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 ABC and DEF.
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,
AB = DE = 5 cm
BC = DF = 10 cm
The included angles are not equal.
Therefore, the given pair of triangles are not congruent.
✦ 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 (vi)
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 ABC and DEF.
Summary:
The given pair of triangles are not congruent by SAS congruence criterion.
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