A parallelogram must be a rhombus if its diagonals
(1) are congruent(2) bisect each other(3) do not bisect its angles(4) are perpendicular to each other
Answer and Explanation:
A rhombus is a parallelogram with four congruent sides. However, this questions is asking us about diagonals. A parallelogram will be a rhombus if its diagonals bisect pairs of opposite angles, but not each other, making choice 2 wrong. Also, If a parallelogram is a rhombus, the diagonals are perpendicular, making choice 4, the correct answer choice.
Learn more about our incredible math tutors online here.
See Also
Diagonals of Different Polygons | What is Diagonal in Geometry?Diagonals of Parallelograms, Rectangles, and Rhombi (Video & Practice)Rhombuses_Kites_and_TrapeziaABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (i) ABCD is a square (ii) diagonal BD bisect ∠B as well as ∠D