as a graded class activity, your teacher asks your class to reflect a triangle across the y-axis and then across the x-axis. Your classmate gets upset because he reversed the order of these reflections and thinks he will have to start over. What can you say to your classmate to help him?

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb