Mathematics
Grade9
Easy

Question

Which property listed is the reason for the last step in the proof?
GIVEN: m angle 1 equals 59 to the power of ring operator end exponent comma m angle 2 equals 59 to the power of ring operator end exponent
PROVE: m angle 1 equals m angle 2
Statements Reasons
1. m straight angle 1 equals 59 to the power of ring operator comma m straight angle 2 equals 59 to the power of ring operator 1. Given
2. 59 to the power of ring operator equals m straight angle 2 2. Symmetric Property of Equality
3. m straight angle 1 equals m straight angle 2 3. _____?

 

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

Hint:

In this question,  we are given m∠1=59° and m∠2=59°. We have to prove that m∠1=m∠2. Here one more thing is given is 59°= m∠1 and this property is symmetric. Match all the property to given condition.

The correct answer is: Transitive Property of Equality


    Here we have to find what is property of m∠1=m∠2.
    Firstly, we have given that m∠1=59° and m∠2=59°. And 59°= m∠1 and this property is symmetric.
    In symmetric , if A = B then B = A as well.
    So m∠1=59° and 59°= m∠1 then we can also write m∠2=59° then 59°= m∠2
    Here, m∠1=59° and m∠2=59° and also m∠1=m∠2.
    Lets here A = m∠1 and B = 59° and C = m∠2
    Here , m∠1=59° [A = B]
    And, 59°= m∠2 [B = C]
    Note, in transition, A =B and B = C then A =C ,
    There fore, we can write , m∠1=m∠2 . So the property is Transitive property of Equality.
    The correct answer is Transitive property of Equality.

    Here we have,  find the property of m∠1=m∠2 which is transitive. In transitive if A = B and B = C is given then it is also A = C .

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