GCSE Maths Practice: congruence-and-similarity

Question 5 of 10

This question focuses on the SAS congruence rule, requiring students to identify the sides and included angle relationship.

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\( \begin{array}{l}\text{Which congruence rule requires two sides and the included angle to match?}\end{array} \)

Choose one option:

Ensure the angle is between the two sides. SAS requires sides + included angle.

The SAS (Side-Angle-Side) rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. This method is widely used in geometric proofs and construction problems. It is essential to identify which angle is included between the two sides; an incorrect angle selection can lead to an incorrect conclusion. Practising this rule helps students visually inspect triangles and apply congruence principles correctly. This knowledge is applied not only in academic exercises but also in engineering, design, and model construction where precise measurements are critical. Distinguishing SAS from other congruence rules like SSS, ASA, and RHS strengthens reasoning skills and ensures accuracy in problem-solving.