Respuesta :
The properties of equality and congruency are used to define the relationship between geometric figures
The correct matches are
- If JK = LM then JK ≅ LM ⇒ Definition of congruency
- If AB = CD, then AB + EF = CD + EF ⇒ Addition Property of Equality
- If AB ≅ BC and BC ≅ CE, then AB ≅ CE ⇒ Transitive Property (of = or ≅)
- If Q is between P and R, then PQ + QR = PR ⇒ Segment Addition Postulate
- QR = QR ⇒ Reflexive Property (of = or ≅)
- If 2KL = KL + MN, then KL = MN ⇒ Addition Property of Equality
- If RS + TU = XY and TU = WV, then RS + WV = XY ⇒ Transitive Property of Equality
- If 2·XY = YZ, then XY = ¹/₂·YZ ⇒ Division Property of Equality
Reasons:
Definition of Congruency
When the corresponding dimensions of two figures are equal, they are said to be congruent
Addition Property of Equality
Two values will remain equal, when the same quantity is added to the values
Transitive Property
If two dimensions are congruent to a third dimension, then the two dimensions are congruent to each other
Segment Addition Postulate
A point C is located between two points A, and B, only if point C, AC + CB = AB
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