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OpenStudy (cashgirl1369):

what is the missing proof in the statement

OpenStudy (cashgirl1369):

OpenStudy (cashgirl1369):

OpenStudy (cashgirl1369):

OpenStudy (cashgirl1369):

OpenStudy (mathstudent55):

The reason for the missing statement is "SAS criterion for congruence." What is SAS used to prove?

OpenStudy (cashgirl1369):

side angle side right

OpenStudy (mathstudent55):

Yes, SAS is side angle side. In general, you use SAS to prove what?

OpenStudy (cashgirl1369):

im not 100% sure

OpenStudy (mathstudent55):

Ok, I'll ask the question as a multiple choice question. SAS is used to prove: A) two segments congruent B) two angles congruent C) two triangles congruent D) two quadrilaterals congruent

OpenStudy (cashgirl1369):

a

OpenStudy (mathstudent55):

Does a segment have a side and angle and a side?

OpenStudy (cashgirl1369):

i dont understand

OpenStudy (mathstudent55):

SAS is a method of proving two triangles congruent. The reason for the missing statement is SAS, that means that the missing statement must be that two triangles are congruent.

OpenStudy (cashgirl1369):

but theres 4 of them and they both look the same to me

OpenStudy (mathstudent55):

In the choices, you have two statements that are congruent triangles. You need to choose between those two. The other choices can be eliminated.

OpenStudy (cashgirl1369):

so it gets rid of the bottom two

OpenStudy (mathstudent55):

Yes. Now let's look at the statements just above the missing one, to see which pairs of side angle side are being used. With those we can tell which triangles are being proved congruent.

OpenStudy (mathstudent55):

Here is the figure. |dw:1467392335131:dw|

OpenStudy (mathstudent55):

|dw:1467392394019:dw|

OpenStudy (mathstudent55):

|dw:1467392464590:dw|

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