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Answer 4.
A ________ C _________ B
From above figure we can say that, AC = BC
Add AC on both sides
→ AC + AC = BC + AC
→ 2AC = AB
As, BC + AC = AB
→ AC = 1/2 AB
Hence, proved.
Answer 5.
A ________ C __ D ________ B
From above figure we can say that AC = BC and AD = BD
Subtract both of them
→ AC - AD = BC - BD
→ - DC = DC
→ - DC - DC = 0
→ -2DC = 0
→ DC = 0
As the distance between C and D is 0 means they coincide each other. This proves that the segment has the one and only one mid point.
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