Mr.Brown said:similarity means just the same up to scale hence all angles are the same but the lenghts are different.
Similar quadrilaterals are two quadrilaterals that have the same shape but different sizes. This means that their corresponding angles are equal and their corresponding sides are proportional.
To determine if two quadrilaterals are similar, you can use the Side-Angle-Side (SAS) or Angle-Angle (AA) similarity criteria. If the corresponding sides and angles of the two quadrilaterals are equal, then they are similar.
Similar quadrilaterals are important in geometry because they allow us to make predictions and solve problems involving unknown sides or angles. They also help us understand the relationship between different shapes and their properties.
No, not all quadrilaterals are similar. For two quadrilaterals to be similar, they must have the same shape and their corresponding angles and sides must be proportional. Some examples of similar quadrilaterals are squares, rectangles, and parallelograms.
Similar quadrilaterals can be used in real life in various ways. For example, architects and engineers use similar quadrilaterals to design buildings and structures. Map makers also use similar quadrilaterals to create maps. Additionally, similar quadrilaterals can be used in navigation and land surveying.