Question

If a quadrilateral is a square, then it is a rectangle. If a quadrilateral is a rectangle, then it is a parallelogram. Use laws of logic to draw a conclusion from the given statements.

If a quadrilateral is not a square, then it is not a parallelogram.
If a quadrilateral is a parallelogram, then it is a square.
If a quadrilateral is a square, then it is a parallelogram.
If a quadrilateral is a parallelogram, then it is a rectangle.

a) A square is always a parallelogram.
b) A rectangle is always a square.
c) A parallelogram is always a square.
d) A parallelogram is always a rectangle.

Answer 1

If a quadrilateral is a square, then it is a rectangle. If a quadrilateral is a rectangle, then it is a parallelogram. Therefore, a square is always a parallelogram and a rectangle is always a square.

Step-by-step explanation:

If a quadrilateral is a square, then it is a rectangle.

If a quadrilateral is a rectangle, then it is a parallelogram.

We can draw the following conclusions:

• A square is always a parallelogram.
• A rectangle is always a parallelogram.
• A rectangle is always a square.
• A parallelogram is always a rectangle.