Graph the image of the figure after a dilation with a scale factor of 2 centered at (−7, −2) .

use the polygon tool to graph the quadrilateral by connecting all its vertices.

See image and explanation

Step-by-step explanation:

Point (-7,-2) is the center of dilation. The scale factor is 2.

If point A has coordinates (-3,-2), then its image point H has coordinates (1,-2).

If point B has coordinates (-6,2), then its image point E has coordinates (-5,6).

If point C has coordinates (-4,3), then its image point F has coordinates (-1,8).

If point D has coordinates (-1,1), then its image point G has coordinates (5,4).

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.