies all the properties except all the sides equal.
Now we check the last option (d) which is rhombus. We know that in rhombus the opposite sides are parallel and all sides equal but their angles are not right angles. Hence option (d) is also wrong because it satisfies all the properties except right angles.
So, the correct answer is option (a) which is square.

Note: To solve these types of questions we need to be thorough with all the basic quadrilaterals and their definition and properties. We in a hurry may think of rectangles as the answer but all sides are not equal in rectangle and hence we need to be careful.