Answer:
1) In the given figure opposite sides are Parallel . Hence, it is a parallelogram.
2) Option (1) and (3) are correct.
Step-by-step explanation:
1)
- Parallelogram is a two dimensional figure with opposite sides parallel and equal in length and diagonals bisect the angles.
- Rectangle is two dimensional figure with opposite sides equal in length and measure of each angle is 90° .
- Square is two dimensional figure with all sides equal in length and measure of each angle is 90°.
- Rhombus is a two dimensional figure with all sides equal in length and sum of measure of opposite angle is 180°.
Thus, in the given figure opposite sides are Parallel . Hence, it is a parallelogram.
2)
The sufficient condition for a parallelogram to be square is diagonals are perpendicular and diagonals are congruent and all the sides are congruent.
Thus, (1) and (3) are correct.