Q.

Identify the true statements:

  1. A rectangle is a parallelogram.
  2. A square is a rhombus.
  3. A parallelogram is a rhombus.
  4. A kite is a parallelogram.

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a

A only

b

A and B

c

C only

d

C and D 

answer is B.

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Detailed Solution

Before, looking into the statements, first check all the related diagrams which are given below:
Question Image           Question ImageQuestion ImageLet’s look into the statements.
  • A rectangle is a parallelogram: A rectangle has its opposite sides equal and a parallelogram also has its opposite sides equal to each other. Therefore, the statement is true in every sense.

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  • A square is a rhombus: A square has its all sides equal to each other and so does the rhombus as well, i.e., its all sides are also equal to each other. Therefore, this statement is also true in every sense.

  •  
  • A parallelogram is a rhombus: A parallelogram has its opposite sides equal to each other whereas, a rhombus has its all sides equal to each other. Therefore, this statement is false in every sense.

  •  
  • A kite is a parallelogram: A kite has its adjacent sides equal to each other, i.e.,a pair of sides which are adjacent to each other are equal; and so do the other two adjacent sides as well whereas, a parallelogram has its opposite sides equal to each other. Therefore, this statement is also false in every sense.

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