Proofs Algebraic Flashcards 2

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Questions and Answers

Qual es le propertate symmetric de equalitate?

  • a = a
  • Segmento AB ≈ segmento AB
  • Si a = b, allura ac = bc
  • Si a = b, allura b = a (correct)

Qual es le propertate de multiplication de equalitate?

  • Si a = b, allura b = a
  • a + c = b + c
  • Segmento AB ≈ segmento AB
  • Si a = b, allura ac = bc (correct)

Qual es le reflexive propertate de congruentia?

Segmento AB ≈ segmento AB

Qual es le reflexive propertate de equalitate?

<p>a = a</p> Signup and view all the answers

Qual es le propertate de addition de equalitate?

<p>Si a = b, allura a + c = b + c (A)</p> Signup and view all the answers

Qual es le distributive propertate?

<p>a(b + c) = ab + ac</p> Signup and view all the answers

Qual es le propertate transitive de equalitate?

<p>Si a = b e b = c, allura a = c</p> Signup and view all the answers

Le propertate symmetric de congruentia es si a ≈ b, allura b ≈ a.

<p>True (A)</p> Signup and view all the answers

Flashcards

Symmetric Property of Equality

If a = b, then b = a.

Multiplication Property of Equality

If a = b, then ac = bc.

Reflexive Property of Congruence

Segment AB is congruent to itself.

Reflexive Property of Equality

a = a

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Addition Property of Equality

If a = b, then a + c = b + c.

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Distributive Property

a(b + c) = ab + ac

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Transitive Property of Equality

If a = b and b = c, then a = c.

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Symmetric Property of Congruence

If a ≈ b, then b ≈ a.

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Study Notes

Propriedades de Equality e Congruentia

  • Propriedade simmetrica de equality: Si a = b, tunc b = a.
  • Propriedade de multiplication de equality: Si a = b, tunc ac = bc.
  • Propriedade reflexiva de congruentia: Segmento AB ≈ segmento AB, demonstrando que un segmento es sempre congruente a se mesme.
  • Propriedade reflexiva de equality: a = a, affirmando que qualunque quantity es equal a se mesme.
  • Propriedade additive de equality: Si a = b, tunc a + c = b + c, permitte addicionar le mesmo quantity al utere duo partes de un equatio.
  • Propriedade distributiva: a(b + c) = ab + ac, indican que multiplicar a per le summa b e c es le mesmo como multiplicar a per c e b separemente.
  • Propriedade transitive de equality: Si a = b e b = c, tunc a = c, mostrando le connexion logic inter tres quantities.
  • Propriedade simmetrica de congruentia: Si segmento AB ≈ segmento CD, tunc segmento CD ≈ segmento AB, mirrorando le simmetria in congruentia.

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