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This Lesson (PROPERTIES OF RHOMBIS) was created by by ikleyn(52778)
  About ikleyn: Properties of rhombisBy the definition, a rhombus is a parallelogram which has all the sides of the same length. As a parallelogram, the rhombus has all the properties of a parallelogram: - the opposite sides are parallel; - the opposite sides are of equal length; - each diagonal divides it in two congruent triangles; - the diagonals bisect each other; - the opposite angles are congruent; - the sum of any two consecutive angles is equal to 180°. Rhombis (plural of rhombus) have additional properties. In a rhombus, each diagonal divides it in two congruent isosceles triangles. In a rhombus, the two diagonals are perpendicular. In a rhombus, the diagonals are the angle bisectors. For your convenience, this file contains the annotations to my lessons on rhombis in this site and the major properties of rhombis. The properties are presented with the links to the corresponding lessons. The lessons are listed in the logical order, which means that every given lesson refers to the preceding ones and does not refer to that follow. The list consolidates the relevant lessons that are located under different topics in this site. At the end of the list there are links to the lessons on word problems related to rhombis.
For the solutions of the typical word problems on rhombis related to their sides and diagonals measures see the lessons HOW TO solve problems on the rhombus sides and diagonals measures - Examples, The length of diagonals of a rhombus and A circle inscribed in the rhombus under the topic Geometry of the section Word problems in this site. To navigate over all topics/lessons of the Online Geometry Textbook use this file/link GEOMETRY - YOUR ONLINE TEXTBOOK. This lesson has been accessed 4278 times. |
