Question Details

For the given shapes, which one of the following statements is not correct?

Options

A

All are parallelograms.

B

One of them is not a parallelogram.

C

Two of them are rhombuses.

D

Two of them are rectangles.

Show Answer

Correct Answer :

Option B

One of them is not a parallelogram.

Solution :

The correct option is One of them is not a parallelogram.


Let us analyze the shapes shown in the image below:

Shapes


1. Definition of a Parallelogram:
A parallelogram is a quadrilateral with two pairs of parallel opposite sides. Rectangles, squares, and rhombuses are all special types of parallelograms.


2. Analyzing the Given Shapes:
From left to right, the four given geometric shapes are:

  • First shape: A general parallelogram (opposite sides are parallel).
  • Second shape: A square (all sides equal and all angles 90°). Since a square is both a rectangle and a rhombus, it is also a parallelogram.
  • Third shape: A rectangle (opposite sides equal and all angles 90°), which is also a parallelogram.
  • Fourth shape: A rhombus (all four sides equal), which is also a parallelogram.


3. Evaluating the Statements:
- All are parallelograms: Correct, because every shape shown satisfies the properties of a parallelogram.
- Two of them are rhombuses: Correct, because both the square and the rhombus have four equal sides.
- Two of them are rectangles: Correct, because both the square and the rectangle have four right angles.
- One of them is not a parallelogram: Incorrect (Not correct), since all four shapes are indeed parallelograms.


Therefore, the statement that is not correct is "One of them is not a parallelogram."

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