Question

If a || b and _____, then a || c.

b perpendicular c

b || c

a perpendicular c


b perpendicular a

Answer 1

Hello!

The answer is:

The correct option, is the second option:  

b || c ( b and c are parallel).

Why?

To solve the problem, let's remember the following relationship:

If:

$a=b$

and

$b=c$

Then:

$a=c$

So, from the statement we know that a and b are parallel (a || b), so, if a and c are parallel ( a || c) it means that b and c are parallel ( b || c).

Hence, the correct option is:

The second option, b || c ( b and c are parallel)

Have a nice day!