Mathematics
Grade9
Easy

Question

Which property justifies the next step?

Error converting from MathML to accessible text. Given
Error converting from MathML to accessible text.  

  1. Symmetric Property
  2. Transitive Property
  3. Segment Addition Property
  4. Reflexive Property

hintHint:

In this question we are given (CT) ̅ ≅ (XM) ̅ . We are given two lines and line CT and XM is approximately equal each other. We have to find out property behind this next step (XM) ̅ ≅ (CT) ̅ .

The correct answer is: Symmetric Property


    Here we have to find out which property justifies the next step.
    Firstly, we have given stack C T with bar on top space approximately equal to space stack X M with bar on top
    And the next step is stack X M with bar on top space approximately equal to space stack C T with bar on top space.
    According to symmetric property ,
    x = y so y = x.
    Therefore, it satisfies the property of symmetric where stack C T with bar on top space approximately equal to space stack X M with bar on top and stack X M with bar on top space approximately equal to space stack C T with bar on top space.
    The correct answer is Symmetric property.

    In this question, we have to find the properties justifies the next step. While , in symmetric property  where x = y then y = x, in reflexive x = x , in transitive x = y  and y = z then x = z and in segment addition property if line have point a,b and c then ab + bc = ac.

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