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# In a diamond ABCD, we draw the segment BN perpendicular to the segment AD, the segment BM perpendicular to CD, the segment DR perpendicular to AB and the segment DQ perpendicular to BC. The perpendiculars BN and DR intersect at point E and the perpendiculars BM and DQ intersect at point F. Demonstrate using Euclidean geometry that BEDF is a rhombus and that its angles are isometric to the angles of rhombus ABCD.

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## Answer to a math question In a diamond ABCD, we draw the segment BN perpendicular to the segment AD, the segment BM perpendicular to CD, the segment DR perpendicular to AB and the segment DQ perpendicular to BC. The perpendiculars BN and DR intersect at point E and the perpendiculars BM and DQ intersect at point F. Demonstrate using Euclidean geometry that BEDF is a rhombus and that its angles are isometric to the angles of rhombus ABCD.

Esmeralda
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