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choli [55]
3 years ago
6

Which statement is an example of the symmetric property of congruence?

Mathematics
2 answers:
Anna35 [415]3 years ago
7 0
The answer is D. The symmetric property of congruence basically just states that if A is congruent to B, then B is congruent to A. This is like symmetry or a mirror, thus giving it it's name.
olchik [2.2K]3 years ago
3 0

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If A\cong B, then B\cong A.

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If \Delta EFG\cong \Delta HJK, then \Delta HJK\cong \Delta EFG which is the exact statement of the symmetric property of congruence when applied to triangles.

Thus, Option D is the correct option.

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