Question

The figure below shows a parallelogram ABCD.

Answer 1

Figure?

Answer 2

The flow chart with missing reason proves that consecutive angles of a parallelogram add to 180°.

Answer 3

Which reason can be used to fill in the blank spaces?
Angle Addition Postulate
Definition of a Quadrilateral
Definition of Parallel Lines
Definition of a Parallelogram

Answer 4

@jim_thompson5910

Answer 5

the missing reason is "Definition of a Parallelogram" since we're using the definition to show that AB is parallel to CD

Answer 6

same with BC parallel to AD

Answer 7

Thanks i Have Couple More Questions

Answer 8

sure go for it

Answer 9

The paragraph proof with missing statement proves that the opposite interior angles of the rhombus are congruent

Which statement can be used to fill in the blank space?

The figure is a rhombus which is given. The definition of a rhombus guarantees that and are parallel and that and are parallel. ∡1 + ∡2 = 180 and ∡2 + ∡3 = 180 because they are same side interior angles of two parallel lines cut by a transversal. By the transitive property of equality, __________________________. Using the subtraction property of equality, ∡1 = ∡3. Similarly, ∡2 + ∡3 = 180 and ∡3 + ∡4 = 180 because they are same side interior angles of two parallel lines cut by a transversal. Therefore, using the transitive property of equality, ∡2 + ∡3 = ∡3 + ∡4. Using the subtraction property of equality,
∡2 = ∡4. Since ∡1 = ∡3 and ∡2 = ∡4 by the definition of congruence, these opposite angles are congruent.

Answer 10

@jim_thompson5910

Answer 11

? ? ?

Answer 12

one sec

Answer 13

I'm looking up the answer

Answer 14

by the transitive property of equality, which says that if A = B and B = C, then A = C

So if ∡1 + ∡2 = 180 and ∡2 + ∡3 = 180, then


∡1 + ∡2 = ∡2 + ∡3

Answer 15

∡ADB ≅ ∡CBD

∡ABE ≅ ∡ADE

∡ACD ≅ ∡ACE

∡ACE ≅ ∡CBD

Answer 16

Those Are My Choices

Answer 17

hmm well if ∡1 = ∡3, then angle DAB = angle DCB

Answer 18

but that's not in there

Answer 19

Nope

Answer 20

why does it mention a point E when E isn't even drawn out?

Answer 21

how do i screen shot ?

Answer 22

hit the printscreen key on your keyboard and paste the image into paint and save it

Answer 23

@jim_thompson5910 Can You see It ?

Answer 24

ah, totally different pic, thanks

Answer 25

ok which piece is missing in the pic?

Answer 26

im Confused lol

Answer 27

Sorry i Was Nver Good At Geometry

Answer 28

its ok, but I don't see anything missing

Answer 29

it looks all filled in to me

Answer 30

My Anwer Choices Are ∡ADB ≅ ∡CBD

∡ABE ≅ ∡ADE

∡ACD ≅ ∡ACE

∡ACE ≅ ∡CBD

Answer 31

yes i see that, but in your screenshot, i don't see where that would go...

Answer 32

Soo What Should i Do ?

Answer 33

is there more to this that I'm not seeing in the pic (like is there stuff below this)?

Answer 34

i Will Take a lower Screen shot

Answer 35

you know it's a long problem when two screenshots barely cover it all...

Answer 36

LMAO GOOD ONE !

Answer 37

lol one sec

Answer 38

ok

Answer 39

the missing statement is angle ADB is congruent to angle CBD

So it's choice A

The reason is because this is the last piece that's needed to use the ASA property

Answer 40

Thank You

Answer 41

yw

Answer 42

hey what are u trying to do?

Answer 43

u want something proven for the rhombus?