b. It is known that the diagonals of this rectangle bisect each other at the point of intersection. Using this fact, check (using appropriate calculations) whether the diagonals are perpendicular to each other.

Name the quadrilaterals whose diagonals(a) bisect each other. (b) are perpendicular bisectors of each other.(c) are equal

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

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.

The diagonals of a rhombus:A) Are equal and bisect each other at right anglesB) Are unequal and do not bisect each other at right anglesC) Are unequal and bisect each other at right anglesD) Are equal and do not bisect each other at right angles

State whether True or False.(a) All rectangles are squares. (b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms.(e) All kites are rhombuses. (f) All rhombuses are kites.(g) All parallelograms are trapeziums. (h) All squares are trapeziums.