Question

Given ∠C ≈ ∠B and ∠BDA is a right angle, are the two triangles, ΔBDA and ΔCDA congruent? If so, by what criterion? A)yes, by AA criterion B)yes, by SAS criterion C)yes, by SSA criterion D)yes, by AAS criterion

Answer 1

Solution:

 In Δ C DA and in ΔB DA,

As, image of the problem is not given, there are two ways in which image of the problem can be drawn describing the problem.

∠BDA=90° →→Given

→∠C = ∠B→→[Given]

→Side AD is common between two triangles.

and ,→Either→∠ BDA=∠CDA=90° ∨ or →∠B DA=∠CA D=90°  .

→Δ C DA ≅ ΔB DA,→→[S AS]

Option (B) Yes, Δ C DA ≅ ΔB DA, by SAS criterion.

Answer 2

D) yes by AAS criteria. Because they share