Select from the drop-down menus to correctly complete the statement. the rule (x, y)→(x−6, y−7) represents a translation 6 units and 7 units . drop down menu options: right left up down

Hence the correct statement of the given rule is:

     The rule (x, y)→(x−6, y−7) represents a translation 6 units left and 7 units down.

We are given a rule of transformation as:

         (x, y)→(x−6, y−7)

As we know that if there is a shift in the coordinates of x and y some units than the transformation that holds is a translation transformation.

Now from the rule we may observe that the x-ordinate is shifted 6 units to the left and the y-ordinate is shifted 7 units down.

( Since if there was a triangle whose one vertex was at (0,0)

Now the transformed triangle has that transformed vertex at (-6,-7) )