Suppose tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (5, 8). after leaving the theater tommy walks to the store at (5, 0) before returning home. if each grid square represents one block, how many blocks does he walk?

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.