Question

Given is the right triangle
with altitude
. Which statement, once proven, will imply that
?
Statement #1:
Statement #2:
Statement #3:
(1 point)
ABC CO
a = cx 2
△ABC ≅△ACO
△ABC ≅△CBO
△ACO ≅△CBO

Answer 1

I don’t have the full sentence of the question — what is the thing you want to conclude (e.g. AC = BC, ∠A = ∠B, AO = OB, …)? Could you paste the missing part?

If the intended conclusion is that AC = BC (or equivalently ∠A = ∠B, triangle ABC is isosceles), then Statement #3 (△ACO ≅ △CBO) is the one that would imply that: if the two small right triangles formed by the altitude are congruent, then corresponding sides AC and BC are equal (and also AO = OB, ∠A = ∠B, etc.).