In a △ABC and △DEF, ∠A = ∠D, ∠B = ∠E and AB = EF. The two triangles are congruent ?

Choose whether the given statement is true or false.

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True

False

answer is A.

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Detailed Solution

Let us consider the following triangle to check the information of the congruency
Two ways that proves the triangle to be congruent are 4480.jfif

1) Side-Angle-Side
Given that ∠B = ∠E
That means one angle is equal
Next, we need to show that two sides are equal but we have information of only one side i.e. AB = EF
That means the triangles is not congruent by the property side-angle-side
Let us consider another type to prove
2) Angle-side-Angle
Two triangles are said to be congruent if they have same two angles and one side
Given that,
∠A = ∠D
∠B = ∠E
AB = EF
Hence we can say that the triangle is congruent to the other by the Angle-Side-Angle property.
So, the correct option is (1)
Hence, the given statement is true.

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