Mathematics
Grade9
Easy
Question
Name the property illustrated by the statement.
If 
, then 
- Transitive Property of Equality
- Reflexive Property of Equality
- Symmetric Property of Equality
- 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 .
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.
