Hexagon defghi is translated on the coordinate plane below to create hexagon d'e'f'g'h'i': hexagon defghi and hexagon d prime e prime f prime g prime h prime i prime on the coordinate plane with ordered pairs at d negative 6, 6, at e negative 3, 6, at f negative 1, 4, at g negative 3, 1, at h negative 6, 1, at i negative 8, 4, at d prime 1, negative 1, at e prime 4, negative 1, at f prime 6, negative 3, at g prime 4, negative 6, at h prime 1, negative 6, at i prime negative 1, negative 3 which rule represents the translation of hexagon defghi to hexagon d'e'f'g'h'i'?

Step-by-step explanation:

The rule of translation h unit horizontally shift and k unit vertically shift is given by:

As per the statement:

From the given figure:

The vertices of the Hexagon DEFGHI are:

D(-6, 6), E(-3, 6), F(-1, 4), G(-3, 1), H(-6, 1) and I(-8, 4)

The  vertices of the Hexagon D'E'F'G'H'I' are:

D'(1, -1), E'(4, -1), F'(6, -3), G'(4, -6), H'(1, -6) and I'(-1, -3)

Using the rule of translation to find h and k:

Consider any vertices of DEFGHI

Given: D'(1, -1)

D'(-6+h, 6+k)  =D'(1, -1)

On comparing we have;

-6+h = 1 and 6+k = -1

⇒ h = 7  and k = -7

⇒Rule of translation we get, (x+7, y-7)

Therefore, the rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I' is:

$9.41

step-by-step explanation: