if a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)

The coordinates of D are (1,-12) .

Step-by-step explanation:

Given : Translation rule : (x, y) → (x + 6, y – 10)  is applied to figure ABCD.

From the figure below, we have figure ABCD in which

The coordinates of D = (-5,-2)

According to the given translation rule :

D(-5,-2) → D'(-5 + 6, -2 – 10)    (coordinates of image point D')

i.e. D(-5,-2) → D'(1, -12)    [-5+6 = 1, -2-10 = -12]

Hence, the coordinates of D are (1,-12) .

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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.