Do you think a sequence of translations across the x- or y- axis and/or reflections on a figure could result in the same image a

Question

max2010maxim [7]

1 year ago

7

Do you think a sequence of translations across the x- or y- axis and/or reflections on a figure could result in the same image a

s a 90- degree clockwise rotation? Explain why or why not

Mathematics

2 answers:

vlabodo [156] · Answer 1 · 2023-12-10T08:36:08+03:00

I think just two reflections would do it.

First we reflect around y = -x, the 45 degree line through the origin and the second and fourth quadrant.

Then we reflect through the y axis, x=0.

The composition of the two reflections is equivalent to a 90 degree clockwise rotation.

faust18 [17] · Answer 2 · 2023-12-10T10:52:44+03:00

Answer:

No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.

Step-by-step explanation:

*It is not possible.

*The coordinates need to be reversed.

*You cannot reverse coordinates using only reflections and translations.