Activity 3-Proving Simple Geometrical Questions

1.'A square is a rhombus but a rhombus is not a square'.
Ans: It is true.

These are both rhombuses:

  +--------+
  |        |        +--------+
  |        |       /        /
   |        |      /        /
  |        |     /        /
  +--------+    +--------+

But only this is a square:

  +--------+
  |        |
  |        |
  |        |
  |        |
  +--------+
 

2.Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.

B ) Opposite sides of a square and a parallelogram are parallel.

C ) A trapezoid has one pair of parallel sides.

D ) All the above

Ans: D. Quadrilaterals means four sides and a square and a parallelogram have four sides. Since their opposite angles are equal, thus the sides of a square and a parallelogram are equal. Yes, a trapezoid has one pair of parallel side as shown in the picture below.

 

4. 'All parallelograms are squares?' Do you agree with this statement?

Justify your answer with example/s.

Ans: I agree with the statement.The interior angles of a parallelogram aren't necessarily 90 degrees. All fours side are not necessarily equal in a parallelogram.