Answer:
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Step-by-step explanation:
An equilateral triangle is a triangle in which all the three sides are equal and all the angles are also equal. Each angle in an equilateral triangle is equal to 60°.
1) We cannot determine if the Two triangles are congruent because for congruence at least one side must be equal. Since we know that all the angles in both triangle ABC and DEF have the same measure of angle, we cannot finalize that they are congruent until the have at least one equal measure of length
ΔABC is not ≅ ΔDEF
2) All angles in an equilateral triangle are equal and is 60°. Therefore m∠E = 60°
3) Two triangles are said to be similar if they have the same shape and their sides have the same proportion. Since both triangle ABC and DEF have the same measure of angle, therefore they are similar. i.e
ΔABC ~ ΔDEF
An equilateral triangle is a triangle with all three sides of equal length and all angles are equal.
△ABC and △DEF are not congruent to each other.
∠E = 60 degree.
△ABC ≈ △DEF
Since, An equilateral triangle has three sides with equal length and three angles with equal measure.
1 . In triangle △ABC and △DEF , for congruency at least one side should be equal to apply ASA congruency rule.
ASA congruence state that , if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent.
2. Both triangles △ABC and △DEF are equilateral.
∠B = ∠E = 60 degree
3. Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Similar triangles are the same shape, but not necessarily the same size.
So, triangles △ABC and △DEF are similar.
△ABC ≈ △DEF
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