Answer:
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The property that states why CAB = LFDE.DB is the Transitive Property of Equality. According to this property, if two quantities are equal to the same quantity, then they are equal to each other.
In the given statement AB | DE, the vertical line represents that AB and DE are congruent or equal. Now, let's break down the expression CAB = LFDE.DB:
1. CAB: This represents an angle formed by points C, A, and B.
2. LFDE: This represents a line segment formed by points L, F, D, and E.
3. DB: This represents a line segment formed by points D and B.
To understand why CAB = LFDE.DB, we need to analyze the given information AB | DE. This notation suggests that line segment AB is congruent to line segment DE. In other words, AB and DE have the same length.
Now, let's consider the angles and line segments mentioned in CAB = LFDE.DB:
1. CAB: This angle is formed by points C, A, and B.
2. LFDE: This line segment is formed by points L, F, D, and E.
3. DB: This line segment is formed by points D and B.
Since AB | DE implies that AB and DE have the same length, we can conclude that LFDE is congruent to AB. Therefore, we can rewrite CAB = LFDE.DB as CAB = AB.DB.
Now, applying the Transitive Property of Equality, we can say that if CAB = AB.DB and AB = DE (from the given information), then CAB = DE.DB.
In summary, the property used to state why CAB = LFDE.DB is the Transitive Property of Equality. It allows us to equate angles and line segments based on their congruence or equality.
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Explanation: