Question

The figure below shows rectangle ABCD.



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

Statement

Reason

ABCD is a rectangle.

Given

and are parallel
Definition of a Parallelogram
and are parallel
Definition of a Parallelogram
∡CAD ≅ ∡ACB
Alternate interior angles theorem
Definition of a Parallelogram
∡ADB ≅ ∡CBD
Alternate interior angles theorem
Angle-Side-Angle (ASA) PostulateCPCTC
CPCTC
bisects Definition of a bisector
Which statement can be used to fill in the blank space?

Answer 1

Let me make it more clear.... just give me a sec

Answer 2

and that's all I have.

Answer 3

May someone please help me?

Answer 4

i havent seen these symbols before - what does the last choice BC AD mean?
as far as i know they are not used in the UK

Answer 5

does it mean equal or congruent - if so thats your answer

Answer 6

It is the 'congruence' symbol.

Answer 7

ok thats it then

Answer 8

wait, that's the answer, and the process of understanding it???

Answer 9

Sorry, my teacher didn't really 'teach' me, she just gave me a few definitions, and told me to do it.

Answer 10

I am confused between the first one and the last one.

Answer 11

its part of the process to prove that the two triangles are congruent

Answer 12

option number 1, and option number 4 can both be used to do that.....

Answer 13

no - we are proving that triangles CBE and ADE are congruent
the sides BC and AD are part of these triangles
the sides AB and CD are not

Answer 14

option 4 is correct

Answer 15

Ohhh... Ok. Thanks!

Answer 16

yw