Question

9. The triangle in the graph will be reflected over the x-axis and then over the y-axis.A-7-5-64-2.1VE2 3 4 5 6 75АWhich transformation of the triangle would produce the same image?retlection over the line 3 -Brotation 180 counterclockwise about the onginCretlection over the axis and a translation of 4 units downDrotation 90 clockwise about the origin and a translation of 4 units to the left

Answer 1

Reflection over the x-axis transforms the point (x, y) into (x, -y)

Reflection over the y-axis transforms the point (x, y) into (-x, y)

Then, if the same point (x,y) is reflected over both axis, the final result is the point (-x, -y)

Rotation 180° counterclockwise about the origin transforms the point (x, y) into (-x, -y)

Therefore, Reflection over the x-axis and the y-axis is equivalent to rotation 180° counterclockwise about the origin