Step: 1

A rectangle is a quadrilateral with two pairs of parallel sides, two pairs of equal sides, and four angles measuring 90° each.

Step: 2

A door has two pairs of parallel sides and two pairs of equal sides.

Step: 3

So, I am rectangular in shape.

Correct Answer is : rectangle

Step: 1

A quadrilateral with opposite sides equal is called a parallelogram.

Step: 2

From the given figures, Figure 1 is a parallelogram with opposite sides equal.

Step: 3

So, Figure 1 is the correct answer.

Correct Answer is : Figure 1

Step: 1

In the given quadrilateral MNOP opposite sides are parallel, equal and opposite angles are equal.

Step: 2

Therefore, the given quadrilateral MNOP is a parallelogram.

Correct Answer is : parallelogram

Step: 1

A square is a four sided polygon whose all sides are equal and all the angles measure 90°.

Step: 2

Figure 2, Figure 3 and Figure 4 have all their opposite sides equal.

Step: 3

Figure 1 is a square, as all its sides are equal.

Correct Answer is : Figure 1

'Opposite sides are parallel and of the same length.'

Step: 1

A rectangle, a square and a parallelogram have its opposite sides parallel and of the same length.

Step: 2

A kite has two pairs of sides of same length but opposite sides are not parallel.

Step: 3

Hence, kite is the quadrilateral which does not satisfy the properties 'opposite sides are parallel and of the same length.'

Correct Answer is : kite

Step: 1

Observe that, figure 'I' is a trapezoid, figure 'II' is a rhombus, and figure 'III' is a parallelogram.

Step: 2

In a trapezoid, both pairs of opposite angles are not equal.

[From properties of a trapezoid.]

Step: 3

In a parallelogram, both pairs of opposite angles are equal.

[From properties of a parallelogram.]

Step: 4

A rhombus is a parallelogram. So, the properties that are true for a parallelogram are true for a rhombus as well.

Step: 5

Therefore, the choice "II and III" is the correct answer.

Correct Answer is : II and III

Step: 1

All the sides of a rhombus are equal.

Step: 2

A square is a rhombus.

Step: 3

All the properties that are true for a rhombus are also true for a square. So all the sides of a square are also equal.

Correct Answer is : II and III

Step: 1

Every Square is a rectangle because a square satisfies all the properties of rectangle.

Step: 2

Every rectangle is a parallelogram because in a rectangle, two pairs of opposite sides are parallel.

Step: 3

Every parallelogram is a trapezoid but every trapezoid is not a parallelogram. because, in a trepezoid one pair of opposite sides may not be parallel.

Correct Answer is : Every trapezoid is a parallelogram.

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