Answer :
Point C is at (2,0)
Cut each coordinate in half to get (1,0)
2*(1/2) = 1
0*(1/2) = 0
So point C will move to (1,0)
Answer: Choice B)
Cut each coordinate in half to get (1,0)
2*(1/2) = 1
0*(1/2) = 0
So point C will move to (1,0)
Answer: Choice B)
Answer: The correct option is (B) (1, 0).
Step-by-step explanation: Given that ΔABC is dilated by a scale factor of [tex]\dfrac{1}{2}[/tex] with the center of dilation at the point A.
Let, the dilated triangle be ΔA'B'C'.
We are to find the co-ordinates of the point C'.
From the figure, we note that
the co-ordinates of the vertices of ΔABC are A(0, 0), B(0, 3) and C(2, 0).
Since the center of dilation is at the origin, so the co-ordinates of each vertex after dilation will be
[tex]A(0,0)\rightarrow A'\left(\dfrac{0}{2},\dfrac{0}{2}\right)=A'(0,0),\\\\B(0,3)\rightarrow B'\left(\dfrac{0}{2},\dfrac{3}{2}\right)=B'(0,1.5),\\\\C(0,0)\rightarrow C'\left(\dfrac{2}{2},\dfrac{0}{2}\right)=C'(1,0).[/tex]
Thus, the co-ordinates of point C' are (1, 0).
Option (B) is correct.