MATH HELP!! similar triangles...?

Question

can anyone tell me anything about similar triangles? step by step?

Answer 1

Two triangles are said to be similar if they have the exact same shape but not always the exact same size. There are 3 conditions for similarity:
AAA
SSS
SAS

In AAA, all the angles of both triangles must be equal. The best example would be equilateral triangles.
In SSS, the ratio of two sides must be equal to the ratio fo other pairs.
In SAS. Two sides must be in proprtion and the included angle must be equal.

Answer 2

Two triangles are said to be similar if the corresponding angles are same. what i mean by this is that if say one triangle (say ABC)has angles 60, 50 and 70, then any triangle with angles 50 60 and 70 are similar to ABC. Note that this is different frm congruency in that the corresponding sides need not be the same. A very interesting property of similar triangles is that the corresponding sides are in the same ratio. that is say ABC and PQR are similar with angles A=P B=Q C=R (say) then AB/PQ=BC/QR=AC/PR

Answer 3

Two triangles are similar if and only if they have the same three angles, the so-called "AAA" condition.
Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly "stretching", possibly with additional rotation, i.e., both have the same shape, or additionally the mirror image is taken, i.e., one has the same shape as the mirror image of the other.

Answer 4

If two triangles, ABC and DEF, are similar, then the following are true:
Angle ABC = Angle DEF
Angle BAC = Angle EDF
Angle ACB = Angle DFE
The above angles can all be "reversed" as well (CBA, CAB, BCA, etc).

If AB, AC, BC, DE, DF, EF are all the lengths of the sides, then:
AB/DE = AC/DF = BC/EF (the ratio between all sides is constant)

I am sure there is something I am forgetting, but I hope those help!!!