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# Similarity In Geometry

When there are two objects which have same shape, then the two objects are said to be geometrically similar and the Ratio of any two linear dimensions of one object is similar for any geometrically similar objects.
We can say the similar shape is just like congruent shapes in which they must be having same shape but it is not necessary that the size of the object is same, it may be different. Their Corresponding Angles are same and corresponding sides are in proportion. The similarity in Geometry shapes which are exactly same are congruent shapes Or we can say that two shapes are congruent when we can rotate, translate and reflect one of the shapes in such a way that it coincides exactly with the other shapes.

Hence, the shape when it may be reflected translated and rotated are congruent to its other part. These above two Triangles are congruent even though they are rotate in any direction. Similarity in Geometry shapes are identical in above case. The ratio of height to the hypotenuse of the triangle is same and all the dimensions of one triangle can be calculated by multiplying the dimensions of the other by a constant. It is a ratio that you get by dividing the corresponding side of one triangle by its other corresponding side in other similar triangle, it is known as similarity ratio. There are some rules for similarity in triangles.
Angle- angle similarity – if there are two triangles, if two angles of one triangle are congruent to the two angles of another triangle, then the triangles are similar.
Side-side-side similarity – there are two triangles, if all pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.
In case of similar Polygon, in which all corresponding angles are congruent or same and all corresponding sides are proportional.

## Similar Triangles

A triangle is said to be similar if they have same shape, but it can have different sizes or size may be similar. If a similar triangle is rotated then also it is called as similar or we can also say that one is mirror im...Read More

## Ratios and Proportions Geometry

A Ratio is used to represent the relation between two or more values. For example: if there are 10 pencils and 18 pens then we can write the ratio as:
10:18; or we can say that for every 10 pencils there ar...Read More

## Similar Polygons

Polygons are the closed curves formed by joining three or more line segments. We say that the polygons can be formed by 3 line segments, 4 line segments, 5 line segments, and even more than that. If we look at the triangle, we observe that the triangle is formed by joining 3 line segments end to end and forming the closed curve. Thus we say that the triangle has 3 verti...Read More

## Definition of Similarity

When we discuss about Geometry then we think about different angles, their values, shapes and many other things. In geometry when we think about the similarity then we can say when two geometrical shapes have same angles and sides then it is called similarity. The definition of similarity is when two objects have same shapes then these are similar. The sides of ...Read More