You are playing an Algebra 1 board game with your friends in Mr. Harris's class. It is your turn. You roll the dice and move your token to the next box in the board. You are in the Arithmetic Sequence section of the game. You pick a clue card and one of your partners asks you a question. In order to stay alive in the game, you need to answer correctly. You pick the card below.

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.

step-by-step explanation: