Questions and Answers
Similar figures mean when two figures are of the same shape but are of different ______
sizes
Two figures are called similar when they both have a lot of the same properties but still may not be ______
identical
For example, the sun and moon might appear the same size but they are actually different in ______
size
In geometry, when two shapes such as triangles, polygons, quadrilaterals, etc have the same dimension or common ratio but size or length is different, they are considered similar ______
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The symbol to express similar figures is the same symbol for congruence i.e. ______
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Shapes are also considered to be similar when the ratios of the corresponding sides are equivalent i.e. ______
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Study Notes
Similar Figures
- Similar figures are two figures of the same shape but different sizes.
- They have the same properties, but may not be identical.
- Example: The sun and moon appear to be the same size, but are actually different in size, yet they are similar figures since they are both circular in nature.
Definition of Similar Figures
- Similar figures are defined as two or more objects or figures that appear the same or equal due to their shape.
- When magnified or demagnified, similar figures always superimpose each other.
- In geometry, similar figures have the same dimension or common ratio, but different sizes or lengths.
Characteristics of Similar Figures
- Shapes with the same dimension or common ratio, but different sizes or lengths, are considered similar figures.
- Example: Two circles of different radii are similar figures because they are of the same shape but different sizes.
- The symbol "∼" is used to express similar figures, but it does not mean the same in size.
- Shapes are considered similar when the ratios of the corresponding sides are equivalent.
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