question 8
if the scale factor were $ \frac { 1 } { 1.5 } $ instead, where would the new triangle land? list the coordinates below of this new shape below.
a city planner is designing a zoomed - in map of a triangular plaza. she starts with triangle $ a b c $, with vertices at $ ( - 4,2 ) $, $ ( 6, - 2 ) $,
and $ ( 2,4 ) $, and creates a dilation centered at the origin with a scale factor of 1.5 to produce triangle $ a ^ { \prime } b ^ { \prime } c ^ { \prime } $.

Question

Accepted Answer

# Explanation:
## Step1: Multiply each coordinate by the scale factor
When a figure is dilated centered at the origin with a scale factor $k$, the coordinates of each vertex $(x,y)$ of the original figure are transformed to $(kx,ky)$. Here, the scale factor $k = \frac{1}{2}$.
For the vertex $(- 4,2)$:
$$
\begin{align*}
x&=-4\times\frac{1}{2}=-2\
y&=2\times\frac{1}{2} = 1
\end{align*}
$$
For the vertex $(6, - 2)$:
$$
\begin{align*}
x&=6\times\frac{1}{2}=3\
y&=-2\times\frac{1}{2}=-1
\end{align*}
$$
For the vertex $(2,4)$:
$$
\begin{align*}
x&=2\times\frac{1}{2}=1\
y&=4\times\frac{1}{2}=2
\end{align*}
$$

# Answer:
$(-2,1)$, $(3,-1)$, $(1,2)$

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Question

Explanation:

Step1: Multiply each coordinate by the scale factor

Answer: