What sequence of transformations, when applied to △ABC, shows that ​ ​△ABC​ ​ is similar to △A′B′C′? dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right

translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12

translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12

dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left

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.

i use my brain for prombles like this maybe you could try it

step-by-step explanation: