1. Complete the two-column proof below,
Given: ABCD is a quadrilateral,
AC is the perpendicular bisector of BD.
Prove: ABCD is a kite.
E
B
Reasons
1. Given
2.
Statements
1. ABCD is a quadrilateral. AC is
the perpendicular bisector of
BD.
2. DE ZEB
3. m2DEA = mZBEA = m_CED =
mZCEB = 90°
4. ZDEA ZBEA UCED CEB
3. Perpendicular lines
form right angles
4. All right angles are
congruent
5. Reflexive Property
5. AE = AE: CE = CE
6. SAS
6.
7.
7. AB = AD, DC = BC
8. Definition of a kite
8. ABCD is a kite.