Using the Law of Syllogism, select the correct final statement: If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle. Question 9 options: If a polygon has 4 right angles, then it is a square. The polygon has 4 right angles. The polygon is a rectangle. If a polygon is square, then it is also a rectangle.

Question

Kendra Lozano

Mathematics

25 May, 01:28

Using the Law of Syllogism, select the correct final statement: If a polygon is a square, then all 4 angles are right. If all 4 angles of a polygon are right, then it is a rectangle. Question 9 options: If a polygon has 4 right angles, then it is a square. The polygon has 4 right angles. The polygon is a rectangle. If a polygon is square, then it is also a rectangle.

+2

Answers (1)

Know the Answer?

Joslyn Miles · Answer 1

if a polygon is square, then it is also a rectangle is correct

Step-by-step explanation:

1) if a polygon has 4 right angles, then it is a square is wrong since in the statement a square has all its angles as right angles but it need not imply that it is a square as it could also be a rectangle

2) polygon need not have four right angles eg:rhombous with angles 60°,60°,120°,120° is also a polygon

3) every polygon need not be a rectangle as it could be square

4) if a polygon is square, then all its angles are right angles and if all its angles are right then it is rectangle.

hence option 4 is true.