Question

Select the correct answer from each drop-down menu.

Since AC, MN, and DB intersect at O, ( A. Transitive property of congruence.)
( B. Linear pair postulate.)
( C. Congruent supplements theorem.)
( D. Vertical angles theorem.)

It is given that ( A. Linear pair postulate.)
( B. Vertical angles theorem.)
( C. Transitive property of congruence.)
( D. Congruent supplements theorem.).

Answer 1

The paragraph looks like:

Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.

In the question, we are asked to convert the given proof to the paragraph format, where the proof is already given to us.

The proof given to us is:

Statements________________________Reasons

1. AC, MN, and  DB intersect at O.______1. given

2. ∠AOM ≅ ∠NOC__________________2. vertical angles theorem.

3. ∠MOD ≅ ∠BON__________________3. vertical angles theorem.

4. ∠BON ≅ ∠NOC__________________4. given.

5. ∠AOM ≅ ∠MOD_________________5. transitive property of congruence.

To convert this proof to the paragraph format, we need to translate each statement along with its reason in the paragraph.

Thus, the paragraph looks like:

Since AC, MN, and DB intersect at O, ∠AOM ≅ ∠NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD.

Learn more about the transitive property of congruence at

https://brainly.com/question/2437149

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