graph the image of $\triangle fgh$ after a dilation with a scale factor of 2, centered at the origin.
graph the image of $\triangle fgh$ after a dilation with a scale factor of 2, centered at the origin.
Answer
Explanation:
Step1: Identify original coordinates
$F(-5, 3)$, $G(5, 3)$, $H(-5, -5)$
Step2: Apply dilation formula
For a dilation centered at origin with scale factor $k$, new coordinates are $(k \cdot x, k \cdot y)$. Here $k=2$. New $F'$: $\left(2 \cdot (-5), 2 \cdot 3\right) = (-10, 6)$ New $G'$: $\left(2 \cdot 5, 2 \cdot 3\right) = (10, 6)$ New $H'$: $\left(2 \cdot (-5), 2 \cdot (-5)\right) = (-10, -10)$
Step3: Plot and connect points
Plot $F'(-10,6)$, $G'(10,6)$, $H'(-10,-10)$ and connect to form $\triangle F'G'H'$.
Answer:
The vertices of the dilated triangle are $F'(-10, 6)$, $G'(10, 6)$, and $H'(-10, -10)$. When plotted and connected, this forms the dilated image of $\triangle FGH$.