Question

if AB=EF and EF=PQ then AB=________​

Answer 1

Answer:

Step-by-step explanation:

We will first understand the fact that if line 1 is equal to line 2 and line 2 is equal to line 3, then line 3 and line 1 are also equal then find out which of the options is correct.

Complete step-by-step answer:

Since, it is given to us that AB = CD ……………(1)

Now it is also given that CD = EF ……………(2)

If we consider both the equations (1) and (2) and equate them, we will then get:-

⇒ AB = CD = EF

Now, we can remove CD from it, so we get AB = EF.

Hence, the option (C) is definitely correct.

Now, we are also given that EF = PQ ……………(3)

If we consider both the equations (2) and (3) and equate them, we will then get:-

⇒CD = EF = PQ

Now, we can remove EF from it, so we get CD = PQ.

Hence, the option (B) is definitely correct.

If we consider the equations (1), (2) and (3) and equate them, we will then get:-

⇒AB = CD = EF = PQ

Now, we can remove CD and EF from it, so we get AB = PQ.

Hence, the option (A) is definitely correct.

Now, since AB = CD. Therefore, AB≠CD is not possible.