Question

Which completes the syllogism?
All rectangles are parallelograms.
All squares are rectangles.
Therefore, ________________

A. all squares have four sides.
B. all squares are parallelograms.
C. all squares are polygons.
D. all polygons are squares.

I think its B

Answer 1

\[p\rightarrow q\]
\[q\rightarrow r\]
\[p\rightarrow r\]

Looks legit to me.

Answer 2

Oh, so is B correct?

Answer 3

It does follow directly from the previous two statements.
A and C are true statements, but logical arguments are valid based on form, not truth-value. D is false, but more importantly, nothing in the first two lines of the syllogism mentions polygons.

Answer 4

True! Then B it is!