GCSE Maths Practice: congruence-and-similarity

Question 9 of 10

This question reinforces the key properties of similarity, helping students identify preserved elements.

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\( \begin{array}{l}\text{Which statements are true for similar shapes?}\end{array} \)

Select all correct options:

Check angles and side ratios carefully; ignore area for similarity questions.

When shapes are similar, all corresponding angles are equal, and the lengths of corresponding sides are in proportion. This means that while the overall size may differ, the shape remains the same geometrically. It is crucial to understand that area does not stay the same; it changes according to the square of the scale factor. This knowledge allows students to solve problems involving missing side lengths, scale models, and map reading. Recognizing these properties strengthens comprehension of geometric relationships and prepares students for more complex questions involving proportional reasoning and similarity in GCSE geometry.