A worksheet on deciding whether a given pair of triangles are congruent using the three rules:

• The three sides are equal (SSS)
• Two angles are the same and a corresponding side is the same (ASA)
• Two sides are equal and the angle between the two sides is equal (SAS)
  Detailed solutions are included.

Looking for a comprehensive, no-prep collection of resources to help your students master congruent triangles and geometric proofs? This packet (Problem Set 2) provides the ultimate practice path, taking students from basic side-by-side matching all the way to rigorous congruence proofs!

Whether your classes are just learning to identify corresponding parts or are practicing formal proofs using SSS, SAS, and ASA, this resource has everything you need. Best of all, complete, step-by-step solutions are included to save you hours of marking time or to use for easy student self-assessment!

What’s Included in Problem Set 2?
This package features a carefully structured resource set (complete with full solutions) covering all aspects of triangle congruence:

• Section 1: Angle Measures of Congruent Triangles – Students use corresponding parts and the Triangle Angle Sum rule to find all missing interior angles.
• Section 2: Congruence Condition Analysis – Deepens conceptual understanding by asking students to evaluate which given cases (Sides, Angles, Equilateral conditions) actually guarantee triangle congruence.
• Section 3: Missing Congruence Data (Fill-in-the-Blank) – Students examine two given triangles and determine exactly what missing side or angle condition is required to prove they are identical.
• Section 4: Comprehensive Geometry Proofs (Multiple Exercises) – 10 distinct diagram-based problems (labeled a through j) where students analyse given markings, identify shared common sides, use vertically opposite angles, and formally prove congruence using SSS, SAS, and ASA rules.

Why Teachers Love This Resource:

• Ready to Print: Just download, photocopy, and you are ready to teach!
• Step-by-Step Answer Keys: Full solutions are included for every single problem, making marking or peer-assessment a breeze.
• Scaffolded Practice: Tasks build naturally from simple value calculations to abstract, higher-level proving questions.
• Versatile Classroom Use: Perfect for main lesson tasks, independent classwork, homework assignments, cover work, or revision.

Skills Covered:

• Matching corresponding vertices, sides, and angles.
• Applying the Triangle Angle Sum rule to find missing interior angles.
• Identifying non-congruent traps (such as AAA or standard Equilateral assumptions).
• Proving triangle congruence using SSS, SAS, and ASA criteria.
• Working with geometric properties: shared common sides, vertically opposite angles, and angle bisectors.