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 .
