Are all equilateral triangles similar? Explain your answer please.?

Question

What is an example of a similarity statement? Write one, if possible.

Answer 1

Yes. Similar figures have the same shape. All equilateral triangles have three 60 degree angles. Threfore they are all the same shape, even though some are bigger than others, because the sides of different triangles can be of different lengths.

Answer 2

All Equilateral Triangles Are Similar

Answer 3

the simple anwser is yes all equilateral triangles are similar!

due to the rules within mathematics that make an equilateral triangle what it is, all triangles have an internal angle measurement of 180 degrees. The equilateral triangle has its angles equally divided so 60 dgrees x 3 = 180 degrees.
this has the effect on the length of each of it sides being that they will be of equal lenght so if one side is 110 mm then all of its side will be 110 mm!

also the extenal angle will be like that of the inteteral angle equal on conjuctions

hope this helps

Answer 4

Yes. Equilateral triangles are also equiangular. All equilateral triangles have their three angles = 60 degrees. Thus all Equilateral triangles are similar because of the definition of similar triangles. Two triangles are similar if two angles of one = two angles of the other. The third angles are also equal.

Answer 5

yes, all equilateral triangels are similar

this is because similar means that all the angles are equal, similar triangles are just larger or smaller "copies" of eachother. because the angles of a triangle equal 180 and there are 3 angles, all equilateral trianges have 60 degree angles. (180/3=60)

if all equilateral triangels have the same size angles, they are all similar

Answer 6

yes, all equilateral triangles are always similar.
AA similarity.
SAS similarity
SSS similarity.

Answer 7

And the ratios of the corresponding sides are all the same.