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Match the property, definition, or postulate that justifies each statement.

If JK = LM, then JK ≅ LM

If AB = CD, then AB + EF = CD + EF


If AB ≅ BC and BC ≅ CE , then AB ≅ CE

If Q is between P and R, then PQ + QR = PR


QR = QR


If 2KL = KL + MN, then KL = MN


If RS + TU = XY and TU = WV, then RS + WV = XY


If 2XY = YZ, then XY = ½YZ



Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Substitution Property

Reflexive Property (of = or ≅)

Symmetric Property (of = or ≅)

Transitive Property (of = or ≅)

Definition of Congruence

Definition of Midpoint

Segment Addition Postulate

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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