Please Fill in the BlanksGiven: Rectangle ABCDProve: AC¯¯¯¯¯≅BD¯¯¯¯¯A rectangle A B C D. Side A B and side C D are parallel. Side A D and B C are parallel. Diagonal B D and A C intersect each other at a point labeled as X.Statement ReasonRectangle ABCD GivenOpposite sides of a rectangle are congruent.DC¯¯¯¯¯≅DC¯¯¯¯¯ ∠ADC and ∠BCD are right angles. All right angles are congruent.△ADC≅△BCD SAS Congruence PostulateCPCTCAD¯¯¯¯¯≅BC¯¯¯¯¯AB¯¯¯¯¯≅DC¯¯¯¯¯AC¯¯¯¯¯≅BD¯¯¯¯¯∠ADC≅∠BCD∠ACD≅∠BDCDefinition of perpendicular linesTransitive Property of CongruenceReflexive Property of CongruenceDefinition of rectangle
Accepted Solution
A:
1) Rectangle ABCD Given2)AD=BC, DC=AB. Opposite sides of a rectangle are congruent.3)DC¯¯¯¯¯≅DC¯ Reflexive property of Congruence4)∠ADC and ∠BCD are right angles. Definition of rectangle.5)<ADC=<BCD. All right angles are congruent.6)△ADC≅△BCD SAS Congruence Postulate7)AC=BD.