To prove that quadrilateral ABCD is a kite, we need to check if it satisfies the conditions of a kite. The conditions for a quadrilateral to be a kite are: AB = AD and BC = CD, one pair of opposite angles are congruent, and the diagonals are perpendicular by symmetry or one of the conditions mentioned above.
Step-by-step explanation:
To prove that quadrilateral ABCD is a kite, we need to check if it satisfies the conditions of a kite. The conditions for a quadrilateral to be a kite are:
AB = AD and BC = CD (opposite sides are congruent).
One pair of opposite angles are congruent (ABD = CBD or ABC = CDA).
The diagonals are perpendicular by symmetry or one of the conditions mentioned above.
From the given options, the correct conditions that prove quadrilateral ABCD is a kite are:
AB = AD and BC = CD
One pair of opposite angles are congruent (ABD = CBD or ABC = CDA)
ACL CD
The probable question can be: Select all the answers needed. What conditions would prove quadrilateral ABCD is a kite? ABCD and AC = BD AB BC and AD = CD OAB || CD and AC || BD ACL BD AB LBD and ACL CD