Is there enough information to conclude that the two triangles are congruent? if so, what is a correct congruence statement? question 18 options: yes;   δcab   ≅ δdac yes; δabc   ≅ δacd yes;   δacb   ≅ δacd no, the triangles cannot be proven congruent.

Yes,  Δ ACB  ≅ Δ ACD

Step-by-step explanation:

Since, Here ABD is a triangle in which AB = AD

Therefore, ABD is the isosceles triangle,

Also, AC is altitude of the  isosceles triangle ABD.

Therefore, AC will be the median of the triangle ABC ( By the property of isosceles triangle )

Thus, BC = CD

Now, In Δ ACB and Δ ACD,

AB ≅ AD (given)

CB≅CD ( Because CB= CD)

And, AC≅AC  ( Reflexive)

Therefore By SSS postulate of congruence,

Δ ACB ≅Δ ACD

Thus, Third Option is correct.

p

step-by-step explanation: