The true statement is (a) segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B'C'
The coordinates are given as:
![B'=(2,0)](https://tex.z-dn.net/?f=B%27%3D%282%2C0%29)
![C'=(2,6)](https://tex.z-dn.net/?f=C%27%3D%282%2C6%29)
The scale factor from BC is given as:
![k=2](https://tex.z-dn.net/?f=k%3D2)
So, the coordinates of segment BC are calculated using:
![B'=B*k](https://tex.z-dn.net/?f=B%27%3DB%2Ak)
![C'=C*k](https://tex.z-dn.net/?f=C%27%3DC%2Ak)
This gives
![(2,0)=B*2](https://tex.z-dn.net/?f=%282%2C0%29%3DB%2A2)
Divide both sides by 2
![B=(1,0)](https://tex.z-dn.net/?f=B%3D%281%2C0%29)
Also, we have:
![(2,6)=C*2](https://tex.z-dn.net/?f=%282%2C6%29%3DC%2A2)
Divide both sides by 2
![C=(1,3)](https://tex.z-dn.net/?f=C%3D%281%2C3%29)
Hence, the true statement is (a)
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