Question

Look at the parallelogram ABCD shown below.



The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent.

Answer 1

Statements
Reasons
1
AB is parallel to DC and AD is parallel to BC
definition of parallelogram
2
angle 1=angle 2, angle 3=angle 4
if two parallel lines are cut by a transversal then the corresponding angles are congruent
3
BD = BD
Reflexive Property
4
triangles ADB and CBD are congruent
if two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent by SAS postulate
5
AB = DC , AD = BC
corresponding parts of congruent triangles are congruent

Which statement is true about the table?
It is not correct because it provides incorrect sequence of statement 2 and statement 4.

It is not correct because it does not provide correct reasons for statement 2 and statement 4.

It is accurate because it provides the correct sequence of statements.

It is accurate because it provides the correct reasons for the statements.

Answer 2

@Mertsj

Answer 3

I chose answer D the first time and was wrong

Answer 4

Quit guessing.

Answer 5

Statement no. 2
angle 1=angle 2, angle 3=angle 4
if two parallel lines are cut by a transversal then the corresponding angles are congruent
This is wrong
correct reason
if two parallel lines are cut by a transversal then alternate interior angles are equal.

Answer 6

Check step by step. The first snag I hit that I am checking is what type of angles are angles 1 and 2 and then 3 and 4. Are they corresponding angles or are they a different type of angles with regard to parallel lines cut by a transversal.

Answer 7

Alright I see it thanks ASH!

Answer 8

@ash2326 I thought OpenStudy rules request that we not dole out answers.

•Don’t post only answers - guide the asker to a solution.

Answer 9

@Brad1996 Check statement 4. if the correct postulate is used

Answer 10

@Directrix Did I post the answer? I gave the correct explanation for the reason

Answer 11

*step

Answer 12

Yeah ash didn't post answer

Answer 13

I'm 90% sure its B though

Answer 14

@ash2326 Looks like the answer to me.

>>correct reason
if two parallel lines are cut by a transversal then alternate interior angles are equal.

Pardon my error.

Answer 15

ash2326 Medals 0

Statement no. 2

What is that if it isn't an answer?
Who am I supposed to believe...you or my lyin' eyes?

Answer 16

Answer would be the correct option. Still if you guys are not convinced I'll mend my ways

Answer 17

@Brad1996 Do you think the correct postulate is used in Statement 4?

Answer 18

My guts tellin me no

Answer 19

So which postulate should be use? Check how many corresponding angles and sides of the triangles are congruent?

Answer 20

after looking at this, I think the answer is A instead because the last reason should not be the last reason

Answer 21

Check again, there is not an error of sequence

Answer 22

yeah nvm, I'm stayin with B, shouldnt of second guessed myself

Answer 23

Are you certain? what should be the correct reason for statement 4?

Answer 24

I gtg shower, be back in 15min

Answer 25

I'm not 100% sure what to change the reason for statement 4 to

Answer 26

@Mertsj

Answer 27

@ash2326

Answer 28

It's mentioned in the reason, two sides are equal and one angle between them.
Do we have two sides equal before we prove congruence?

Answer 29

Yes

Answer 30

Nope,
we have only this info.
angle 1=angle 2, angle 3=angle 4
BD = BD

You have to use a congruency postulate which uses two angles and one side

Answer 31

AAS?

Answer 32

so we could say their congruent because of AAS instead of SAS which it said so the correct answer would be that statement 2 and 4 were incorrect?

Answer 33

it should be ASA

Answer 34

alright

Answer 35

so the right answer is, It is not correct because it does not provide correct reasons for statement 2 and statement 4.

Answer 36

Right

Answer 37

thanks, can u help me with a couple more?