Question

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below:

Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 5,

Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'?
Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the x-axis
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis

Answer 1

Answer:

The third option is correct.

Step-by-step explanation:

The line D'E' is parallel to the y-axis.

Hence, it is clear that the image is reflected across the y-axis.

If you see closely the given image, you can see that the y ordinates of each point of the Pentagon has shifted 8 points towards the positive direction of y-axis.

Hence, the transformation for the y-coordinates will be Y = y + 8.

Now if you check the transformation for the x-coordinates, you will observe that the coordinates of D and E will be lie on x = -1. After reflection, they will lie on x = 1.