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

Solution:

We have to determine which of the given options is not a criterion for congruence of two triangles.

ASA - Angle-Side-Angle congruence rule

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".

SSA - Side-Side-Angle congruence rule

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.

SAS - Side-Angle-Side congruence rule

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.

SSS - Side-Side-Side congruence rule 

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: The measures of angles of a triangle are x°, ( x-20)°, (x-40)°. Find the measure of each angle

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

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NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 4

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

Summary:

SSA is not a criterion for congruence of two triangles

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