B Theorems on Rhombus 1. The diagonals of a rhombus are perpendicular. 2. Each diagonal of a rhombus bisects opposite angles. LEARNING TASK 2 E Given: AE CE,BE DE, AC I BD Prove: ABCD is a rhombus Statement Reason 1. AECE,BEDE, AC I BD Given 2. LAEB, LBEC, ZDEC and LAED are right angles. Definition of perpendicular (1) line 3. ZAEB ZBEC ZDEC LAED 1. 4. AE = AE,CE = CE,BE BE, DE DE 2. 5. AABE ABCE ZACDE 2 ADAE 3. 6. AB BCCDAD 4. 7. ABCD is a rhombus. 5. Choose your answer below. Write the LETTER of your answer on the REASON Column A. Reflexive B. Corresponding Parts of Congruent Triangles are Congruent (CPCTC) C. Side-Ange-Side Triangle Congruence (SAS) D. Right angles are congruent E. Definition of a rhombus​