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?
1 answer:
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
You might be interested in
Answer:
Step-by-step explanation:
The expression equivalent to
Hope it helps :)
Answer:
1) True 2) False
Step-by-step explanation:
1) Given
To verify that the above equality is true or false:
Now find
Expanding the summation we get
Now find
Expanding the summation we get
Comparing the two series we get,
so the given equality is true.
2) Given
Verify the above equality is true or false
Now find
Expanding the summation we get
now find
Expanding the summation we get
Comparing the series we get that the given equality is false.
ie,