If three angles of two triangles are equal, triangles are congruent. State whether the statement is true or false.

Solution:

Given, if three angles of two triangles are equal, triangles are congruent.

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

We know that in an equilateral triangle each angle is equal to 60 degrees.

Consider two triangles ABC and DEF,

We observe that both triangles have the same shape and same angles with different sizes.

If two figures have the same shape and the same size, then they are said to be congruent figures.

This implies that both triangles will not overlap each other exactly.

Therefore, two triangles with equal angles are not congruent.

✦ Try This: If three sides of two triangles are equal, triangles are congruent. State whether the statement is true or false.

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 98

If three angles of two triangles are equal, triangles are congruent. State whether the statement is true or false.

Summary:

The given statement,”If three angles of two triangles are equal, triangles are congruent” is false.

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