Which statement is an example of the symmetric property of congruence?
2 answers:
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 , then
.
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 , then
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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The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
<h3>Test Statistic</h3>The test statistic can be calculated using the formula below
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
Using the data from the test statistic, we can calculate the p-value of the data
From the calculation above, the test statistic and p-value of the given data are
- 6.274
- 0.0001
Learn more on test statistic and p-value here;