Sss, Sas, Aas, Asa, and Cpctc: Geometry Help

Confused about the SSS, SAS, AAS, ASA, and CPCTC in geometry? This is for you!

SSS, SAS, AAS, and ASA are used to prove triangles congruent. The CPCTC is used to prove corresponding parts of corresponding triangles congruent.

SSS: Side-Side-Side

If all three sides of two triangles are congruent, then the triangles are congruent.

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SAS: Side-Angle-Side

If two sides and an angle are congruent with the congruent angle in between the two congruent sides, then the triangles are congruent.

Source

AAS: Angle-Angle-Side

If two angles and one side are congruent on both triangles in that order, then the triangles are congruent.

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ASA: Angle-Side-Angle

If two angles and a side are congruent with the congruent side in between the congruent angle, the triangles are congruent.

 

Source

CPCTC: Corresponding Parts of Congruent Angles are Congruent

If two triangles are congruent, then all the corresponding parts of each triangle are congruent also. For example:

ΔABC congruent to ΔDEF, then AB=DE, BC=EF, AC=DF, and so on.

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9 Responses to “Sss, Sas, Aas, Asa, and Cpctc: Geometry Help”
  1. Ruby Says...

    On January 21, 2010 at 12:45 am

    Thank you soooooooo much!
    I have a geometry final tomorrow and you have no idea how much this helped!!


  2. THTHTHYTHTHHTH Says...

    On October 25, 2010 at 11:49 pm

    THANK YOU SO MUCH THIS ACTUALLY HELPED BETTER THEN MY TEACHER EXPLAINED IT :)


  3. guest Says...

    On October 30, 2010 at 11:53 am

    Thank You this actually helped better than the textbook


  4. efrain Says...

    On November 9, 2010 at 8:52 pm

    this did not help i still need help with proofs


  5. kk Says...

    On November 15, 2010 at 11:10 am

    THANK YOU i am homeschooled and i really dont have a clue on what i am learning and my parents think they kno but they dont!!!
    This really helped alot:D


  6. se Says...

    On April 16, 2012 at 6:20 pm

    didnt help me


  7. kaukamom Says...

    On February 1, 2013 at 12:44 am

    This part has a typo: “CPCTC: Corresponding Parts of Congruent Angles are Congruent”

    It should say CPCTC: “Corresponding Parts of Congruent TRIAngles are Congruent”


  8. Lexy Says...

    On February 25, 2013 at 2:20 pm

    Being Homeschooled, this helped me alot. But there are still things that this doesn’t explain. Thank you!


  9. Lexy Says...

    On February 25, 2013 at 2:22 pm

    Being Homeschooled, this helped me alot. But there are still things that this doesn’t explain. Thank you.


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