Question

A square is translated 3 units left and 5 units down. Then the image is translated 4 units right and 2 units down. Describe the translation of the ending position to the original square.

A) It is translated 7 units right and 7 units up.
B) It is translated 1 unit right and 3 units up.
C) It is translated 3 units left and 7 units down.
D) It is translated 1 unit left and 3 units down.

Answer 1

The final position of the square, after two translations, is 1 unit to the right and 7 units down from the original position.

Step-by-step explanation:

The question involves a series of translations of a square in a coordinate system. The square is first translated 3 units to the left (which means horizontally to the left side of the coordinate system) and 5 units down (which means vertically downward in the coordinate system). It is then translated 4 units to the right (horizontally to the right side of the coordinate system) and 2 units down again.

To determine the overall translation from the original position, we add up the horizontal and vertical movements. Horizontally, moving 3 units left and then 4 units right results in a net movement of 1 unit to the right. Vertically, moving 5 units down and then 2 units down results in a net movement of 7 units down. Therefore, the ending position is translated 1 unit to the right and 7 units down from the original square.