What must be given to prove that δbdf ~ δcae?

a.) ∠gbh ≅ ∠ich and ∠bfd ≅ ∠cea

b.) segment bh is congruent to segment ch & segment bg is congruent to segment ci

c.) ∠gbh ≅ ∠ich and ∠big ≅ ∠cgj

d.) segment bh is congruent to segment ch & segment hg is congruent to segment hi

The correct option is A.

Step-by-step explanation:

We have to prove ΔBDF and ΔCAE are similar.

Two triangles are called similar if  their corresponding interior angles are same or the corresponding sides are in a proportion.

According to the property of similarity, if two corresponding angles of triangles are same then the triangles are similar.

To prove,

The required conditions are

   .... (1)

  .... (2)

    .... (3)

If any two conditions from the above mentioned conditions are given then we can say that the ΔBDF and ΔCAE are similar.

Only option A satisfies the condition 1 and 3 because,

If these angles are congruent, then by AA rule of similarity ΔBDF and ΔCAE are similar.

Option A is correct.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.