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What is a quadrilateral with 4 sides of equal length?
A quadrilateral with four sides of equal length is called a rhombus. In addition to having equal side lengths, a rhombus also has opposite angles that are equal and its diagonals bisect each other at right angles. If all angles are also equal, it becomes a special case known as a square.
What is a parallelogram with and four congruent sides?
A parallelogram with four congruent sides is known as a rhombus. In addition to having all sides equal in length, a rhombus also has opposite angles that are equal and adjacent angles that are supplementary. The diagonals of a rhombus bisect each other at right angles and are not necessarily equal in length. This shape combines properties of both parallelograms and squares, though it does not require right angles.
What describe a square?
A square is a four-sided polygon, known as a quadrilateral, with all sides of equal length and four right angles (90 degrees). Its opposite sides are parallel, and the diagonals bisect each other at right angles, also being equal in length. The properties of symmetry and uniformity make the square a fundamental shape in geometry. Additionally, the area of a square can be calculated by squaring the length of one of its sides.
Does a rectangle have both diagonals equal?
Yes; obviously. The rectangle, like the square, is one of the most commonly known quadrilaterals. It is defined as having all four interior angles 90° (right angles
Which quadrilaterals have diagonals that do not meet at 90 degrees?
Quadrilaterals with diagonals that do not meet at 90 degrees are known as non-rectangular or non-square quadrilaterals. Examples include parallelograms, rhombuses, and trapezoids. In these quadrilaterals, the diagonals may intersect at different angles depending on the specific properties of the shape.
What is a quadrilateral with 4 sides of equal length?
A quadrilateral with four sides of equal length is called a rhombus. In addition to having equal side lengths, a rhombus also has opposite angles that are equal and its diagonals bisect each other at right angles. If all angles are also equal, it becomes a special case known as a square.
What are the properties for a rhombus?
It is a 2D shape that has 4 sides It belongs to the class of polygons known as quadrilaterals It has 4 equal sides It has 2 equal obtuse angles and 2 equal acute angles It has 2 diagonals that bisect each other at 90 degrees Its 4 interior angles that add up to 360 degrees
In a parallelogram are the diagonals equal?
No, the properties of a paralleogram are as follows:two parallel sidesbisecting diagonalsequal opposite anglesand it does not need to have all equal sides it just needs to have OPPOSITE equal sidesIf the diagonals were equal, the figure would have to be a square, rectangle, or rhombus.No. In fact they are equal only in exceptional circumstances.
What is the calculation of a rhombus?
It has 4 equal sides It has 2 equal acute and 2 equal obtuse angles It has 2 diagonals It has an area which is 0.5*product of its diagonals Its perimeter is the sum of its 4 sides Its 4 interior angles add up to 360 degrees It will tessellate leaving no gaps or overlaps Its opposite sides are parallel to each other It belongs to the class of polygons known as 4 sided quadrilaterals
How many diagonals in a diamond?
There are two in the quadrilateral known as a diamond.
Does a rectangle have both diagonals equal?
Yes; obviously. The rectangle, like the square, is one of the most commonly known quadrilaterals. It is defined as having all four interior angles 90° (right angles
Which quadrilaterals have diagonals that do not meet at 90 degrees?
Quadrilaterals with diagonals that do not meet at 90 degrees are known as non-rectangular or non-square quadrilaterals. Examples include parallelograms, rhombuses, and trapezoids. In these quadrilaterals, the diagonals may intersect at different angles depending on the specific properties of the shape.
How rectangle and square are different?
Squares have four equal sides; rectangles have two pairs of equal opposing sides (top and bottom are equal; both sides are equal; top and bottom and sides are not equal to each other). Squares have all 4 sides equal, while 2 parallel sides of a rectangle are equal and the other 2 parallel sides are equal too. Generally, a square is also a rectangle.
Which quadrilaterals have diagonals that intersect at right angles outside the shape?
Well, honey, that would be rectangles. Those four-sided figures have diagonals that are equal in length and intersect at right angles outside the shape. So, if you're looking for a shape with some perpendicular diagonal action, rectangles are where it's at.
What five comments can be made about the polygon known as a square?
1 It is a 4 sided quadrilateral shape 2 It has 4 equal sides 3 It has 4 interior corner right angles that add up to 360 degrees 4 Its diagonals are equal and intersect each other at 90 degrees 5 It has 4 lines of symmetry 6 It will tessellate
Using a compass and a ruler is there a way to divide a circle into equal parts 5 6 7 8 or more parts?
I can answer for 6, 12, 24 48, etc, 8, 16, 32, 64, etc with a slight "cheat"First:To construct the perpendicular bisector of a line (with known end points):Set the compass to larger than half the length of the line.With the compass on one end point, draw arcs either side of the lineWith the compass on the other end point, draw arcs to intersect these.With the straight edge draw a line between the points where the arcs intersect on either side of the original line - this is the perpendicular bisector.To construct the bisector of an angle.Set the compass to any width.With the compass on the point of the angle, draw arcs on each arm of the angle.With the compass on one arm of the angle where the arc intersects it, draw another arc between the arms (away from the point of the angle)With the compass on the other intersection of arm and arc, draw another arc to intersect the arc just drawn.Join the point of the angle to the point the two arcs intersect - this is the angle bisector.In all cases, the centre of the circle is needed. If the centre is not known it can be found:Draw any two chords on the circle.Construct the perpendicular bisectors of the chordsWhere the perpendicular bisectors meet is the centre of the circle.6, 12, 24, 48, ...For 6 equal parts: If the circle has just been drawn, keep the compass set to its radius; otherwise set the compass to the radius of the compass (this is the slight "cheat") using the centre of the circle.Mark the circumference of the circle at any point.With the compass on this point, draw an arc to intersect the circle.Using this intersection as the marked point, repeat step 3 three more times.Join each of the six marked points on the circumference to the centre - the circle is now split into 6 equal parts.For 12 equal parts: Split the circle into 6 equal parts.Bisect each of the segments (at the angle at the centre of the circle), joining the circle centre to the circumference each time.For 24, 48, etc parts, bisect the segments of the previous one. For example, to get 48 equal parts split the circle into 6 equal parts, bisect the angles to get 12 equal parts, bisect the angles again to get 24 equal parts and finally bisect the angles again to get 48 equal parts.8, 16, 32, 64, ...For 8 equal parts: Draw in a diameter (2 equal parts).Construct the perpendicular bisector of this diameter (4 equal parts).Bisect each of the segments (at the centre angle), joining the centre to the circumference.For 16, 32, 64, etc equal parts, bisect the segments (as with 12, 24, 48, etc parts). In these constructions, there are an even number of points and the opposite points are at the ends of a diameter, so construct time can be reduced by drawing in diameters instead of radii.
How many diagonals does a 8 sided polygon have?
An eight-sided polygon has 8 vertices. Consider1st vertex = 7 diagonals to other vertices2nd vertex = 6 diagonals to other vertices (since one has now been used)3rd vertex = 54th vertex = 45th vertex = 36th vertex = 27th vertex = 18th vertex = 0, so7+6+5+4+3+2+1 = 28Improved Answer:-Formula for finding diagonals of a polygon 0.5*(n2-3n) when n is the number of sides0.5*(82-24) = 20 diagonals
