Assertion : ABCD is a square. AC and BD intersect at “O “. The measure of ∠ AOB= 90°.Reason : Diagonals of a square bisect each other at right angles.

The diagonal AC and BD of a parallelogram ABCD intersect each other at point O. If angle DAC=32° and angle AOB=70°,then what is the measure of angle DBC?Choices:- 24° 86° 38° 32°

Consider rectangle ABCD with diagonals BD and AC intersecting at E. Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point E. Angles B C E is 52 degrees, angle C B E is 52 degrees, angle D E A is 104 degrees, and angle B E A is 76 degrees. Which is true about the angle relationships in the rectangle? Check all that apply. AngleBEA and AngleCED are vertical angles and equal 104°. AngleABE and AngleCBE are complementary angles. AngleBEC and AngleCED are vertical angles. AngleBEA and AngleAED are supplementary angles whose sum is 180°. AngleBEC and AngleAED are adjacent angles.

Quadrilateral ABCD has diagonals AC and BDWhich information is not sufficient to prove and ABCD is a parallelogram?Group of answer choicesAB is congruent to CD and AB is parallel to CDAB is congruent to CD and BC is congruent to ADAC and BD bisect each otherAB is congruent to CD and BC is parallel to AD

In the figure ABCD is a rectangle and diagonals intersect at O. If , find .

Show that if the diagonals of quadrilateral are equal and bisect each other at right angles,then it is a square.