Mathematics : Geometry: Points to Remember

**Points to Remember**

·
Two triangles are similar

(i) if their corresponding angles are equal

(ii) their corresponding sides are in the same ratio or
prvoportional.

·
Any congruent triangles are similar but the converse is not true

·
*AA*** **similarity criterion is
same as the** ***AAA*** **similarity criterion.

·
If one angle of a triangle is equal to one angle of another
triangle and the sides If one angle of a triangle is equal to one angle of
another triangle and the sides

·
If three sides of a triangle are proportional to the corresponding
sides of another** **triangle, then the two
triangles are similar (SSS)

·
If two triangles are similar then the ratio of the corresponding
sides is equal to the** **ratio of the
corresponding perimeters.

·
The ratio of the area of two similar triangles are equal to the
ratio of the squares of** **their corresponding
sides.

·
A tangent to a circle will be perpendicular to the radius at the
point of contact.

·
Two tangents can be drawn from any exterior point of a circle.

·
The lengths of the two tangents drawn from an exterior point to a
circle are equal.

·
Two direct common tangents drawn to two circles are equal in
length.

Tags : Geometry | Mathematics Geometry | Mathematics

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