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Geometry 22 Online
OpenStudy (anonymous):

SO for this table I dont get what will go in the third and fifth slot, like for the first two it would be given, and the fourth would be the same as the one on top. I thought that the fifth would be SSS but I am not quite sure

OpenStudy (anonymous):

OpenStudy (joannablackwelder):

CA is a transversal of parallel lines. Do you know the properties of transversals?

OpenStudy (joannablackwelder):

For 5to be SSS you will need to show that all three sides are congruent. Can you do that?

OpenStudy (anonymous):

no i cant

OpenStudy (anonymous):

i can only do two side and one angle so it would be sas

OpenStudy (anonymous):

@JoannaBlackwelder

OpenStudy (joannablackwelder):

Right!

OpenStudy (anonymous):

Haha yeah can you help me with some other questions as well

OpenStudy (joannablackwelder):

Did you figure out the reason for 3?

OpenStudy (anonymous):

no I didnt

OpenStudy (joannablackwelder):

Do you know your properties of a transversal through parallel lines?

OpenStudy (anonymous):

no i dont think so

OpenStudy (anonymous):

can you name one for me, just to see if i might know one

OpenStudy (joannablackwelder):

When you have a line passing through two parallel lines, the alternate interior angles are equal.

OpenStudy (joannablackwelder):

It is usually just written as alternate interior angles for a proof.

OpenStudy (anonymous):

I thought it would be like an angle bisector...

OpenStudy (anonymous):

so number three would be alternate interior angle

OpenStudy (joannablackwelder):

Yup

OpenStudy (anonymous):

oh haha okay so can you help me with two more

OpenStudy (joannablackwelder):

I can try!

OpenStudy (anonymous):

OKay thank you

OpenStudy (joannablackwelder):

Any ideas on 3?

OpenStudy (anonymous):

No actually, like what I am having problems on in these types of problems is always going from step one and two to three,,, so I dont have any ideas

OpenStudy (anonymous):

i thought it would have been Congruent angles, but idk think that that fits

OpenStudy (joannablackwelder):

It is true they are congruent, but that doesn't tell you why.

OpenStudy (joannablackwelder):

Are you familiar with vertical angles?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

These angles are vertical

OpenStudy (anonymous):

so does that mean that there property has somethin to do with being vertical??

OpenStudy (joannablackwelder):

And all vertical angles are congruent. :)

OpenStudy (joannablackwelder):

Yes

OpenStudy (anonymous):

oh so the property would be wored as all vertical angles are congruent or would the be congruent vertical angles

OpenStudy (joannablackwelder):

I would just put vertical angles.

OpenStudy (anonymous):

okay!! so for the fourth one owuld it be congruent triangles

OpenStudy (joannablackwelder):

Congruent triangles is basically the statement, not the reason.

OpenStudy (joannablackwelder):

The reason has to be some kind of property that shows the statement you are making to be true.

OpenStudy (anonymous):

oh....

OpenStudy (joannablackwelder):

:) So, from what you have shown so far and the properties of triangles you know, can you tell me a property that shows that the two triangles are congruent?

OpenStudy (anonymous):

CPCTC

OpenStudy (joannablackwelder):

Are you talking about 4 or 5?

OpenStudy (anonymous):

4

OpenStudy (joannablackwelder):

You can never use CPCTC to show triangles are congruent.

OpenStudy (anonymous):

OH,but i thought that ws the main purpose of CPCTC

OpenStudy (joannablackwelder):

CPCTC says that if you have congruent triangles, then their corresponding parts are congruent.

OpenStudy (joannablackwelder):

No, you have to use SSS, SAS, etc to show congruent triangles.

OpenStudy (anonymous):

ohh, so this one would be SAS

OpenStudy (joannablackwelder):

Have we shown that two sides and the angle in-between are congruent?

OpenStudy (anonymous):

no

OpenStudy (joannablackwelder):

So can we use SAS?

OpenStudy (anonymous):

no

OpenStudy (joannablackwelder):

Here are all the options. http://www.mathsisfun.com/algebra/trig-solving-triangles.html

OpenStudy (anonymous):

so sss??

OpenStudy (joannablackwelder):

How do you get that?

OpenStudy (anonymous):

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