PLEASE HELP ASAP!

Given: Given: Quadrilateral LMNO has diagonal MO which splits the quadrilateral into two congruent isosceles triangles.

Prove: LMNO is a rhombus

PLEASE HELP ASAP Given Given Quadrilateral LMNO has diagonal MO which splits the quadrilateral into two congruent isosceles triangles Prove LMNO is a rhombus class=

Respuesta :

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.

What is a Rhombus?

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.

Given the diagonal MO divides the rhombus LMNO, is two isosceles triangles, therefore, ΔLMO and ΔMNO.

Since the triangles are isosceles triangles two of the sides of the triangle will be of the same length. Therefore,

In ΔLMO

LM = LO

In ΔMNO

MN = ON

since it is the property of the rhombus that the length of its adjacent sides is equal, therefore, the LMNO is a rhombus.

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