To determine the correct translation that maps quadrilateral ABCD to quadrilateral EHGF, we need to find the difference in positions of corresponding points from the two quadrilaterals.
If we know the coordinates of the points in quadrilateral ABCD (for example A(x1, y1), B(x2, y2), C(x3, y3), D(x4, y4)) and the corresponding points in quadrilateral EHGF (E(x1', y1'), H(x2', y2'), G(x3', y3'), F(x4', y4')), we can calculate the translation vector by:
- Calculating the change in the x-coordinates (x1' - x1).
- Calculating the change in the y-coordinates (y1' - y1).
If we find that the x-coordinates have decreased by 3 and the y-coordinates have increased by 9, then the translation is 3 units left and 9 units up.
Without the specific coordinates, we can only rely on the wording provided in the options. If you can observe that quadrilateral EHGF is positioned to the left and above quadrilateral ABCD, the correct response from the options given is:
Quadrilateral ABCD has been translated 3 units left and 9 units up.
3 answers