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?

The short answer is yes

Step-by-step explanation:

No, it is not possible.

If you reflect over the x axis first, then the y axis next, then you'll perform a 180 degree rotation. The same can be said if you do a y axis reflection first, then x axis reflection next.

In order to perform a 90 degree clockwise rotation, we would need to reflect over the line y = x and y = 0 in either order. The line y = 0 is the same as the x axis.

The line y = x splits the first quadrant into two equal pieces. The angle between y = x and y = 0 is 45 degrees which doubles to 90 degrees. So we can see the relationship between the angle of rotation and the angle between the lines of reflection.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you