Question

Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Quadrilateral EFGH is the image.

ABCD A(-4,-1)B(-1,-4)C(-2,-8)D(-5,-4)

EFGH
E(0,-6)F(3,-9)G(2,-13)H(-1,-9)

Answer 1

the type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.