Do the diagonals of a parallelogram bisect the angles?
Understand the Problem
The question is asking whether the diagonals of a parallelogram intersect at angles that are each bisected by the diagonals. This involves understanding the properties of parallelograms and their diagonals.
Answer
No, except in special cases (rhombus, square).
The diagonals of a parallelogram do not generally bisect the angles, except in special cases like a rhombus or a square.
Answer for screen readers
The diagonals of a parallelogram do not generally bisect the angles, except in special cases like a rhombus or a square.
More Information
In general, for a parallelogram, the diagonals bisect each other but do not bisect the angles. However, in special cases like rhombuses and squares, the diagonals do bisect the angles.
Tips
Assuming diagonals bisect the angles for all parallelograms is incorrect. This only holds true in special cases.
Sources
- Do diagonals of a parallelogram bisect angles? - homework.study.com
- A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? - cuemath.com
- In a parallelogram, does the diagonal bisect the angles that they meet? - math.stackexchange.com
