Mathematics
Grade9
Easy
Question
What is the justification?
and
so
![angle C approximately equal to angle A](data:image/png;base64,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)
- Symmetric Property
- Angle addition postulate
- Reflexive Property
- Transitive Property
Hint:
IN a transitive relation
a->b
b->c
then , a->c
The correct answer is: Transitive Property
Given
![angle C approximately equal to angle H](data:image/png;base64,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)
and
![angle C approximately equal to angle A](data:image/png;base64,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)
if you observe carefully, it follows x = y and y = z, then also x = z
So , it is transitive property .
whenever x = y and y = z, then also x = z