The figure below shows rectangle abcd: the following two-column proof with 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 ∠cad ≅ ∠acb alternate interior angles theorem line segment bc is congruent to line segment ad definition of a parallelogram alternate interior angles theorem ƒ δ ade ≅ ƒ δ cbe 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? ∠adb ≅ ∠cbd ∠abe ≅ ∠ade ∠acd ≅ ∠ace ∠ace ≅ ∠cbd

Given : A  rectangle A B CD

To Prove: Diagonals of the rectangle bisect each other

Proof:

1. ABCD is a rectangle.  

→AB ║CD→ Definition of a Parallelogram

→AD║BC→ Definition of a Parallelogram

⇒∠CAD ≅ ∠ACB  →→[Alternate interior angles theorem]

⇒Line segment BC ≅ Line segment DA→→Definition of a Parallelogram

In  Δ A DE and Δ C BE

AD=BC⇒Proved above

∠CAD=∠ACB ⇒Alternate interior angles theorem

∠ADB=∠CBE ⇒Alternate interior angles theorem

→→Δ A DE ≅  Δ C BE⇒Angle-Side-Angle (A S A) Postulate

BE=DE→→[C P CT ]

A E=CE→→[C P CT ]

⇒Line segment AC bisects Line segment B D⇒Definition of a bisector

Blank Space : Option A⇒∠ADB ≅ ∠CBD

∠ADB ≅ ∠CBD

Step-by-step explanation:

its right bc i tried it

google dat sis

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional