Question

Figure X is translated down 5 and then reflected over the y-axis, forming figure Y.

On a coordinate plane, triangle X has points (1, 3), (4, 3), (3, 2). Triangle Y has points (negative 4, negative 2), (negative 1, negative 2), (negative 3, negative 3).

Which sequence of transformations results in the same transformation?
a translation left 5 units and then a reflection over the x-axis
a translation left 5 units and then a translation down 5 units
a 180Degrees rotation using the origin as the center of rotation
a reflection over the y-axis and then a translation down 5 units

Answer 1

Answer:

Option D.) a reflection over the y-axis and then a translation down by 5 units.

Step-by-step explanation:

i) the sequence of transformations that will give required result is

 Option D.) a reflection over the y-axis and then a translation down by 5 units.

Answer 2

Answer:

A reflection over the y-axis and then a translation down 5 units

Step-by-step explanation:

The figure is showed in the image attached.

You can notice that the image was reflected over the y-axis. Therefore, the right choice is the last option.

Other choices are not right because they don't include a reflection over the y-axis. Notice that the 180° rotation won't give the same position as the transformed figure.