Question

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC:

A quadrilateral ABCD is shown with the two pairs of opposite sides AD and BC and AB and DC marked parallel. The diagonal are labeled BD and AC

A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal:

For triangles ABD and CDB, alternate interior angle ABD is congruent to angle CDB because AB and DC are parallel lines. Similarly, alternate interior angle ADB is equal to angle CBD because AD and BC are parallel lines. DB

Answer 1

Image: http://sjvs.flvs.net/webdav/assessment_images/educator_geometry_v16/image0034e8c7278.jpg

Answer 2

A. ASA Postulate
B. HL Postulate
C. SAS Postulate
D. SSS Postulate

Answer 3

@ganeshie8 @Mehek14 @imqwerty

Answer 4

anyone there?

Answer 5

@ksaimouli

Answer 6

It's not clear whether you're posting just one question or a series of questions. Also, you haven't yet shared the illustration you've mentioned.

If there's more than one question in your post, would you please re-post that one question, along with the pertinent illustration.

Thx, and welcome to OpenStudy!

Answer 7

It is one question.

Answer 8

mathmale?

Answer 9

I see you've tried to post the illustration, but due to security reasons I cannot open it.
Any other way in which you could share that illustration?

Also, would you please share any thoughts you may have regarding how to proceed?

Answer 10

u there?

Answer 11

yeah, here.

Answer 12

Got it; thanks. Your problem statement ends with a paragraph stating, "a student wrote the following ... " But what is YOUR question? What do YOU need to know?

Answer 13

The answer.
A. ASA Postulate
B. HL Postulate
C. SAS Postulate
D. SSS Postulate

(which one is it?)

Answer 14

@sleepyjess @mayankdevnani

Answer 15

You might want to do some Internet searchs for the four given terms, such as the ASA Postulate. I've done this, for the ASA Postulate, and have rec'd the following results:

http://www.bing.com/search?q=ASA+Postulate&src=IE-SearchBox&FORM=IESR02&pc=EUPP_UE02

You're likely to find some examples in these search results to help you determine which of the four answer choices is the correct one.

Answer 16

u use bing, lol.. google is better :)

Answer 17

So be it. But in any case, please do some research on those 4 possible answers; look for examples and explanations. You're likely to end up with not only the correct answer to your posted problem, but also a better understanding of these 4 Postulates.