A rhombus. Hope I helped! =3
There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.
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.
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals
The polygon with 5 diagonals is a heptagon. A heptagon has seven sides, and the formula for calculating the number of diagonals in a polygon is given by ( \frac{n(n-3)}{2} ), where ( n ) is the number of sides. For a heptagon, substituting ( n = 7 ) yields ( \frac{7(7-3)}{2} = 5 ) diagonals.
There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.
quadrilateral
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.
A pentagon.
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
How about a rectangle.
It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals
It is an undecagon which has 11 sides Check: 0.5*(112-33) = 44 diagonals
pentagon
There are 14 diagonals in a septagon. Another name for a septagon is heptagon. This is a seven-sided polygon. To figure the numbers of diagonals, you can use the formula 1/2 x [n x (n-3)], where n is the number of sides.
The polygon with 5 diagonals is a heptagon. A heptagon has seven sides, and the formula for calculating the number of diagonals in a polygon is given by ( \frac{n(n-3)}{2} ), where ( n ) is the number of sides. For a heptagon, substituting ( n = 7 ) yields ( \frac{7(7-3)}{2} = 5 ) diagonals.
Apothem!