Question

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′:

Answer 1

The rule that represents the translation of hexagon DEF GHI to hexagon D′E′F′G′H′I′ is

(x, y)→(x + 3, y + 3) (x, y)→(x - 3, y - 9) (x, y)→(x - 9, y - 3) (x, y)→(x + 9, y + 9) 2 | 3'

This is further explained below.

Which rule represents the translation of hexagon DEFGHI to hexagon D′E′F′G′H′I′?

Generally, A translation is a kind of geometric transformation that is used in Euclidean geometry. This type of transformation involves moving each point of a figure, shape, or space by the same distance in a certain direction.

Alternately, a translation may be seen as the process of adding a constant vector to each point, or it can be understood as the process of moving the origin of the coordinate system.

In conclusion, Hexagon DEF GHI can be converted to D′E′F′G′H′I′ according to the rule

(x, y)→(x + 3, y + 3) (x, y)→(x - 3, y - 9) (x, y)→(x - 9, y - 3) (x, y)→(x + 9, y + 9) 2 | 3'

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