

A worksheet on the criteria SSS, ASA and SAS for proving that two triangles are congruent. Detailed solutions are included.
Looking for a comprehensive, ready-to-use revision resource to help your students master congruent triangles and geometric proofs? This printable maths worksheet features 7 scaffolded multi-part problems, ranging from conceptual true/false questions and triangle inequality rules to formal congruence proofs (SSS, SAS, ASA, and AAS). Best of all, it includes 7 full pages of step-by-step worked visual solutions to save you hours of marking time!
Master Triangle Congruence and Geometric Proofs with Ease!
Provide your students with the ultimate practice resource for congruent triangles. This comprehensive revision worksheet is perfect for GCSE Higher, IGCSE, Key Stage 4 (KS4), and secondary maths students preparing for upcoming geometry exams, assessments, or end-of-term mocks.
Designed for high utility with zero teacher preparation required, this 14-page resource includes a clean, student-friendly 7-page question packet followed by 7 pages of fully worked-out visual solutions. It provides clear, logical transitions from basic geometric vocabulary to formal mathematical proofs.
What is Included in This Resource?
• Section 1: Conceptual True/False Questions – 6 true or false statements to assess student understanding of congruence rules, isosceles triangles, right-angled triangles, and obtuse triangles.
• Section 2: Triangle Inequality Theorem – Practice questions testing whether a triangle can be constructed given three side lengths.
• Section 3: Missing Side and Angle Equalities – Missing information problems where students must identify what additional criteria are needed to prove two triangles are congruent.
• Section 4: Congruence Identification – Visual triangle pairs where students must examine the given tick marks and angle arcs to determine if the triangles are congruent (and state the reason: SSS, SAS, ASA, or AAS).
• Sections 5, 6, and 7: Formal Geometric Proofs – Complete proof problems where students use given information, vertically opposite angles, shared sides, midpoints, and perpendicular line properties to formally prove triangle congruence.
• Complete Step-by-Step Answer Key – 7 full pages of detailed visual solutions showing every mathematical step and geometric reason, making it perfect for student self-assessment, independent study, or quick marking.
Why Teachers Love This Worksheet:
• Ready to Teach: Just print and go! It is an instant, complete lesson addition.
• Scaffolded Learning: Problems gradually increase in difficulty, building student confidence before they tackle the formal proofs.
• Versatile Use: Ideal for in-class independent practice, homework assignments, GCSE exam revision, or emergency cover work.
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