In the figure below, figure abcd is similar to figure wxyz. what is the length of side xy?

XY = 150

Step-by-step explanation:

AB = 8

W Z = 80

SF = 10

8 x 10 = 80

So if BC = 15

XY = 15 x 10 = 150

Step-by-step explanation:

you can solve with a proportion

8 : 15 = 80 : x

x = 15 * 80 : 8

x = 150

or you find the rate from AD and WZ

8 : 80

simplify

1 : 10

15 * 10 = 150

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.