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Prove triangles match exactly in GCSE Foundation. Learn SSS, SAS and RHS tests, mark equal sides and angles, and use congruence to justify measurements in diagrams and constructions.
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Fascinating Fact:
In engineering drawings, triangles are congruent by SAS when two sides and the included angle match, ensuring parts bolt together precisely.
In GCSE Maths (Foundation), congruence means two shapes are exactly the same size and shape. For triangles, you justify congruence using tests like SSS, SAS, ASA and RHS, then match corresponding sides and angles.
Key Terms
Congruent: Exactly the same size and shape. Matching triangles fit perfectly when overlaid.
Included angle: The angle formed between two given sides of a triangle.
Corresponding parts: Matching sides or angles in two shapes, used to compare and prove congruence.
Frequently Asked Questions (Click to see answers)
What does congruent mean in GCSE Maths?
Congruent shapes are identical in size and shape. If two triangles are congruent, all corresponding sides and angles are equal.
What are the triangle congruence tests at Foundation?
The common tests are SSS (three equal sides), SAS (two sides and the included angle), ASA (two angles and a side), and RHS (right angle, hypotenuse, one other side).
How is congruence different from similarity?
Congruent shapes are the same size and shape. Similar shapes have the same shape but can be different sizes; their corresponding sides are in proportion.