Question

If a quadrilateral is a square, then it is a rectangle. If a quadrilateral is a rectangle, then it has four right angles. Write a conclusion using Law of Syllogism.​

Answer 1

The converse is: If a quadrilateral is a rectangle, then it is a square. The inverse is: If a quadrilateral is not a square, then it is not a rectangle. Both statements are false; or use Venn diagrams to picture the sets mentioned

Answer 2

Step-by-step explanation:

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

If a parallelogram is a rhombus, then its diagonals are perpendicular.

If a parallelogram is a rhombus, then each

diagonal bisects a pair of opposite angles.

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus.