write the coordinates of the vertices after a dilation with a scale factor of $\\frac{1}{5}$, centered at…
write the coordinates of the vertices after a dilation with a scale factor of $\\frac{1}{5}$, centered at the origin.
Answer
Explanation:
Step1: Find coordinates of original points
From the graph, (Q(10,-10)), (R(10,5)), (S(0,-10))
Step2: Apply dilation formula
For a dilation centered at the origin with scale factor (k = \frac{1}{5}), the formula is ((x,y)\to(kx,ky))
- For (Q(10,-10)): (Q'\left(10\times\frac{1}{5},-10\times\frac{1}{5}\right)=(2,-2))
- For (R(10,5)): (R'\left(10\times\frac{1}{5},5\times\frac{1}{5}\right)=(2,1))
- For (S(0,-10)): (S'\left(0\times\frac{1}{5},-10\times\frac{1}{5}\right)=(0,-2))
Answer:
(Q'(2,-2)), (R'(2,1)), (S'(0,-2))