Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Use the given verices to calculate the coordinates of /_\LMN after a dilation centered at the origin with scale factor k=-3. L(0,0),M(-4,1),N(-3,-6)$

Use the given verices to calculate the coordinates of $\triangle L M N$ after a dilation centered at the origin with scale factor $k=-3$ . $\newline$ $L(0,0), M(-4,1), N(-3,-6)$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify radical expressions with variables II

Full solution

Q. Use the given verices to calculate the coordinates of

\triangle L M N

after a dilation centered at the origin with scale factor

k=-3

\newline

L(0,0), M(-4,1), N(-3,-6)

Understand Dilation Effect: Understand the effect of dilation with a negative scale factor. Dilation with a scale factor of $k=-3$ means that each vertex of the triangle will be scaled by a factor of $3$ and reflected across the origin because the scale factor is negative.
Apply Dilation to Vertex L: Apply the dilation to vertex L $(0,0)$ . Since L is at the origin, and dilation centered at the origin will not change its position, regardless of the scale factor. $L' = (0 \times -3, 0 \times -3) = (0, 0)$
Apply Dilation to Vertex $M$ : Apply the dilation to vertex $M(-4,1)$ . Multiply each coordinate of $M$ by the scale factor $-3$ . $M' = (-4 \times -3, 1 \times -3) = (12, -3)$
Apply Dilation to Vertex $N$ : Apply the dilation to vertex $N(-3,-6)$ . Multiply each coordinate of $N$ by the scale factor $-3$ . $N' = (-3 \times -3, -6 \times -3) = (9, 18)$