Quiz On Reflexive Property Of Congruence

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Quiz On Reflexive Property Of Congruence - Quiz

Welcome to the captivating world of geometric principles! In this quiz, we'll unravel the fascinating concept of the Reflexive Property of Congruence. The reflexive property of congruence is used to prove congruence of geometric figures. This property is used when a figure is congruent to itself. Angles, line segments, and geometric figures can be congruent to themselves. Congruence is when figures have the same shape and size. Brace yourself to dive into the realm of congruent figures, lines, and angles, where the magic of equality and similarity thrives.
The Reflexive Property of Congruence is a fundamental concept in geometry Read morethat asserts the equality of any geometric figure or segment to itself. It's like looking into a mirror and recognizing your own reflection; the geometric elements essentially recognize and acknowledge their own congruence. Through a series of thought-provoking questions, we'll explore scenarios where lines, angles, and figures not only match themselves but also uncover the significance of this property in geometric proofs and logical reasoning.
Whether you're a budding math enthusiast or a geometry aficionado, this quiz offers an exciting opportunity to test your grasp of the Reflexive Property of Congruence. It's a chance to uncover the beauty of geometric equality and understand its pivotal role in proving the congruence of various shapes. Join us in this journey through the world of geometric fundamentals!


Reflexive Property of Congruence Questions and Answers

  • 1. 

    AB = BA This demonstrates which of the following? 

    • A.

      Multiply by (-1)

    • B.

      Substitution Property of Equality

    • C.

      Reflexive Property of Equality

    • D.

      Transitive Property of Equality

    Correct Answer
    C. Reflexive Property of Equality
    Explanation
    The equation AB = BA demonstrates the Reflexive Property of Equality.

    The Reflexive Property of Equality states that for any real number or mathematical expression, it is always equal to itself. In this case, AB is equal to itself, so it exemplifies the Reflexive Property of Equality. The other properties mentioned do not apply to this equation.

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  • 2. 

    Which statement exemplifies the Reflexive Property of Congruence?

    • A.

      If AB is congruent to CD, then CD is congruent to AB.

    • B.

      If AB is congruent to AB, then CD is congruent to CD.

    • C.

      If AB is congruent to AB, then angle ABC is congruent to angle CDE.

    • D.

      If AB is congruent to BC, then AB is congruent to CD.

    Correct Answer
    B. If AB is congruent to AB, then CD is congruent to CD.
    Explanation
    The Reflexive Property of Congruence is a geometric property that states that any geometric figure, such as a line segment or an angle, is congruent to itself. In this case, it shows that if segment AB is congruent to itself (AB), then segment CD is also congruent to itself (CD). The other statements do not represent the Reflexive Property of Congruence.

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  • 3. 

    Which property is demonstrated by the statement: If angle XYZ is congruent to angle XYZ, then angle XYZ is congruent to angle ZYX?

    • A.

      Transitive Property of Congruence

    • B.

      Symmetric Property of Congruence

    • C.

      Reflexive Property of Congruence

    • D.

      None of the above

    Correct Answer
    C. Reflexive Property of Congruence
    Explanation
    The Reflexive Property of Congruence states that any geometric figure (e.g., an angle) is congruent to itself. In this case, angle XYZ is congruent to itself (reflexive property), and the statement implies that angle XYZ is also congruent to angle ZYX, which is valid based on the reflexive property. The other properties (Transitive and Symmetric) are not demonstrated by this statement.

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  • 4. 

    If m∡S = 45º, then m∡S – 20º = 25º. This demonstrates which of the following? 

    • A.

      Subtraction Property of Equality

    • B.

      Substitution Property of Equality

    • C.

      Reflexive Property of Equality

    • D.

      Reflexive Property of Equality

    Correct Answer
    A. Subtraction Property of Equality
    Explanation
    The given statement demonstrates the Subtraction Property of Equality. According to this property, if two quantities are equal, then subtracting the same value from both sides of the equation will still result in equal quantities. In this case, m∡S is equal to 45°, and when we subtract 20° from both sides, we still have equal quantities, resulting in m∡S - 20° = 25°.

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  • 5. 

    If ⅛m∡G = 7º, then m∡G = 56º. This demonstrates which of the following?

    • A.

      Subtraction Property of Equality

    • B.

      Division Property of Equality

    • C.

      Addition Property of Equality

    • D.

      Multiplication Property of Equality

    Correct Answer
    D. Multiplication Property of Equality
    Explanation
    The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number (other than zero), the equality remains true. In this case, multiplying both sides of the equation ⅛m∡G = 7º by 8 results in m∡G = 56º, and the equality is preserved. This property is a fundamental algebraic principle applied to equations in geometry and other mathematical contexts.

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  • 6. 

    Using the Subtraction Property of Equality: If PQ + ST = RS + ST, then

    • A.

      PQ=RS

    • B.

      PR=QS

    • C.

      PS=RQ

    Correct Answer
    A. PQ=RS
    Explanation
    Using the Subtraction Property of Equality, if PQ + ST = RS + ST, we can subtract ST from both sides of the equation to isolate PQ and RS. This will give us PQ = RS. Therefore, the correct answer is PQ = RS.

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  • 7. 

    Using the Transitive Property of Equality: If BC = CD and CD = EF, then

    • A.

      BC=EF

    • B.

      BE=CF

    • C.

      BF=CE

    Correct Answer
    A. BC=EF
    Explanation
    The transitive property of equality states that if two quantities are equal to a third quantity, then they are equal to each other. In this case, the given information states that BC is equal to CD and CD is equal to EF. Therefore, by the transitive property, BC must be equal to EF.

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  • 8. 

    Using the Divison Property of Equality: If 3(m∡A) = 90, then m∡A =

    • A.

      30

    • B.

      60

    • C.

      120

    Correct Answer
    A. 30
    Explanation
    The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the equation remains true. In this case, we have the equation 3(m∡A) = 90. To isolate m∡A, we can divide both sides of the equation by 3. This gives us m∡A = 30. Therefore, the correct answer is 30.

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  • 9. 

    Using the Substitution Property of Equality: If LK + JM = 12 and LK = 2, then

    • A.

      2+JM=12

    • B.

      2+JM=14

    • C.

      2+JM=16

    Correct Answer
    A. 2+JM=12
    Explanation
    The given equation states that LK + JM = 12. It is also given that LK = 2. By substituting the value of LK into the equation, we get 2 + JM = 12. This equation is correct because it satisfies the given conditions.

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  • 10. 

    Using the Symmetric Property of Equality: If angle A = angle B, then

    • A.

      AngleB=angleA

    • B.

      AngleB>angleA

    • C.

      AngleB

    Correct Answer
    A. AngleB=angleA
    Explanation
    The explanation for the given correct answer is that the Symmetric Property of Equality states that if angle A is equal to angle B, then angle B is also equal to angle A. Therefore, the correct answer is angle B = angle A.

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  • Current Version
  • Nov 17, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 18, 2015
    Quiz Created by
    Jamessteve
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