Rhombus+P3+-+SG

Rhombuses By: Sam Crisler and Gavin Heusinkvelt


 * //Theorems and General Information//**
 * A rhombus is a parallelogram with four congruent sides.
 * Rhombus Corollary – A quadrilateral is a rhombus if and only if it has four congruent sides.
 * All squares are rhombuses.
 * Theorem 8.11 – A parallelogram is a rhombus if and only if its diagonals are perpendicular.
 * The line from one vertex to the other is called a diagonal. There are two diagonals in a rhombus.
 * The diagonals of the rhombuses create four congruent right triangles.
 * Theorem 8.12 – A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.
 * All of the angles added together are 360 degrees.
 * Opposite angles are congruent and opposite sides are parallel.
 * Unless the rhombus is a square, then none of the angles will be 90 degrees.
 * Corresponding angles are 180 degrees.
 * The area of a rhombus can be found using the lengths of the diagonals.
 * A= ½(D1 X D2)
 * Area can also be found by multiplying the base and the altitude of the rhombus
 * A= B(Altitude)
 * The line from one vertex to the other is called a diagonal. There are two diagonals in a rhombus.
 * The diagonals of the rhombuses create four congruent right triangles.



 //Questions // Ð C @Ð D 2.The diagonals of rhombus //JKLM// intersect at point //N.// Given that //m// // Ð KJL // = 63 °, find // Ð KML //. 3. If // Side A // is 9x-12 and //Side B// is 8x-3; what is the perimeter of the rhombus? 4.Find the area of a rhombus if the base is 7 inches and the altitude is 8.5 inches.
 * // Pictures //**
 * 1) For any rhombus //ABCD//, decide whether the statement is always or sometimes true.

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