GCSE Maths Practice: congruence-and-similarity

Question 7 of 10

This question asks which methods can prove triangle congruence. Understanding these is key for geometry proofs and diagram reasoning at GCSE.

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\( \begin{array}{l}\text{Which of the following can be used to prove triangle congruence?}\end{array} \)

Select all correct options:

SSS, SAS, ASA are congruence; AAA only proves similarity. Always match sides/angles correctly.

To prove two triangles are congruent, specific criteria must be met. The main methods are SSS, SAS, ASA, and RHS (for right-angled triangles). SSS means all three sides of one triangle match exactly with the other. SAS requires two sides and the included angle to be equal. ASA requires two angles and the included side to be equal. AAA, although it matches angles, only proves similarity (same shape, not necessarily same size), so it cannot confirm congruence. Correctly identifying which method applies helps solve geometric problems efficiently, especially when working with proofs, diagrams, and real-world applications. Practicing different triangle configurations improves recognition of which congruence criteria can be applied. Understanding the distinction between congruence and similarity is essential for GCSE success.