Rhombus HW

Name _________________________________________________________________ Date _________________________Properties & Proving a Rhombus - HOMEWORK1. In rhombus ABCD, the measure, in inches, of AB is 2x 1 and DC is 3x 11.Find the number of inches in the length of BC.2. In the diagram below of rhombus ABCD, A 110. What is mADB ?3. In the diagram below, TOWN is a rhombus with diagonals TW and ON .If mWTN 26, what ismONT ?4. In rhombus EFGH, the diagonals EG and FH intersect at A. If EA 8 and FA 15 , what is thelength of EF ?5. The diagonals of a rhombus are 6 feet and 8 feet, find the perimeter of the rhombus.6. A rhombus has a side of length 13 feet and one of the diagonals is 24 feet. Find the length of theother diagonal.

7. Which reason could be used to prove that a parallelogram is a rhombus?1) Diagonals are congruent.2) Opposite sides are parallel.3) Diagonals are perpendicular.4) Opposite angles are congruent.8. Quadrilateral JOHN has vertices J 1,1 , O 4,0 , H 5,5 , and N 0,4 .Prove that JOHN is a rhombus.9. The vertices of quadrilateral ZACH are Z (2,3), A (2,7), C (8,5 ), and H (4,1 ) .Use coordinate geometry to prove that ZACH is a parallelogram but not a rhombus.