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Feliz [49]
3 years ago
7

What is the missing reason in the proof?

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer:

Option 2.

Step-by-step explanation:

Given information: ABCD is a parallelogram with diagonal BD.

Prove: ΔABD ≅ΔCDB

Proof:

Definition of parallelogram: Opposite sides of a parallelogram are parallel and congruent.

Alternate interior angle theorem : If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

ASA postulate: If two corresponding angles and their included side are congruent, then both triangles are congruent.

Statement                                     Reason

1. AD║BD                                 1. Definition of parallelogram.

2. ADB≅CBD                           2. Alternate interior angle theorem.

3. AB║CD                                 3. Definition of parallelogram.

4. ABD≅CDB                           4. Alternate interior angle theorem.

5. DB≅DB                                5. Reflexive property of congruence

6. ΔABD ≅ΔCDB                    6. ASA

The missing reason is "Definition of parallelogram".

Therefore, the correct option is 2.

djverab [1.8K]3 years ago
3 0

the answeris segment addition


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