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Last updated

23 July 2026

A worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral).
Detailed solutions are included.

Identifying and classifying geometric shapes has never been easier! This no-prep Types of Triangles Worksheet is a comprehensive secondary math resource designed for Key Stage 2 (KS2) and Key Stage 3 (KS3) students to master classifying triangles by sides and angles. It provides the perfect blend of visual recognition practice and critical thinking puzzles, making it an excellent choice for a main lesson activity, homework assignment, or revision cover lesson.

Are you looking for a straightforward, engaging way to help your secondary math students review triangle properties? This printable PDF worksheet provides targeted practice to ensure students can visually identify and accurately categorize triangles by their interior angles and side lengths.
With multiple distinct exercise types—including visual sorting, true/false analysis, and a shape creation grid—this resource builds strong geometric fluency and directly reinforces triangle vocabulary required for GCSE maths.

What’s Included in This Resource?
• Classification by Angles Section – Students evaluate geometric diagrams to sort triangles into acute-angled, right-angled, and obtuse-angled categories.
• Classification by Sides Section – A targeted exercise where students analyze side markings to identify equilateral, isosceles, and scalene triangles.
• Property Mastery & Logic Grid – Features conceptual True/False statements and a hands-on “Draw the Triangle” challenge to test structural constraints.
• Complete Teacher Answer Key – Full, clear, visual solutions for all included problems to allow for effortless marking or student self-checking.

Covered Vocabulary Terms:
• Acute Triangle
• Right-Angled Triangle
• Obtuse Triangle
• Equilateral Triangle
• Isosceles Triangle
• Scalene Triangle

Why Secondary Maths Teachers Love It:
• Zero Prep Required: Just print the worksheets and your geometry lesson or revision session is ready to go.
• Scaffolded Learning: Moves logically from simple visual identification to conceptual true/false reasoning and creative shape drawing.
• Versatile Classroom Use: Perfect for independent desk work, guided math groups, GCSE exam revision, or a quick progress check quiz.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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Geometry Triangle Congruence & Angle Relationships Worksheets Bundle

A collection of 7 worksheets on the following topics: * Types of Triangles. A worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral). * Triangle Angle Sum Theorem. A worksheet on the triangle exterior angle theorem. The exercises require to find missing angles by using the triangle exterior angle theorem. * Exterior Angle Theorem. A worksheet on the triangle exterior angle theorem. The exercises require to find missing angles by using the triangle exterior angle theorem. * Isosceles, Equilateral and Right-Angled Triangles. A worksheet on isosceles, equilateral and right-angled triangles and the angle properties of these triangles. Congruent Triangles Introduction. An introductory worksheet on congruent triangles. The exercises require to identify the corresponding equal angles or sides of some given congruent triangles. * Congruent Triangles (SSS, SAS, ASA, AAS). A worksheet on determining whether triangles are congruent by Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Angle-Angle-Side (AAS). * Congruent right-angled triangles. A worksheet on deciding whether a given pair of right-angled triangles are congruent. Detailed solutions are included. Looking for a comprehensive, no-prep collection of resources to help your secondary students master triangle properties, angle rules, and geometric proofs? This ultimate 7-lesson worksheet bundle provides a complete practice path, taking students from basic triangle classifications all the way to rigorous, multi-step congruence proofs! Whether your classes are calculating missing values with algebraic equations or practicing formal proofs using SSS, SAS, ASA, and AAS, this resource has everything you need. Best of all, complete, step-by-step solutions are included for every problem to save you hours of marking time or to allow for easy student self-assessment! **What’s Included in This Bundle?** This package features 7 carefully structured resource packets (complete with full solutions) that scaffold student learning: * **Resource 1: Types of Triangles** – Focuses on classifying triangles by their interior angles (acute-angled, obtuse-angled, right-angled) and side lengths (scalene, isosceles, equilateral) using numeric values and side markings. * **Resource 2: Triangle Angle Sum Theorem** – Multi-level practice for finding the missing variable x inside a triangle. Problems range from basic arithmetic to advanced multi-step algebraic equations and vertically opposite angle setups. * **Resource 3: Exterior Angle Theorem** – Students apply the exterior angle theorem to solve for x using single values, linear equations, and supplementary angle properties. * **Resource 4: Isosceles, Equilateral & Right-Angled Triangles** – Deepens conceptual understanding of special triangle properties, base angle rules, and solving for missing values in isosceles right triangles. * **Resource 5: Introduction to Congruent Triangles** – Students practice identifying corresponding equal sides and angles across matching congruent shapes. * Resource 6: Congruence Concept Check**** – A rigorous True or False section testing deep conceptual knowledge of rigid transformations (rotations) and triangle types. * **Resource 7: Comprehensive Geometry Proofs** – 11 distinct, diagram-based proofs where students analyse given markings, identify shared common sides, midpoints, heights, angle bisectors, and formally prove congruence using SSS, SAS, ASA, and AAS rules. **Why Teachers Love This Resource:** * **Ready to Print:** Just download, photocopy, and you are ready to teach! * **Step-by-Step Answer Keys:** Full calculations, geometric reasoning diagrams, and complete criteria listings are provided for every problem, making marking or peer-assessment a breeze. * **Scaffolded Practice:** Tasks build naturally from simple classification and value calculations to abstract, higher-level diagram analysis and formal proofs. * **Versatile Classroom Use:** Perfect for main lesson tasks, independent classwork, homework assignments, cover work, or revision. **Skills Covered:** * Classifying triangles by side lengths and interior angles. * Applying the Triangle Angle Sum and Exterior Angle rules algebraically. * Working with geometric diagram properties: shared common sides, vertically opposite angles, midpoints, and angle bisectors. * Proving triangle congruence using SSS, SAS, ASA, and AAS criteria. * Verifying theorems regarding isosceles and equilateral triangle properties. **Curriculum & Key Stage Alignment:** * **Key Stages:** Key Stage 3 (KS3) Extension & Key Stage 4 (KS4) GCSE Maths * **Exam Board Suitability:** Ideal for Higher Tier GCSE (AQA, Edexcel, OCR) * **Topic:** Geometry and Measures -Congruence and Similarity -Geometric Proof & Angle Rules

£6.90

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Identifying & Classifying Angles and Triangles Geometry Worksheets with Keys

A collection of three worksheets. Two worksheets on classifying angles as right, straight, acute, obtuse or reflex and a worksheet on determining the type of a given triangle with respect to its interior angles (acute-angled, obtuse-angled, right-angled) and with respect to its sides (scalene, isosceles, equilateral). Detailed solutions are included. Master the fundamentals of geometry with this comprehensive, classroom-tested worksheet pack! Designed to guide students seamlessly from basic angle classification to multi-step triangle identification, this resource is perfect for main lessons, homework tasks, retrieval practice, or targeted interventions. **What’s Included:** • **Section 1: Angle Classification** – Students learn to recognize and classify independent angles from numeric degree measurements and precise visual geometric models. Covers acute, obtuse, right, straight, and reflex angles. • **Section 2: Classifying Triangles by Angles** – Structured exercises challenging students to evaluate interior angle properties to determine if a triangle is acute-angled, obtuse-angled, or right-angled. • **Section 3: Classifying Triangles by Sides** – Focused geometry problems where students categorize shapes based on side lengths or given corner properties into scalene, isosceles, or equilateral triangles. • **Full Step-by-Step Solutions Key** – Features complete, fully worked-out solutions for every problem—ideal for easy grading, student self-assessment, or independent study tracking. **Why Teachers Love It:** • **Scaffolded Progression:** Questions scale gracefully from basic recognition to geometric application, keeping high-achievers engaged while supporting lower-ability students. • **Clean, Uncluttered Layout:** Generous spacing around diagrams allows students plenty of room to write equations and show their working directly on the sheet. • **Zero Prep Required: **Simply download, print, and distribute directly to your class. ________________________________________

£2.70

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Geometry Triangle Congruence & Angle Relationships Worksheets Bundle

Identifying & Classifying Angles and Triangles Geometry Worksheets with Keys

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