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Are the diagonals of a trapezoid congruent?
Yes, the diagonals of a trapezoid are congruent.Another Answer:-The diagonals of a trapezoid are congruent only when it is in the form of an isosceles trapezoid.
Are the diagonals of trapezoid congruent?
Yes, the diagonals of a trapezoid are congruent.Another Answer:-The diagonals of a trapezoid are congruent only when it is in the form of an isosceles trapezoid.
What is a trapezoid with congruent diagonals?
A trapezoid with congruent diagonals is an isosceles trapezoid.
Are diagonals in a trapezoid congruent?
are the diagonals in a trapezoid congruent
What is the total number of diagonals in a trapezoid?
There are two diagonals in a trapezoid.
Do the diagonals of a trapezoid bisect each other?
No, never. A trapezoid may have diagonals of equal length (isosceles trapezoid), but they do not intersect at their midpoints.Draw the diagonals of a trapezoid, for example, an isosceles trapezoid, thereby creating 4 triangles inside the trapezoid. Now assume the diagonals do bisect each other. The congruent corresponding sides of the top and bottom triangles with the included vertical angle would make the triangles congruent by the side-angle-side theorem. But this is a contradiction since the respective bases of the triangles, forming the top and bottom of the trapezoid are, of course, not equal. Therefore, the triangles cannot be congruent. Hence, we have given proof by contradiction that diagonals in a trapezoid cannot bisect each other.
What is true about the diagonals in an isosceles trapezoid?
The 2 diagonals in an isosceles trapezoid are of equal lengths
What quadrilatrels have diagonals that intersect each other?
The diagonals of every quadrilateral must intersect.
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.
Does an isosceles trapezoid have diagonals that bisect each other?
An isosceles trapezoid, or any trapezoid, does not have diagonals that bisect each other.
Are the diagonals of a trapezoid always congruent?
No, the diagonals of a trapezoid are not always congruent. A trapezoid is a quadrilateral with at least one pair of parallel sides. The diagonals of a trapezoid connect the non-parallel vertices, and their lengths can vary depending on the specific dimensions of the trapezoid. In a trapezoid where the non-parallel sides are of equal length, the diagonals will be congruent, but this is not always the case.
Are the diagonals of a trapezoid bisectors?
No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.
