Question

PLEASE ANSWER I NEED HELPPPPPPPP Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at negative 11 comma negative 4, negative 11 comma negative 1, negative 15 comma negative 1, negative 15 comma negative 4, negative 13 comma negative 6. Determine the line of reflection. Reflection across the x-axis Reflection across x = −6 Reflection across the y-axis Reflection across y = −6

Answer 1

I apologize for the confusion. Let me explain:

To determine the line of reflection, you can look at the coordinates of the corresponding vertices of the two polygons.

If you compare the coordinates of point A and A' (the corresponding vertices of the two polygons), you will notice that the x-coordinates are the same but the y-coordinates are different. Specifically, A has a y-coordinate of -4 and A' has a y-coordinate of -11.

This means that the line of reflection must be a horizontal line that passes through the midpoint between -4 and -11. The midpoint is (-4+(-11))/2 = -7.5. Therefore, the line of reflection is the horizontal line that passes through (-7.5, 0) on the coordinate plane, which is the y-axis.