If in ∆ABC and ∆DEF, AB = DE, ∠A = ∠D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion. State whether the statement is true or false

Solution:

Given, if in ∆ABC and ∆DEF, AB = DE, ∠A = ∠D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion.

We have to determine if the given statement is true or false.

According to the question,

ABC and DEF are two triangles.

AB = DE and BC = EF

∠A = ∠D

∠A is formed by the two sides AB and AC of the triangle ABC.

∠D is formed by the two sides DE and DF of the triangle DEF.

So, AC = DE

Therefore, the given statement is false

✦ Try This: In Fig. 6.27, ∠UQR = ∠QRP + ∠ ________ . Fill in the blanks to make the statement true

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

NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 12

If in ∆ABC and ∆DEF, AB = DE, ∠A = ∠D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion. State whether the statement is true or false

Summary:

The given statement,”If in ∆ABC and ∆DEF, AB = DE, ∠A = ∠D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion” is false

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