Question

If a, b, c, and d are coplanar lines and a is parallel to b, b is perpendicular to c, and c is parallel to d, then which statement must be true?

d is perpendicular to c.
d is perpendicular to a.
d is parallel to b.
c is parallel to a.

Answer 1

d must be perpendicular to a because d is parallel to c. c is perpendicular to b. b is parallel to a.

Answer 2

Answer: The second option is correct i.e. d is perpendicular to a

Step-by-step explanation: Given : a || b

b ⊥ c

c || d

Since b ⊥c and c || d therefore

∴b will be ⊥ d

and a || b

⇒ a ⊥ d

or d is perpendicular to a