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Is the diagonals of a parellelogram perpendicular?

That is true for some parallelograms but not all. For example, the diagonals of a rhombus, kite or square are perpendicular, but those of a rectangle or general parallelogram are not.


What is an example of a quadrilateral with diagonals that are congruent but do not bisect each other?

trapezoid


What is an example of a quadrilateral whose diagonals are congruent but do not bisect each other?

I think this is impossible the diagonals of a four sided figure will cross


Can a line segment form a perpendicular bisector?

Yes as for example the diagonals of a square


What quadrilateral can have diagonals that are congruent but do not bisect each other?

A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.


If a quadrilateral is a parallelogram and the diagonals are perpendicular then is it a square?

By that description, all the sides are parallel and have 90 degree angles... But the sides aren't necessarily the same length. So a square is one example, but you could also have a long rectangle. apex=False


Are a trapezoid's diagonals ever perpendicular?

Yes, they can be. Here is an example to see how this is true. Construct two perpendicular lines AB and CD that intersect at a point O. Let AO = CO, BO = DO and AO ≠ BO, then ABDC forms an isosceles trapezoid. If the lines are not perpendicular, then also ABDC is an isosceles trapezoid and it has perpendicular diagonals.


How do you draw a quadrilateral with diagonals which bisect each other don't intersect at right angles and are not lines of symmetry?

To draw a quadrilateral with diagonals that bisect each other but do not intersect at right angles or serve as lines of symmetry, start by sketch a convex quadrilateral, such as a parallelogram. Ensure that the lengths of the diagonals are unequal and that they cross each other at a point that isn't the midpoint of the quadrilateral's sides. For example, you could create a rhombus where the diagonals are of different lengths, ensuring they meet at an angle other than 90 degrees. Finally, label the points and confirm that the diagonals intersect at their midpoints but do not create symmetrical halves of the shape.


A shape that has 4 lines of symmerty?

A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.


What are the diagonals in a quadrilateral?

The diagonals in a quadrilateral are the (usually imaginary) straight lines that go through the inside of the shape from one vertex to another. For example, say you have a square (a quadrilateral) consisting of points A, B, C, and D. They are all connected on edges going A to B, B to C, C to D, and D to A. Envisioning this shape in your mind, you would likely imagine the inside of the square being blank. There would be two diagonals in a shape like this (as well as in every quadrilateral) being the lines going from A, through the center of the square, to C, and the other being the line going from B, through the center, to D.


What is Justification Math?

Justification is a written reason for why you made a statement. For example if you say a figure is a Square then you would say something like the diagonals are both congruent and perpendicular to each other.


Example for perpendicular lines?

|_ example of a perpendicular line is shown above: