Which concept can be used to prove that the diagonals of a parallelogram bisect each other?
2 answers:
The answer to this question is A)Congruent Triangles.
Hope I helped you :D
Answer:
Option: A is correct (congruent triangles)
Step-by-step explanation:
To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:
- Angle DBA is congruent to angle BDC.
- Angle CMD is congruent to angle AMB.
- <em>Triangle CMD is congruent to triangle AMB.
</em>
- Segment AM is congruent to segment MC.
- M is the midpoint of segment AC.
- Segment BD bisects segment AC.
- Segment BM is congruent to segment MD.
- M is the midpoint of segment BD.
- Segment AC bisects segment BD.
Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.
Hence, option A is correct
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