Question

Consider the rhombus shown.Given: Rhombus ABCD with diagonals AC and BD intersecting at point EComplete the table to prove AADCAABCACDDRAG & DROP THE ANSWERStatementsReasonSymmetric Property1. Rhombus ABCD with diagonals AC andintersecting at point E1. GivenBDABAD2.2. Definition of a rhombusSAS Congruence Theorem3.3. Definition of a rhombusACBD4. ACAC4.Transitive Property5. AADC AABC5.Reflexive PropertyCBCDSSS Congruence Theorem

Answer 1

2. Reason: Definition of a rhombus

Statement: AB ≅ AD

3. Reason: Definition of a rhombus

Statement: CB ≅ CD

4. Reason: Reflexive property

Statement: AC ≅ AC

5. Reason: SAS Congruence Theorem

Statement: ΔADC ≅ΔABC