Mathematics
Grade9
Easy
Question
Name the property that the statement illustrates:
If
and
, then ![angle L approximately equal to angle N](data:image/png;base64,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)
- Reflexive property of congruence
- Symmetric property of congruence
- Transitive property of congruence
Hint:
definition of transitive relation .
The correct answer is: Transitive property of congruence
Given
and
, then ![angle L approximately equal to angle N](data:image/png;base64,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)
According to transitive property .
( a, b ) is in relation ( b , c ) is in relation then ( a , c ) will also be there
And above relation also follows the same thing .
SO , it is transitive .
In mathematics, a relation R on a set X is transitive if, for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c.