Mathematics

Grade9

Easy

Question

# Which property listed is the reason for the last step in the proof?

GIVEN:

PROVE:

Statements | Reasons |

1. | 1. Given |

2. | 2. Symmetric Property of Equality |

3. | 3. _____? |

- Transitive Property of Equality
- Reflexive Property of Equality
- Symmetric Property of Equality
- 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 .