Question

What are the missing statement and reason in step 2 of the proof?

a. statement: ∠bac ≅ ∠acd reason: alternate interior angles theorem
b. statement: δabc ≅ δcda reason: sss criterion for congruence
c. statement: ab ≅ cd, bc ≅ ad reason: given
d. statement: ab ∥ cd, bc ∥ ad reason: definition of a parallelogram

Answer 1

In step 2 of the proof, the missing statement and reason are: Statement: δabc ≅ δcda; Reason: SAS criterion for congruence.

Step-by-step explanation:

In step 2 of the proof, the missing statement and reason are:

1. Statement: δabc ≅ δcda
2. Reason: SAS criterion for congruence

The SAS criterion for congruence states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Answer 2

In step 2 of the proof, the missing statement is ab ≅ cd, bc ≅ ad and the missing reason is the definition of a parallelogram.

Step-by-step explanation:

Step 2 of the proof involves filling in missing statement and reason. The missing statement is ab ≅ cd, bc ≅ ad and the reason is given. We can use the given information to conclude that the opposite sides of the parallelogram are congruent. The missing reason for step 2 is the definition of a parallelogram, which states that opposite sides are parallel. Therefore, the missing statement and reason in step 2 are:

Statement: ab ≅ cd, bc ≅ ad

Reason: definition of a parallelogram