What kind of translation has performed to map quadrilateral ABCD to quadrilateral EHGF

Question

Quadrilateral ABCD has been translated 9 units left and 3 units up.

Quadrilateral ABCD has been translated 3 units left and 9 units up.

Quadrilateral ABCD has been translated 3 units right and 9 units down.

Quadrilateral ABCD has been translated 9 units right and 3 units down.

Answer 1

To determine the translation that maps quadrilateral ABCD to quadrilateral EHGF, we need to analyze the translation based on the options provided.

1. Translate 9 units left and 3 units up: This means every point (x, y) of quadrilateral ABCD becomes (x - 9, y + 3).

2. Translate 3 units left and 9 units up: This means every point (x, y) of quadrilateral ABCD becomes (x - 3, y + 9).

3. Translate 3 units right and 9 units down: This means every point (x, y) of quadrilateral ABCD becomes (x + 3, y - 9).

4. Translate 9 units right and 3 units down: This means every point (x, y) of quadrilateral ABCD becomes (x + 9, y - 3).

To find the correct translation, one needs to know the coordinates of both quadrilaterals ABCD and EHGF. Measure the difference in x-coordinates and the difference in y-coordinates to see which option correctly translates points from ABCD to EHGF.

Without the specific coordinates of quadrilaterals ABCD and EHGF, it's impossible to definitively identify which translation is correct; you'll have to calculate based on the coordinates.