Answer:
Option B is correct
0.5
Step-by-step explanation:
The rule of dilation with scale factor k is given by:
[tex](x, y) \rightarrow (kx, ky)[/tex]
As per the statement:
△BCD is dilated to become triangle △B′C′D′
△ BCD has coordinates B(4, 2) , C(6, 2) , and D(6, 5)
△ B′C′D′ has coordinates B′(2, 1) , C′(3, 1) , and D′(3, 2.5)
Apply the rule of dilation on BCD triangle we have;
[tex]B(4, 2) \rightarrow (k(4), k(2)) =B'(4k, 2k)[/tex]
B'(2, 1) = B'(4k, 2k)
On comparing both sides we have;
2 = 4k
Divide both sides by 4 we have;
[tex]\frac{2}{4} = k[/tex]
[tex]0.5 = k[/tex]
or
k = 0.5
Therefore. the scale factor of the dilation is, 0.5
