Question

Geometry Proof help please.

Answer 1

@triciaal

Answer 2

@ParthKohli @thomaster @mathmate

Answer 3

@3mar

Answer 4

@Ashleyisakitty

Answer 5

Statment 3 is proven due to the `Alternate Interior Angles Theorem` as you can see Angle 1 is on the opposite side of the transversal of Angle 3.

Answer 6

Ohhh. I see. What other options can there be? I can probably figure it out with the options.

Answer 7

We are told for Reason 3 that it is `a definition of a parallelogram` this can only be used if you are confirming the parallel sides. So it would be `PQ = RS, PS = QR`.

Answer 8

Im quite confused as to what Stament&Reason of 5 could be.

Answer 9

maybe its the PQ congurent to RS

Answer 10

and the QR and ST?

Answer 11

Not quite that's what you are proving.

Answer 12

How about `Triangle PQS is congruent to Triangle RSQ` due to `the SAS Postulate. ?

Answer 13

Indeed.

Answer 14

Thats the only one I can think of. By saying that the two triangles are congruent then the sides that correspond are congruent as well.

Answer 15

Lets hope we are correct ^.^ When graded tell me which are wrong or right :)

Answer 16

Well what about 2?

Answer 17

I posted up what 2 would be ;)

`We are told for Reason 3 that it is a definition of a parallelogram this can only be used if you are confirming the parallel sides. So it would be PQ = RS, PS = QR.`

Answer 18

Sorry I typed Reason 3 for that one I meant Statement 2.

Answer 19

Really sorry about the confusion.

`Reason 3 is proven due to the Alternate Interior Angles Theorem as you can see Angle 1 is on the opposite side of the transversal of Angle 3.`

`We are told for Statment 2 that it is a definition of a parallelogram this can only be used if you are confirming the parallel sides. So it would be PQ = RS, PS = QR.`

`Triangle PQS is congruent to Triangle RSQ due to the SAS Postulate`

Answer 20

Okay, I'll let you know what my teacher says.
I appreciate your help.

Answer 21

Your welcome ^.^ and Good Luck!