Question

Select the valid conjecture by the Law of Syllogism.

Given:
If a figure is a square, then the figure is a rectangle.
If a figure is a rectangle, then it is a parallelogram.

a.If a figure is a parallelogram, then it is a square.
b.If a figure is a square, then it is a parallelogram.
c.If a figure is a parallelogram, then it is a rectangle.
d.If a figure is a rectangle, then it is a square.

Answer 1

If you write this with arrows, things will make more sense. For example, here \[Square\rightarrow Rectangle\] and \[Rectangle\rightarrow Parallelogram\] The law of syllogism says if \[A\rightarrow B\] and \[B\rightarrow C\] then \[A\rightarrow C\] So here, we deduce that \[Square \rightarrow Parallelogram\]