You get a bonus - 1 coin for daily activity. Now you have 1 coin

Diamond property

Lecture








Diamond property

Theorem (properties of a rhombus).

Diagonal rhombus intersect at right angles. Diagonal rhombus are the bisectors of its angles.

Evidence.

Let ABCD be a given diamond. Diagonal diamonds intersect at point O.
By the property of the parallelogram AO = OC, then BO is the median Δ ABC. And since the triangle ABC is isosceles, by the properties of the median of an isosceles triangle conducted to the base, BO is also a height and a bisector. Hence the straight line BO ⊥ AC and ∠ ABO = CBO. The theorem is proved.

See also

created: 2014-10-05
updated: 2024-11-12
241



Rating 9 of 10. count vote: 2
Are you satisfied?:



Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Planometry

Terms: Planometry