In Fig. 6.50, which pairs of triangles are congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.
Solution:
Given, the figure represents two triangles SQR and SQP.
We have to determine if the triangles are congruent by SAS congruence criterion.
We have to write the congruence of the two triangles in symbolic form.
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.
From the figure,
SP = RQ = 4 cm
Common side = SQ
∠PSQ = ∠RQS = 40°
By SAS criterion, ∆PSQ ≅ ∆RQS
✦ Try This: In Fig, which pairs of triangles are congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 148 (vii)
In Fig. 6.50, which pairs of triangles are congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form PQSR.
Summary:
The given pair of triangles are congruent by SAS congruence criterion. The symbolic form is ∆PSQ ≅ ∆RQS.
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