Question

A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) .

Select the phrase from the drop-down menu to correctly describe the translation.
The square was translated

A. 2 units down
B. 10 units down
C. 10 units to the left
D. 2 units to the left

Answer 1

All of the x values are the same so it is not moving left or right.
The y values are changing by being 2 less than the original.
If you subtract 2 from each y value you get the new set of ordered pairs.
It is moving 2 units down
Letter A

Answer 2

Solution: The correct option is option A, it means the graph of square was translated 2 units down.

Step-by-step explanation:

The translation of shape is the process of shifting the shape from one place to another with any other change. There are two types of shifting vertical and horizontal.

If the shape shifted vertically then it will effect only the y-coordinates of the figure. If the shape is shifted
`a` units up then all the y-coordinates of shape increased by
`a` units and if the shape is shifted
`a` units down then all the y-coordinates of shape decreased by
`a` units .

If the shape shifted horizontally then it will effect only the x-coordinates of the figure. If the shape is shifted
`a` units to the right then all the x-coordinates of shape increased by
`a` units and if the shape is shifted
`a` units to the left then all the x-coordinates of shape decreased by
`a` units .

It is given that the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6,-4).

After translation the vertices of the square are ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) .

From the above information it is noticed that there is no change in the x-coordinates but y-coordinate is decreased by 2 units. Therefore vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) .