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Vsevolod [243]
3 years ago
13

In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i

s congruent to Triangle CBD. Considering strictly the information that was given, what sequence of reasons can you use to prove that Triangle ABD is congruent to Triangle CBD?

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

1. AD ≅ DC                                    1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC                        2. Right angles

3. BD ≅ BD                                   3. Reflexive

4.  Δ ABD ≅ Δ CBD                      4. By SAS postulate of congruence


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