Which piece of additional information can be used to prove △cea ~ △cdb?

a) ∠bdc and ∠aed are right angles
b) ae ≅ ed
c) △bdc is a right triangle
d) ∠dbc ≅ ∠dcb

Answer-

The correct answer is

∠BDC and ∠AED are right angles

Solution-

In the ΔCEA and ΔCDB,

As this common to both of the triangle.

If ∠BDC and ∠AED are right angles, then

Now as

∠BCD = ∠ACE and ∠BDC = ∠AED,

∠DBC and ∠EAC will be same. (as sum of 3 angles in a triangle is 180°)

Then, ΔCEA ≈ ΔCDB

Therefore, additional information can be used to prove ΔCEA ≈ ΔCDB is ∠BDC and ∠AED are right angles.

x=6 and x=3

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