.............................................................................
Statement Reason
1. AB is parallel CD 1. Given
AB is congruent to CD
AC is perpendicular to BD
2. angle CDB congruent to angle ABD 2. BD transversal-Alt interior
angles.
3. BD congruent BD 3. reflexive prop
4. tri BCD is congruent to tri BAD 4. SAS
5. AD congruent BC 5. CPCTC
6. angle ABD congruent angle CBD 6. CPCTC
angle CDB congruent angle BDA
7. angle CBD congruent angle BDA 7. transitive prop S #2,6
8. BC is parallel to AD 8. alternate interior angles converse
9. ABCD is a paralleogram 9. def of parallelogram S #1,8
10.ABCD is a Rhombus 10 def of a rhombus S #1,5,9
SAS side angle side theorem
CPCTC- corresponding parts of congruent triangles are congruent