Mathematics
Grade9
Easy

Question

Name the property illustrated by the statement.
If stack X Y with minus on top approximately equal to stack U V with minus on top, then stack U V with minus on top approximately equal to stack X Y with minus on top

  1. Transitive Property of Equality
  2. Reflexive Property of Equality
  3. Symmetric Property of Equality
  4. Distributive Property

Hint:

In this question, we have given statement (XY) ̅ ≅ (UV) ̅  . Now we have to find the reason of (UV) ̅ ≅ (XY) ̅. Remember the property of equality .

The correct answer is: Symmetric Property of Equality


    Here we have to find the reason of (UV) ̅ ≅ (XY) ̅.
    Firstly , we have given that (XY) ̅ ≅ (UV) ̅ .
    And also this is given that (UV) ̅ ≅ (XY) ̅
    So according to reflexive property if X = Y then it Y = X.
    And here also (UV) ̅ ≅ (XY) ̅ then (XY) ̅ ≅ (UV) ̅ .
    Therefore , it follow the property of reflexive .
    The correct answer is Reflexive property of equality .

    In this question, (UV) ̅ ≅ (XY) ̅ and then (XY) ̅ ≅ (UV) ̅ because of the property of reflexive. Reflexive property of equality is say that if X = Y then Y = X also.

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