question says to graph a triangle (xyz) and reflect it over the line y=x to create triangle x'y'z'.
we know that line y=x has both coordinates equal like (1,1), (5,5) etc so we can easily graph that reflecting line.
description of transformation:
we can see that x and y coordinate gets switched after transformation like (2,8) changed to (8,2)
what do you notice about the two line segments you drew:
we see that line segments xp and x'p are of same length and perpendicular to the reflecting line y=x.
do you think you would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line? :
yes, i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line.
how do you know? :
by measuring the length of yk and y'k.