Which of the following is not a criterion for congruence of triangles?
a. SAS
b. ASA
c. SSA
d. SSS

Solution:

Let us consider each option

a. SAS - The SAS criterion states that If two sides of one triangle are respectively proportional to two corresponding sides of another, and if the included angles are equal, then the two triangles are congruent.

b. ASA - ASA congruence criterion states that, "if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent".

c. SSA - The SSA congruence rule states that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

d. SSS - SSS or Side-Side-Side congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent.

Therefore, SSA is not a criterion for congruence of triangles.

✦ Try This: If ∆ EFG ≅ ∆ UVW and ∆ EFG is not congruent to ∆ WVU, then which of the following is not true: a. FG = UV, b. EG = UW, c. VW = FG, d. EF = UV

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7

NCERT Exemplar Class 9 Maths Exercise 7.1 Problem 1

Which of the following is not a criterion for congruence of triangles?a. SAS , b. ASA , c. SSA , d. SSS

Summary:

SSA congruence rule is also known as side-side-angle congruence rule refers to the congruence of two triangles. SSA is not a criterion for congruence of triangles

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