Question

What is the translation from quadrilateral EFGH to
quadrilateral E'F’G’H

Answer 1

The translation from quadrilateral EFGH to quadrilateral E'F'G'H' is
`T_((2, -4))`, which is two units to the right (x direction) and 4 units down (negative y direction)

Explanation:

The coordinates of quadrilateral EFGH are;

Point E has coordinates (-1, 1)

Point F has coordinates (0, 4)

Point G has coordinates (3, 1)

Point H has coordinates (3, 0)

The coordinates of the translation are;

Point E' has coordinates (0, -3)

Point F' has coordinates (1, 0)

Point G' has coordinates (4, -3)

Point H' has coordinates (4, -4)

The change in the y-coordinate values (y values) are;

From point E to point E', we have;

(-3 - 1) = -4 which is four units down

The change in the x-coordinate values (x values) are;

From point E to point E', we have;

(0 - (-1)) = 2 which is two units to the right

The total change in translation is
`T_((2, -4))`.