When you start from a given set of rules and conditions and determine what must be true, you are using reasoning. A. deductive
B. conductive
O C. inductive
O D. conjunctive

Deductive reasoning

Step-by-step explanation:

Deductive reasoning is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion

The answer is A Deductive

Step-by-step explanation:

Deductive Reasoning--

In this logical process we start by taking a set of premises which are assumed to be true i.e. we start with a general set of information and reach to a certain or specific conclusion.

It is also known as: top-down logic.

It is opposite of inductive reasoning.

Example--

All dogs can bark.

Rocky is a dog.

Rocky can bark.

Credit to this answer goes to Lidaralbany

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.