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Mathematics 18 Online
OpenStudy (anonymous):

Math Help

OpenStudy (ali2x2):

question

OpenStudy (anonymous):

well theres more then one. they are together

OpenStudy (anonymous):

OpenStudy (mathstudent55):

Problem 44. You need to prove two triangles congruent by ASA. What is ASA?

OpenStudy (anonymous):

Angle, Side, Angle

OpenStudy (anonymous):

@mathstudent55

OpenStudy (mathstudent55):

Good. You see clearly in the figure that you already have a pair of angles given as congruent. Now you need a pair of sides. Can you see a pair of sides that is congruent? You need a side of one triangle and a side of the other triangle that are congruent. What are they?

OpenStudy (anonymous):

AD= AC CB=CA?

OpenStudy (mathstudent55):

|dw:1450934075816:dw|

OpenStudy (anonymous):

A C

OpenStudy (mathstudent55):

There is nothing in the figure that lets us conclude that. We don't know anything about AD = AC or CB = CA. We do know that AC = AC, correct?

OpenStudy (anonymous):

Yes

OpenStudy (mathstudent55):

Great. Let's mark that in our figure. |dw:1450934310618:dw|

OpenStudy (anonymous):

ok

OpenStudy (mathstudent55):

Side AC of triangle DAC is congruent to side CA of triangle BCA. Now we have a side and an angle We have AS. We need ASA. We need one more pair of angles. Which pair of angles must we use?

OpenStudy (mathstudent55):

ASA is not simply angle, side, angle. It has to be two angles and the included side. The side in ASA has to be between the abgles.

OpenStudy (anonymous):

so it is AC?

OpenStudy (mathstudent55):

No. AC is the side we need to have for ASA. The question now is which is the pair of angles we need?

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

A AND C?

OpenStudy (mathstudent55):

|dw:1450934546358:dw|

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