SAS Similarity Postulate

Definition of SAS Similarity Postulate

SAS Similarity Postulate states, “If an angle of one triangle is congruent to the corresponding angle of another triangle and the sides that include this angle are proportional, then the two triangles are similar.”

Example of SAS Similarity Postulate

    The triangles shown are similar as their corresponding angle is congruent and the sides including this angle are proportional. i.e,.
    The triangles shown are similar as their corresponding angle is congruent and the sides including this angle are proportional. i.e,

Video Examples: Notes SAS Similarity Theorem


Solved Example on SAS Similarity Postulate

Ques: Identify the postulate, based on which the given pair of triangles can be said similar?

     example of  SAS Similarity Postulate
    Choices:
    A. SSS similarity postulate
    B. SAS similarity postulate
    C. AA similarity postulate
    D. None of the above
    Correct Answer: B

Solution:

    Step 1: From the figure, ?ABC and ?PQR are similar by SAS postulate as and ?A = ?P.
    Step 2: So, the given triangles are similar by SAS similarity postulate.