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Do the diagonals of a parallelogram bisect each other at a right angle?
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False
Are diagonals of a parallelogram perpendicular?
Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles
Would each diagonal of a rhombus bisect a pair of opposite angles Choices A never B sometimes C always?
Each diagonal of a rhombus would never bisect a pair of opposite angles, but the diagonals are perpendicular to each other
Do the diagonals of a parallelogram bisect each other?
Yes, they do. Also, they are congruent to each other. * * * * * They do bisect each other but they are not congruent.
What Prove that if two chords of a circle bisect each other then the two chords are diameter of the given circle?
If two chords of a circle bisect each other, they must intersect at a point that is equidistant from both endpoints of each chord. By the properties of circles, the perpendicular bisector of any chord passes through the center of the circle. Since the two chords bisect each other at the same point and are both perpendicular to the line connecting their endpoints, this point must also be the center of the circle, making both chords diameters of the circle. Thus, if two chords bisect each other, they are indeed diameters of the circle.
The diagonals of a rhombus are .?
perpendicular and bisect each other
Do the diagonals of a rhombus bisect each other?
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
Are diagonals congruent if they bisect each other?
Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.
What shape has congruent diagonals that bisect each other but are not perpendicular?
Rectangle
What quadrilateral has diagonals a are congruent perpendicular and bisect each other?
square
Must a bisector of a segment always be a perpendicular line?
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
Do the diagonals of a parallelogram bisect each other at a right angle?
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
Does a rhombus have diagonals that are perpendicular?
Yes they bisect each other at 90 degrees
What are the diagnols of a rhombus?
They are perpendicular and therefore bisect each other at right angles
What is the name of the quadrilateral that are perpendicular and bisect each other?
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
What is special about the diagonal lines of a Rhombus?
They bisect each other at 90 degrees. They are the perpendicular bisectors of each other.
