What are the coordinates of the image of ()4, 2after a rotation by 90counterclockwise about the origin followed by a reflection across the x-axis? Use the of the grid below is optional (although advised). 1. (4,-2)
2.(-2,-4)
3.(-4,-2)
4.(2,4)

(2,4)

Step-by-step explanation:

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step-by-step explanation:

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.