Question

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

Answer 1

Statement:
ABCD is a rectangle

Answer 2

Reason:
Given

Answer 3

Statement: Line segment AB and line segment CD are parallel

Answer 4

Reason:
Definition of a Parallelogram

Answer 5

Line segment AD and line segment BC are parallel

Answer 6

Reason: Definition of a Parallelogram

Answer 7

Statement:
Yet to be filled in

Answer 8

Reason:
Alternate interior angles theorem

Answer 9

Line segment BC is congruent to line segment AD

Answer 10

Reason:
Definition of a parallelogram

Answer 11

Statement:
Angle ADB is congruent to angle CBD

Answer 12

Reason:
Alternate interior angles theorem

Answer 13

VADE is congruent to VCBE

Answer 14

Reason:
ASA Postulate

Answer 15

Line segment BE is congruent to line segment DE

Answer 16

Wait, where did V come from?

Answer 17

Reason:
CPCTC

Answer 18

I don't know :(

Answer 19

let me keep posting(later I want you to answer my question about Gengar :))

Answer 20

Line segment AE is congruent to line segment CE

Answer 21

Reason:
CPCTC

Answer 22

Statement:
Line segment AC bisects line segment BD

Answer 23

Reason:
Definition of a bisector

Answer 24

Any tips?

Answer 25

This is a fill in the blank answer

Answer 26

Statement: Yet to be filled in

a few moments ago

55
luisz
Medals 0

Reason: Alternate interior angles theorem

Answer 27

∡ABD ≅ ∡DBC

∡CAD ≅ ∡ACB

∡BDA ≅ ∡BDC

∡CAB ≅ ∡ACB

Answer 28

Here are the choices...

Answer 29

Tips?

Answer 30

Alright. Knowing it's ASA and that one pair of the angles is congruent along with a side, which pair of angles have to be congruent to prove the triangle congruent?

Answer 31

Hmmmm

Answer 32

give me a minute

Answer 33

ahhh

Answer 34

this cannot be right:
∡ABD ≅ ∡DBC

Answer 35

Their vertex is the exact same

Answer 36

right?

Answer 37

Are am I wrong?

Answer 38

Because don't alternate interior angles have different vertices?

Answer 39

you there?

Answer 40

If so, I could also knock out ∡BDA ≅ ∡BDC

Answer 41

I guess so? Look for alternate interior angles otherwise known as a Z shape.

Answer 42

From the images I've seen, the vertices appear to be different

Answer 43

The vertices are from different angles of the two lines

Answer 44

Lets say we have to lines cut by a transversal

Answer 45

The first line has vertex angle A and the other line has vertex angle B

Answer 46

You see where I am going?

Answer 47

brb

Answer 48

k

Answer 49

I could be mistaken though

Answer 50

Look for the Z shape.