Match the reasons with the statements in the proof to prove that triangle abc is congruent to triangle abd, given that ab ⊥ bd, ab ⊥ bc, and ac = ad. given: ab ⊥ bd ab ⊥ bc ac = ad prove: △abc ≅ △abd ?

Concept:
When we show the congruency between two right triangles having equal hypothesis then we use the Hypothesis-Leg ( HL) theorem.

Solution:

Given that 
                  m AC = m AD ( measure of hypothesis of one right triangle is                                                     equal to the measure of hypothesis of other                                                       triangle)
As, AB ⊥ BD and also AB ⊥ BC
So, 
                  AB ≅ AB   ( side(leg) is self congruent ) 
Now,
According to HL(Hypothesis-Leg ) theorem △ABC ≅ △ABD.