<p>Prove that every cyclic rhombus is a square</p>

Question

In: Advanced Math

Prove that every cyclic rhombus is a square

Expert Solution

Colby Messinger answered 2 years ago

Prove that the quadrilateral enclosed by the perpendicular bisectors of the sides of a rhombus is...

Prove that the quadrilateral enclosed by the perpendicular bisectors of the sides of a rhombus is a rhombus.

Two diagonals of a rhombus are equal. Is it a square? Justify your answer.

Find a Quadrilatural ABCD that is not a square, rectangle, rhombus, trapezoid or kite. Such that...

Find a Quadrilatural ABCD that is not a square, rectangle, rhombus, trapezoid or kite. Such that the length of side and area are whole number.

Let G be a cyclic group generated by an element a. a) Prove that if an...

Let G be a cyclic group generated by an element a. a) Prove that if an = e for some n ∈ Z, then G is finite. b) Prove that if G is an infinite cyclic group then it contains no nontrivial finite subgroups. (Hint: use part (a))

Given the set of vertices, determine whether the quadrilateral is a rectangle, rhombus, or square:

Given the set of vertices, determine whether the quadrilateral is a rectangle, rhombus, or square:**Find the distance and slope or each line segment.A (−2, 7), B (7,2), C (−2,−3), D (−11,2)This quadrilateral is a… A (Rhombus) B (Rectangle) C (square)

Rhombus, Rectangle, Square or None? (-3,-1), (-3,2), (1,1), (1,-2)

Rhombus, Rectangle, Square or None?(-3,-1), (-3,2), (1,1), (1,-2)

Let F be a finite field. Prove that the multiplicative group F*,x) is cyclic.

prove every cauchy sequence converges

Consider a rhombus that is not square (i.e., the four sides all have the same length, but the angles between sides is not 90°).

Consider a rhombus that is not square (i.e., the four sides all have the same length, but the angles between sides is not 90°). Describe all the symmetries of the rhombus. Write down the Cayley table for the group of symmetries,

a. Let A be a square matrix with integer entries. Prove that if lambda is a...

a. Let A be a square matrix with integer entries. Prove that if lambda is a rational eigenvalue of A then in fact lambda is an integer. b. Prove that the characteristic polynomial of the companion matrix of a monic polynomial f(t) equals f(t).