Q:

Please help with Geometry!! <3 The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other: Statement ReasonABCD is a rectangle. GivenLine segment AB and Line segment CD are parallel | Definition of a ParallelogramLine segment AD and Line segment BC are parallel | Definition of a Parallelogram______________ |Alternate interior angles theoremLine segment BC is congruent to line segment AD | Definition of a Parallelogram∠ADB ≅ ∠CBD | Alternate interior angles theoremΔADE ≅ ΔCBE | Angle-Side-Angle (ASA) PostulateLine segment BE is congruent to line segment DE CPCTCLine segment AE is congruent to line segment CE CPCTCLine segment AC bisects Line segment BD Definition of a bisector~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Which statement can be used to fill in the blank space? ∠ABD ≅ ∠DBC ∠CAD ≅ ∠ACB ∠BDA ≅ ∠BDC ∠CAB ≅ ∠ACB

Accepted Solution

A:
Answer:∠CAD ≅ ∠ACB Step-by-step explanation:The justification states "alternate interior angles theorem."  Alternate interior angles would be inside the parallel lines and on opposite sides of the transversal.  The only pair of angles in our choices that fits this definition is ∠CAD and ∠ACB .