Which statements is an example of the symmetric property of congruence?
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Step-by-step explanation:
The answer for this question is option C.
An example of the symmetric property of congruence is Option C .ΔKLM =ΔPQR, then ΔPQR =ΔKLM.
Theorem 2.1 Properties of Segment Congruence Segment congruence is reflexive, symmetric, and transitive. Reflexive For any segment AB, AB = AB. Symmetric If AB = CD, then CD = AB. Transitive If AB = CD and CD = EF, then AB = EF.
This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement. For example, all of the following are demonstrations of the symmetric property: If x + y = 7, then 7 = x + y. The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first. If Jane's height is equal to Dave's height, then it also means that Dave's height is equal to Jane's height.
Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.
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