Question

What information is necessary to prove two triangles are similar?

Answer 1

• Different similarity theorems call for various pieces of data. Two congruent sides and a congruent angle must be present for the SAS similarity theorem to hold.
• When the two sides of one triangle are inversely proportionate to the two sides of another triangle. And it should be assumed that the included angle in both is congruent. the two triangles are identical.
• The two triangles are similar if two sides in one triangle are proportionate to two sides in another triangle and the included angle in both is congruent.
• The acronym for the SAS similarity theorem is: Side-Angle-Side
• This indicates that the triangles' two corresponding sides are congruent.
• Additionally, the angles between the matching sides coincide.
• In order to prove the SAS similarity theorem, two sides must be congruent and there must be a congruent angle between the matching sides.

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