Quadrilaterals was Uncovered with Experts Detailed Explanations

All rectangles are squares, but not vice versa. True oe False

bazirT4Y 2022-11-28

When using a series of squares that are exactly the same shape, implied depth can be achieved byalternating value
a. relative size
b. overlapping
c. relative position
d. all of these answers

Reece Black 2022-11-25

What are concave quadrilaterals?
A quadrilateral with one of its interior angles greater than 180°.
A quadrilateral with none of its interior angles greater than 180°.
A quadrilateral with one of its interior angles equal to 180°.
None of the above

Jamie Medina 2022-11-24

Which quadrilateral is equiangular but not equilateral.?

IndologietVy 2022-11-24

Which quadrilaterals have diagonals that bisect each other?

anraszbx 2022-11-18

What quadrilaterals in the real projective plane can be obtained by a projective transformation of the real projective plane from a square?

Kareem Mejia 2022-11-08

Every polygon with an even number of vertices may be partitioned by diagonals into quadrilaterals.
True or False?

hogwartsxhoe5t 2022-10-18

In hyperbolic geometry, ideal triangles are all congruent to each other.
Convex Ideal quadrilaterals ( a quadrilateral where all $4$ points are ideal points) all have the same area ( $(2 π)$ )

Deja Bradshaw 2022-10-17

There are $25$ points on a plane of which $7$ are collinear . How many quadrilaterals can be formed from these points ?

Aryanna Blake 2022-10-12

$10$ points lie in a plane,of which $4$ points are collinear.Barring these $4$ no three of the $10$ points are collinear.How many distinct quadrilaterals can be drawn?

Kasey Reese 2022-10-11

Are there two non-congruent quadrilaterals with same sets of sides and angles?

Tiana Hill 2022-10-07

Let the vertices of a regular $72$ -gon be colored red, blue, and green in equal parts. Show that there are $4$ vertices of each color such that the resulting monochromatic quadrilaterals formed are congruent to each other.

babuliaam 2022-09-25

If there is a convention for labeling the vertices of various quadrilaterals $A B C D$ etc.
For example $A B C D$ is a parallelogram. $E$ is a point on $D C$ extended, such that $D$ and $E$ are on opposite sides of $B C$ .

deiluefniwf 2022-09-25

You have a quadrilateral ABCD. I want to find all the points x inside ABCD such that
$a n g l e (A, x, B) = a n g l e (C, x, D)$
Is there a known formula that gives these points ?

Kwenze0l 2022-09-04

Why study quadrilaterals?

sailorlyts14eh 2022-09-04

Let $P_{1}$ and $P_{2}$ be two convex quadrilaterals such that $P_{1} \neq P_{2}$ and $A r e a (P_{1}) \geq A r e a (P_{2})$ . Is it true that it is not possible that all sides and diagonals of $P_{1}$ are shorter than the corresponding sides and diagonals of $P_{2}$ ?
Suppose that all four sides and one diagonal of $P_{1}$ are shorter than the corresponding sides and diagonal of $P_{2}$ . Then, as it is explained in the answer to my older question, the two triangles which triangulate $P_{2}$ should be "flatter" (otherwise it's not possible $A r e a (P_{1}) \geq A r e a (P_{2})$ ). From this it should follow that the other diagonal of $P_{1}$ is longer than the corresponding diagonal of $P_{2}$ .
Do you think it's correct? Can you help me formalizing it?

jiwekeegi 2022-08-22

Find number of Quadrilaterals that can be formed in a Decagon such that no side of Quadrilateral is common to side of Decagon.

Guabellok4 2022-08-22

As in the following figure of a quadrilateral;

If the diagonals are stated to bisect each other, I thought this should hold (considering the bottommost triangle in blue lines);
$\frac{\vec{a} + \vec{b}}{2} + \frac{\vec{b} - \vec{a}}{2} = \vec{b}$
But this shows that all quadrilaterals have their diagonals bisecting each other, since this gives $\vec{b} = \vec{b}$ , which implies it's true for all $\vec{a}$ and $\vec{b}$ . Which obviously isn't true.
Where did my reasoning go wrong?

tizamazg 2022-08-20

Given two parallel lines, the first one containing $N$ points and the second containing $M$ points. How many triangles and convex quadrilaterals can be formed if no line contains more than $1000$ points

Yair Valentine 2022-08-18

This is a question from Kiselev's plane geometry book:
Four points on the plane are vertices of three quadrilaterals. Explain how this happens.
How do you explain this?

Quadrilaterals are four-sided shapes that are found in many areas of mathematics. They have four angles and four sides that are all connected. In geometry, many types of quadrilaterals exist including parallelograms, rectangles, squares, trapezoids, rhombuses and kites. Quadrilaterals can also be classified by the length of their sides, such as an isosceles trapezoid or an equilateral rectangle. Additionally, quadrilaterals can be used in trigonometry to calculate angles and distances. Quadrilaterals can also be used to solve equations and simplify complex problems. Understanding quadrilaterals is essential for students studying math, from elementary school all the way through college.

Quadrilaterals Made Easy: Learn with Examples, Equations, and Expert Tips