Mathematics
Grade9
Easy
Question
What is the justification?
If LM = NP, then ![stack L M with minus on top approximately equal to stack N P with minus on top](data:image/png;base64,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)
- Definition of congruence
- Reflexive Property of Congruence
- Segment Addition Postulate
- Definition of Midpoint
Hint:
In this given question, we have given statement is LM = NP . Now we have to find the reason of (LM) ̅ ≅ (NP) ̅ . Remember the property of equality.
The correct answer is: Definition of congruence
Here , we have to find the reason of (LM) ̅ ≅ (NP) ̅
Firstly, given is LM = NP ,
Now, (LM) ̅ ≅ (NP) ̅ ,
If lines are congruent then we use ≅ this symbol, And also both line are equal LM = NP which is given.
Therefore, the reason of (LM) ̅ ≅ (NP) ̅ is Reflexive Property of congruence.
The correct answer is Reflexive property of congruence.
In this question, we have to find the reason of (LM) ̅ ≅ (NP) ̅ . If the line are congruent then we also give then a sign of approximately equal ≅. Both lines are also equal that’s why its follow the Reflexive property of congruence.