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what quadrilateral Has diagonals of different lengths?
A quadrilateral with diagonals of different lengths can be a rectangle or a kite. In a rectangle, the diagonals are equal in length, while in a kite, the diagonals are not equal and intersect at right angles. Other quadrilaterals, like trapezoids and irregular quadrilaterals, can also have diagonals of different lengths. Therefore, many quadrilaterals can fit this description, depending on their specific properties.
Do the point at which the diagonals of a parallelogram intersect is always equidistant from the four vertices?
No because the diagonals of a parallelogram are of different lengths
What is the area of the quadrilateral ABCD whose vertices are at -1 4 and 3 7 and 5 2 and -5 -17 giving the reason for your answer?
When the given vertices are plotted and joined together on the Cartesian plane they will form a 4 sided quadrilateral whose diagonals intercept each other at right angles and so multiplying the lengths of the diagonals divided by two will produce an area of 80 square units.
Quadrilateral formed by connecting the midpoints of consecutive sides?
A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
Can a kite have four congruent diagonals?
No because a kite is a 4 sided quadrilateral with two diagonals of different lengths that intersect each other at right angles.
what quadrilateral Has diagonals of different lengths?
A quadrilateral with diagonals of different lengths can be a rectangle or a kite. In a rectangle, the diagonals are equal in length, while in a kite, the diagonals are not equal and intersect at right angles. Other quadrilaterals, like trapezoids and irregular quadrilaterals, can also have diagonals of different lengths. Therefore, many quadrilaterals can fit this description, depending on their specific properties.
Do the point at which the diagonals of a parallelogram intersect is always equidistant from the four vertices?
No because the diagonals of a parallelogram are of different lengths
What is the area of the quadrilateral ABCD whose vertices are at -1 4 and 3 7 and 5 2 and -5 -17 giving the reason for your answer?
When the given vertices are plotted and joined together on the Cartesian plane they will form a 4 sided quadrilateral whose diagonals intercept each other at right angles and so multiplying the lengths of the diagonals divided by two will produce an area of 80 square units.
Quadrilateral formed by connecting the midpoints of consecutive sides?
A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
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.
The quadrilateral above has four sides whose lengths are represented by A B C and D If you wanted to calculate the area of the quadrilateral which of the lengths must you know to make the calculation?
diagonals
Can a kite have four congruent diagonals?
No because a kite is a 4 sided quadrilateral with two diagonals of different lengths that intersect each other at right angles.
Finding square feet in a quadrilateral?
The answer depends on the shape of the quadrilateral and the form in which that information is given: for example, lengths of sides and angles, coordinates of vertices.
How do you construct a parallelogram whose one side and two diagonals are given?
To construct a parallelogram with one side and two diagonals given, start by drawing the given side as one of the sides of the parallelogram. Label the endpoints of this side. Then, using a compass, draw arcs from each endpoint of the side with radii equal to the lengths of the diagonals, intersecting at two points. These intersection points will be the other two vertices of the parallelogram. Finally, connect these vertices to form the complete parallelogram.
The rules of a cyclic Quadrilateral?
In geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The vertices are said to be concyclic. In a cyclic quadrilateral, opposite angles are supplementary (their sum is π radians or 180°). Equivalently, each exterior angle is equal to the opposite interior angle. The area of a cyclic quadrilateral is given by Brahmagupta's formula as long as the sides are given. This area is maximal among all quadrilaterals having the same side lengths. Ptolemy's theorem expresses the product of the lengths of the two diagonals of a cyclic quadrilateral as equal to the sum of the products of opposite sides. In any convex quadrilateral, the two diagonals together partition the quadrilateral into four triangles; in a cyclic quadrilateral, opposite pairs of these four triangles are similar to each other. Any square, rectangle, or isosceles trapezoid is cyclic. A kite is cyclic if and only if it has two right angles. ----Wikipedia
Explanation of Ptolemy's Theorem?
If a quadrilateral has its vertices on a common circle, then if you multiply the digonals, it should come out the same as if you take one pair of opposite sides, multiply their lengths, do the same for the next pair, and then add them together.
What the shape that has 4 vertices?
A shape with four vertices is called a quadrilateral. Common examples include squares, rectangles, trapezoids, and rhombuses. Each type of quadrilateral has unique properties and can vary in the lengths of its sides and the measures of its angles.
