Question

using structure

1. quadrilateral defg has vertices d(-1,2), e(-2,0), f(-1,-1), and g(1,3). a translation maps quadrilateral defg to quadrilateral defg. the image of d is d(-2,-2). what are the coordinates of e, f, and g?

Explanation:

Step1: Find translation vector

Original D(-1,2) → D'(-2,-2). Δx=-2-(-1)=-1, Δy=-2-2=-4. Vector: (-1,-4).

Step2: Calculate E'

E(-2,0) + (-1,-4) = (-3,-4).

Step3: Calculate F'

F(-1,-1) + (-1,-4) = (-2,-5).

Step4: Calculate G'

G(1,3) + (-1,-4) = (0,-1).

Answer:

E'(-3,-4), F'(-2,-5), G'(0,-1)