The figure below shows rectangle ABCD: Rectangle ABCD with diagonals AC and BD passing through point E

The following two-column proof with a missing statement proves that the diagonals of the rectangle bisect each other:

Statement Reason
ABCD is a rectangle. Given
Line segment AB and Line segment CD are parallel. Definition of a Parallelogram
Line segment AD and Line segment BC are parallel. Definition of a Parallelogram
Alternate interior angles theorem
Line segment BC is congruent to line segment AD. Definition of a Parallelogram
∠ADB ≅ ∠CBD Alternate interior angles theorem
ΔADE ≅ ΔCBE Angle-Side-Angle (ASA) Postulate
Line segment BE is congruent to line segment DE. CPCTC
Line segment AE is congruent to line segment CE. CPCTC
Line 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

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Pick the description of a geometric object that best matches the real world object box for a deck of card

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary