What are some examples of triangle congruence?

What are some examples of triangle congruence?

Triangle congruence refers to the idea that two triangles are congruent if they have the same size and shape. Some common examples include the SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle) criteria. Would you like to see specific examples for each?

Yes, please provide examples for SSS and SAS.

Sure! For SSS, if triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and triangle DEF also has sides of 5 cm, 7 cm, and 9 cm, then they are congruent by SSS. For SAS, if triangle GHI has two sides of lengths 6 cm and 8 cm with the included angle of 60 degrees, and triangle JKL has two sides of 6 cm and 8 cm with the same included angle, then they are congruent by SAS.

Can you explain the ASA criterion with an example?

Absolutely! For the ASA criterion, if triangle MNO has an angle of 50 degrees, a side of 10 cm, and another angle of 60 degrees, and triangle PQR has the same angle measures and the same side length, then they are congruent by ASA.