By the SAS test, ABC ≅ DEF
Having the same size and shape
The SAS test, also known as the Side-Angle-Side test for congruence, states that if two triangles have two pairs of sides in the same proportion and the included angle between them is congruent, then the triangles are congruent.
So, if we know that ABC and DEF are congruent by SAS, we can conclude that:
1. Both triangles have two pairs of sides in the same proportion – This means that the lengths of two sides of one triangle are equal to the lengths of two sides of the other triangle. For example, AB/DE = BC/EF.
2. The included angle is congruent – This means that the angle between the two sides of one triangle is equal to the angle between the two sides of the other triangle. For example, ∠BAC ≅ ∠EDF.
Using these two conditions, we can conclude that the corresponding angles and sides of both triangles are congruent, and therefore the two triangles ABC and DEF are congruent.
More Answers:
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