Question

The chart below shows the coordinates for the vertices of Quadrilateral DEFG. Quadrilateral DEFG undergoes a translation of 2 units to the right, resulting in Quadrilateral D'E'F'G'. What are the coordinates of the vertices for new quadrilateral?​

Answer 1

The movement of a point along the coordinate geometry is referred to as translation. The  coordinates of the vertices for new quadrilateral are:

$D' = (3,2)$

$E' = (8,3)$

$F' = (4,5)$

$G' = (10,6)$

Given that:

$D = (1,2)$

$E =(6,3)$

$F = (2,5)$

$G = (8,6)$

The rule of transformation for 2 units right translation is:

$(x,y) \to(x + 2, y)$

So, we have:

$D' = (1+2,2)$

$D' = (3,2)$

Using the above formula, the other coordinates are:

$E' = (8,3)$

$F' = (4,5)$

$G' = (10,6)$

Hence, the coordinates of the vertices for new quadrilateral are:

$D' = (3,2)$

$E' = (8,3)$

$F' = (4,5)$

$G' = (10,6)$

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