How does the graph g(x)=1/x+4-6 compare to the graph of the parent function f(x)=1/x

Which triangle congruence postulate or theorem justifies my claim that the steps i made using construction paper and scissors produce an isosceles triangle? was it sss, sas, asa, aas, or hl?

The parabola opens: y=√x-4 (principal square root) up down right left

Choose the number sentence that shows the identity property of addition. a. 122 = 61 + 61 b. 62 = 1 + 61 c. 61 = 0 + 61