![]() The rhombus is often called a " diamond", after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French sweet – also see Polyiamond), and the latter sometimes refers specifically to a rhombus with a 45° angle.Įvery rhombus is simple (non-self-intersecting), and is a special case of a parallelogram and a kite. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. In ∆ABC, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC.įind the perimeter of ∆DEF if AB = 24, BC = 32, and AC = 26.The rhombus has a square as a special case, and is a special case of a kite and parallelogram. Given that ∆FHJ is isosceles, with, FM = 2y +3, NH = 5y 7 9 and JH = 2y. Is ED ll CB? Example 5: M and N are the midpoints of a. In the figure below, AE=8, CE=x, DA=6, and BA=12. One of the diagonals bisects a pair of opposite angles.Ĭlarification: in ∆∆∆∆TRS “M” is the midpoint of RS and “L” is the midpoint RT.īy the above “rule”, ML ll ST and ML = ½ ST. One pair of opposite angles are congruent. One diagonal is the perpendicular bisector of the other. Two pairs of consecutive sides are congruent. Theorem: In a kite, one pair of opposite angles are congruent. Cunningham Mary Ann Cunningham)Ī kite is a quadrilateral with two distinct pairs of congruent adjacent sides.
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