104k views
3 votes
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 as a 90-degree clockwise rotation? Explain
why or why not.

User MauMen
by
4.9k points

2 Answers

5 votes

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.

User Janak Kanani
by
5.3k points
3 votes

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.

Explanation:

ITS CORRECT. EDGE 2020

User AGMG
by
4.9k points