Step: 1

The quadrilaterals parallelogram, square and a rectangle have two pairs of parallel sides each.

Step: 2

Angles in a square and a rectangle are right angles.

Step: 3

Parallelogram is the quadrilateral that has two pairs of parallel sides and does not have right angles.

Correct Answer is : parallelogram

Step: 1

The lines, which never meet are called parallel lines.

Step: 2

Amongst the figures, Figures 1 and 2 have no parallel lines.

Step: 3

Figure 4 has only one pair of parallel lines.

Step: 4

Figure 3 has 2 pairs of parallel lines.

Correct Answer is : Figure 3

Step: 1

Step: 2

A quadrilateral with both pairs of opposite sides parallel is always a parallelogram.

[By definition.]

Step: 3

It can be a rhombus, a rectangle or a square under special conditions, but not always.

Correct Answer is : parallelogram

Step: 1

For a rhombus, all the sides are equal in length and only the opposite angles are equal. So, the parallelogram described cannot be a rhombus.

Step: 2

Only the opposite sides of a rectangle are equal in length. So, the parallelogram described cannot be a rectangle.

Step: 3

Trapezoid is not a parallelogram.

Step: 4

A square has all its sides of equal length and every angle is a right angle.

Step: 5

So, the parallelogram described is a square.

Correct Answer is : square

I. It has two pairs of parallel opposite sides.

II. It has all its sides congruent.

III. It has four right angles.

Step: 1

The statement "It has two pairs of parallel opposite sides" could mean a square or a rectangle or a parallelogram or a rhombus. The answer is ambiguous.

Step: 2

The statement "It has all its sides congruent" could suggest a square or a rhombus. Still the answer is ambiguous.

Step: 3

The statement "It has four right angles" is ruled out as a rhombus doesn't contain a right angle.

Step: 4

So, among the statements given, I and II together imply that the figure shown is a rhombus.

[Combining all the three statements we would get a square.]

Correct Answer is : I and II

Step: 1

If the quadrilaterals are of same shape and size, then the quadrilaterals are said to be congruent quadrilaterals.

Step: 2

The pair of quadrilaterals in Figure 1 and Figure 3 have same size and shape.

Step: 3

The pair of quadrilaterals in Figure 2 and Figure 4 does not have same shape and size.

Step: 4

So, the pair of quadrilaterals in Figure 2 and Figure 4 are not congruent.

Correct Answer is : Figure 2 and Figure 4

Step: 1

In a parallelogram any two opposite sides are equal.

Step: 2

A rectangle is a parallelogram.

Step: 3

So the properties that are true for a parallelogram are also true for a rectangle.

Step: 4

That means in a rectangle also any two opposite sides are equal.

Correct Answer is : I and II

Step: 1

The given quadrilaterals are trapezoid, rhombus, and parallelogram.

Step: 2

In a parallelogram, both pairs of opposite sides are parallel.

Step: 3

Rhombus is a parallelogram since all the properties that are true for a parallelogram are also true for a rhombus.

Step: 4

So, in a rhombus, both pairs of opposite sides are parallel.

Step: 5

In a trapezoid, only one pair of opposite sides is parallel.

Step: 6

Therefore the correct choice is trapezoid.

Correct Answer is : I

- Identifying and Locating Ordered Pairs-Gr 5-Solved Examples
- Identifying Points, and Describing Paths on a Coordinate Plane-Gr 5-Solved Examples
- Two-dimensional Geometric Figures-Gr 5-Solved Examples

- Quadrilateral