GCSE Maths Practice: congruence-and-similarity

Question 8 of 10

This question focuses on the properties of similar shapes. Students must identify what is preserved under similarity.

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

Select all correct options:

Remember: angles stay the same, sides are proportional, area changes with square of scale factor.

In similar shapes, corresponding angles are equal, and side lengths are proportional, but the area changes according to the square of the scale factor. Recognizing these properties is essential for solving proportionality problems, calculating missing lengths, and working with real-life scale models. For example, if one side of a triangle is twice as long as its corresponding side in a similar triangle, all sides will be scaled by the same factor. The area, however, will scale by the square of the factor. This distinction helps in practical problems such as map reading, model construction, and geometric proofs. Understanding similarity also helps differentiate from congruence, which requires identical size and shape.