CW 3.03 - Congruent Parts in Triangles (Part 2)

Author:
B Akyurtlu
Topic:
Triangles

Criteria 6: Two Sides and an Included Angle (SAS)

How many different triangles can you create that have one side of length 3, one side of length 4, and a 40 degree angle in between them? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?

Criteria 7: Two Angles and an Included Side (ASA)

How many different triangles can you create that have one angle of 30 degrees, one angle of 40 degrees, and side of length 3 between them? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?

Criteria 8: An Angle, A Side, And Another Side (ASS/SSA)

How many different triangles can you create that have one side of length 4, one side of length 6, and then a 40 degree angle? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?

Criteria 9: All Three Sides (SSS)

How many different triangles can you create that have one side of length 4, one side of length 6, and one side of length 7? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?

Criteria 10: Two Angles and a Side (AAS/SAA)

How many different triangles can you create that have one angle of 40 degrees, one angle of 60 degrees, then a side of 3? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?

Criteria 11: All Three Angles (AAA)

How many different triangles can you create that have one angle of 40 degrees, one angle of 60 degrees, and one angle of 80 degrees? Are they all congruent? Does having this configuration tell you that two triangles must be congruent?