By the SSS test, ABC ≅ DEF
The side of a right triangle opposite the right angle and the longest side of a right triangle
The SSS test is one of the congruency tests in geometry. It stands for Side-Side-Side. The test states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
In the statement By the SSS test, ABC ≅ DEF, we can infer that:
– ABC and DEF are two separate triangles
– The three sides of ABC are congruent to the three sides of DEF
– Therefore, ABC and DEF are congruent
So, we can say that ABC and DEF are identical in shape and size. The abbreviation ≅ means congruent to. Therefore, we can write ABC ≅ DEF to indicate this fact.
Note that when we say two triangles are congruent, we mean that all their corresponding parts (sides and angles) are equal. This implies that if we place one triangle on top of the other, they will perfectly overlap with each other.
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