The two triangles below are congruent by which case of congruence? SSA SAS ASA HL

Hey there!

To solve this problem, we'll use the slope given two points formula:

y2-y1/x2-x1

Now, we can plug in our values from our points, (-9, 5) and (-8, w). We'll have to set that equal to four, as we know that since that formula gives us slope, if we have slope, we have to set it equal. We have:

w-5/-8-(-9) = 4
w-5/-8+9 = 4
w-5/1 = 4
w-5 = 4
w = 9

Now, to check we can plug 9 back in and have (-9, 5) and (-8, 9). Thus,

9-5/-8-(-9) = 4
4/-8 + 9 = 4
4/1 = 4
4 = 4

Therefore, w equals 9.

Hope this helps!