Question

the coordinates of quadrilateral efgh and its image, quadrilateral efgh, are given below. quadrilateral efgh: e(-5, 5), f(-3, 4), g(-2, 1), h(-4, 2). quadrilateral efgh: e(-5, 2), f(-3, 1), g(-2, -2), h(-4, -1). which single transformation maps quadrilateral efgh to quadrilateral efgh? a translation of 3 units down a translation of 3 units up a translation of 3 units to the right a translation of 3 units to the left

Explanation:

Step1: Analyze x - coordinates

The x - coordinates of the corresponding vertices of EFGH and E'F'G'H' are the same. For example, for point E, $x_E=-5$ and $x_{E'}=-5$, for point F, $x_F = - 3$ and $x_{F'}=-3$, etc.

Step2: Analyze y - coordinates

For point E, $y_E = 5$ and $y_{E'}=2$, $y_E-y_{E'}=5 - 2=3$. For point F, $y_F = 4$ and $y_{F'}=1$, $y_F - y_{F'}=4 - 1 = 3$. For point G, $y_G=1$ and $y_{G'}=-2$, $y_G-y_{G'}=1-(-2)=3$. For point H, $y_H = 2$ and $y_{H'}=-1$, $y_H-y_{H'}=2-(-1)=3$. The y - coordinates of the vertices of E'F'G'H' are 3 less than the y - coordinates of the vertices of EFGH.

Answer:

A. a translation of 3 units down