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

Kasey Reese
2022-10-11
Answered

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

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Cavalascamq

Answered 2022-10-12
Author has **21** answers

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

asked 2022-08-15

Is there a congruence theorem that says that if three sides of two quadrilaterals are equal, then the two quadrilaterals are congruent?

asked 2022-07-24

Definition #1: an isosceles trapezoid is a trapezoid with exactly one pair of parallel sides and whose none parallel sides are congruent.

Definition #2: an isosceles trapezoid is a trapezoid with one pair of parallel sides and with the other pair of sides congruent.

a) Explain how isosceles trapezoid are related to rectangles under each Definition?

b) How are these Definitions related to the Definition of trapezoid ?

c) a quadrilateral has vertices at (-a,0), (a,0), (b,c) and (d,c). Under Definition #1, what conditions must be b and d satisfy if the quadrilateral is an isosceles trapezoid ? Under Definition #2, what conditions must be b and d satisfy if the quadrilateral is an isosceles trapezoid ?

d) Are the two Definitions equivalent? why or why not?

Definition #2: an isosceles trapezoid is a trapezoid with one pair of parallel sides and with the other pair of sides congruent.

a) Explain how isosceles trapezoid are related to rectangles under each Definition?

b) How are these Definitions related to the Definition of trapezoid ?

c) a quadrilateral has vertices at (-a,0), (a,0), (b,c) and (d,c). Under Definition #1, what conditions must be b and d satisfy if the quadrilateral is an isosceles trapezoid ? Under Definition #2, what conditions must be b and d satisfy if the quadrilateral is an isosceles trapezoid ?

d) Are the two Definitions equivalent? why or why not?

asked 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 ($(2\pi )$)

Convex Ideal quadrilaterals ( a quadrilateral where all $4$ points are ideal points) all have the same area ($(2\pi )$)

asked 2022-07-20

There are $8$ line segments of lengths(in cm) $1,2,3,4,5,6,7,8$.How many quadrilaterals can be made with these line segments if circles can be inscribed in the quadrilaterals made?

asked 2022-09-25

You have a quadrilateral ABCD. I want to find all the points x inside ABCD such that

$angle(A,x,B)=angle(C,x,D)$

Is there a known formula that gives these points ?

$angle(A,x,B)=angle(C,x,D)$

Is there a known formula that gives these points ?

asked 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.

asked 2022-07-22

Suppose $ABCD$ is a cyclic quadrilateral and $P$ is the intersection of the lines determined by $AB$ and $CD$. Show that $PA\xb7PB=PD\xb7PC$