Question

State a true conclusion.

1) If B is between A and C, then AB + BC = AC.
2) Q is between R and S.

Conclusion:

Answer 1

RQ + QS = RS

Hope this helps!

Answer 2

The required Conclusion is : RS = RQ + QS

Explanation:

In Part 1, we are given that : If B is between A and C then AB + BC = AC

Then, we need to find the conclusion in Part 2 if Q is between R and S

The required conclusion can be find out by using the concept of deductive reasoning.

Deductive reasoning involves a pattern which is followed in one argument and by following the same pattern we reach to a conclusion for some other argument.

Now, If we see in Part 1 if B is between A and C then the length of line segment AC is equal to sum of its mid segments AB and BC

⇒ AB + BC = AC

Similarly, if Q is between R and S, then the length of line segment RS is equal to sum of its mid segments RQ and QS

⇒ RS = RQ + QS

Hence, The required Conclusion is : RS = RQ + QS