When two triangles are congruent, all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent. If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS). Another shortcut is side-angle-side (SAS), where two pairs of sides and the angle between them are known to be congruent. SSS and SAS are important shortcuts to know when solving proofs. I did this triangle congruence sorting activity with my high school students the other day and they loved it! We glued it in our interactive notebooks when we were done and its such a great visual reminder for them to remember the different ways to prove triangles congruent.

The triangle has one obtuse angle The triangle has all acute angles and no congruent sides. and two congruent sides. So, the triangle is an obtuse scalene triangle. So, the triangle is an acute isosceles triangle. Practice Check your answers at BigIdeasMath.com. Classify the triangle by its angles and by its sides. 1. 45° 45° 90° 2. 60° 3 ...

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