Answer :
A triangle can be proved similar using Side-Side-Side if all three sides of one triangle are in proportion to the three sides of another triangle.
i.e.,
If all the three corresponding sides of two triangles are equal to each other, then they are congruent.
Thus,
if AB/XY = BC/YZ = AC/XZ
then ΔABC ≅ ΔXYZ.
Then we can also say that
∠A = ∠X,
∠B = ∠Y and
∠C = ∠Z
because angles corresponding to similar angles are also equal.
If two triangles' corresponding angles and sides are congruent and proportionate, then the two triangles are similar. However, we don't absolutely need to take into account all the angles and sides to check this. To demonstrate comparable triangles, we only need to know about proportional sides and the SSS similarity theorem.
To learn more about SSS
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