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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
Quadrilateral formed by connecting the midpoints of consecutive sides?
A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
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.
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.
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.
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
Quadrilateral formed by connecting the midpoints of consecutive sides?
A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.
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.
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
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.
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.
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?
Ptolemy's Theorem states that in a quadrilateral, the product of the two diagonals is equal to the sum of the products of the opposite sides. Mathematically, for a quadrilateral with sides a, b, c, d and diagonals e and f, the theorem is represented as: ef = ac + b*d.
How do you measure quadrilaterals with a protractor?
A quadrilateral has four sides with lengths, two diagonals with lengths, four inside angles, four outside angles, and an area. The angles are the only things you can measure with a protractor.
What are the lengths of the diagonals in a quadrilateral when angle 95 degrees is between sides 4.3cm by 3.4cm and angle 115 degrees is between sides 3.4cm by 3.8cm?
Using the cosine formula in trigonometry the diagonals of the quadrilateral works out as 5.71cm and 6.08cm both rounded to two decimal places
If the diagonals of the rhombus are in the ratio 3 to 4 and the perimeter of the rhombus is 40 cm what are the lengths of the diagonals?
The lengths of the diagonals work out as 12 cm and 16 cm
