Question

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

a)congruent triangles
b)similar triangles
c)congruent rectangles
d)similar rectangles
Answer: Jiren is too strong. (congruent triangles)

Answer 1

The answer to this question is A)Congruent Triangles.

Hope I helped you :D

Answer 2

Option: A is correct (congruent triangles)

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.

• Triangle CMD is congruent to triangle AMB.

• 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