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What are fifteen or more facts and features relevant to geometrical quadrilaterals?
You're supposed to ask only one question at a time but here we go for 15 or more questions about quadrilaterals:- 1 Quadrilaterals are 4 sided 2 dimensional polygons 2 Quadrilaterals have 4 interior angles that add up to 360 degrees 3 Quadrilaterals have 4 exterior angles adding to 360 degrees 4 Quadrilaterals have 2 diagonals 5 Quadrilaterals have a perimeter which is the sum of their 4 sides 6 Quadrilaterals have areas with formulae depending on their types 7 Quadrilaterals can individually tessellate 8 Quadrilaterals can be split into 2 triangles 9 Quadrilaterals can be squares 10 Quadrilaterals can be rectangles 11 Quadrilaterals can be parallelograms 12 Quadrilaterals can be rhombuses 13 Quadrilaterals can be trapezoids or trapeziums 14 Quadrilaterals are sometimes isosceles trapezoids 15 Quadrilaterals can look like kites 16 Quadrilaterals can undergo transformations on the Cartesian plane 17 Quadrilaterals are congruent or similar when identical in angles and shapes 18 Quadrilaterals can form the cross-section of prisms 19 Quadrilaterals sometimes have lines of symmetry 20 Quadrilaterals have certain properties within a circle 21 Quadrilaterals can be subjected to trigonometry QED by David Gambell
Is it true that diagonals of a parallelogram bisect the opposite angles?
It is true only when the parallelogram is in the form of a rhombus, and thus the two diagonals are perpendicular to each other.
What if two lines meet and form right angles?
If they intersect and form right angles, they're perpendicular.
What are lines that form right angles at their point of intersection?
Perpendicular Lines form right angles at their point of intersection
Do 2 perpendicular lines always form right angles?
By definition, perpendicular lines form right angles.
Does a rhombus's diagonals intersect to form right angles?
Yes... The rhombus's diagonals intersect to form right angles... But I'm not 100% sure..
Are diagonals of a parallelogram perpendicular?
Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles
What quadrilaterals diagonals form 4 congruent triangles?
A square
Are the diagonals of a square perpendicular bisectors?
The diagonals of a square are perpendicular (they intersect and form right angles). But they are angles bisectors since they bisect each pair of opposite angles. A perpendicular bisector actually bisects a side of a figure.
Can a rectangle's diagonals form 4 right angles?
yes if it is a square. squares are rectangles with their 4 sides and 4 right angles, but rectangles are not squares without 4 equal sides
What are a score or more facts about the properties of a quadrilateral?
1 It's known as a quadrilateral because it has 4 sides 2 It can be a regular polygon in the form of a square having 4 equals sides and angles 3 It has 2 diagonals 4 It will tessellate leaving no gaps or overlaps 5 Its perimeter is the sum of its 4 sides 6 It can be in the shape of a rhombus or a parallelogram 7 In can form the shape of a kite 8 It can be a rectangle having 4 equal right angles of 90 degrees 9 It can be in the form of a trapezoid or a trapezium 10 It can be an isosceles trapezoid having 1 line of vertical symmetry 11 Its area is normally base times perpendicular height 12 It has 4 lines of symmetry in the shape as a square 13 Its area is 0.5*(sum of parallel sides)*height if it is a trapezoid 14 Its diagonal meet at right angles in the form of a rhombus 15 Its diagonals meet at right angles in the form of a kite 16 Its diagonals intersect at right angles when square shaped 17 Its area is 0.5*product of its diagonals if they meet at right angles 18 It can form two triangles 19 Its 4 interior angles add up to 360 degrees 20 It's subject to the rules of trigonometry 21 It can be similar to other quadrilaterals having the same angles and proportionally similar dimensions
What quadrilateral has no pair of parallel lines and has 2 or more right angle?
It is a kite whose diagonals are perpendicular to each other and form 4 right angles.
How should you find the side when two diagonals are given in a rombhus?
The diagonals of a rhombus (not rombhus) bisect one another at right angles. The sides of the rhombus form the hypotenuses of triangles whose other sides are half the diagonals. So use Pythagoras.
Prove that a rhombus has congruent diagonals?
Since the diagonals of a rhombus are perpendicular between them, then in one forth part of the rhombus they form a right triangle where hypotenuse is the side of the rhombus, the base and the height are one half part of its diagonals. Let's take a look at this right triangle.The base and the height lengths could be congruent if and only if the angles opposite to them have a measure of 45⁰, which is impossible to a rhombus because these angles have different measures as they are one half of the two adjacent angles of the rhombus (the diagonals of a rhombus bisect the vertex angles from where they are drawn), which also have different measures (their sum is 180⁰ ).Therefore, the diagonals of a rhombus are not congruent as their one half are not (the diagonals of a rhombus bisect each other).
What are fifteen or more facts and features relevant to geometrical quadrilaterals?
You're supposed to ask only one question at a time but here we go for 15 or more questions about quadrilaterals:- 1 Quadrilaterals are 4 sided 2 dimensional polygons 2 Quadrilaterals have 4 interior angles that add up to 360 degrees 3 Quadrilaterals have 4 exterior angles adding to 360 degrees 4 Quadrilaterals have 2 diagonals 5 Quadrilaterals have a perimeter which is the sum of their 4 sides 6 Quadrilaterals have areas with formulae depending on their types 7 Quadrilaterals can individually tessellate 8 Quadrilaterals can be split into 2 triangles 9 Quadrilaterals can be squares 10 Quadrilaterals can be rectangles 11 Quadrilaterals can be parallelograms 12 Quadrilaterals can be rhombuses 13 Quadrilaterals can be trapezoids or trapeziums 14 Quadrilaterals are sometimes isosceles trapezoids 15 Quadrilaterals can look like kites 16 Quadrilaterals can undergo transformations on the Cartesian plane 17 Quadrilaterals are congruent or similar when identical in angles and shapes 18 Quadrilaterals can form the cross-section of prisms 19 Quadrilaterals sometimes have lines of symmetry 20 Quadrilaterals have certain properties within a circle 21 Quadrilaterals can be subjected to trigonometry QED by David Gambell
Is it true that diagonals of a parallelogram bisect the opposite angles?
It is true only when the parallelogram is in the form of a rhombus, and thus the two diagonals are perpendicular to each other.
Could Quadrilaterals have right angles?
Quadrilaterals are a generic class of polygons (shapes that have only straight sides) that simply have 4 sides. "Quadrilateral" literally means "4-sided". Given that, I'm sure you can think of 2 very common quadrilaterals that have right angles: the "rectangle", and a special form of rectangle called a "square". The name "rectangle" literally means "right angle", and is called such because all 4 sides of this type of quadrilateral are connected by right angles. A square is a rectangle, all four of whose sides are equal in length. So a square is a rectangle is a quadrilateral.
