Question

The vertices of AJKL are J(-3, -2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(^JKL)? Select all that apply.

Answer 1

Given:

The vertices of ΔJKL are J(-3, -2), K(1, 4), and L(4, 2).

To find:

The coordinate pairs of vertices of $D_5(\Delta JKL)$.

Solution:

We know that, $D_5(\Delta JKL)$ means triangle JKL dilated by scale factor 5 with origin as center of dilation.

If a figure is dilated by factor k and origin is the center of dilation, then

$(x,y)\to (kx,ky)$

From the given problem, the rule of dilation is

$(x,y)\to (5x,5y)$

Now,

$J(-3,-2)\to J'(5(-3),5(-2))=J'(-15,-10)$

$K(1,4)\to K'(5(1),5(4))=K'(5,20)$

$L(4,2)\to L'(5(4),5(2))=L'(20,10)$

Therefore, the coordinate pairs of vertices of $D_5(\Delta JKL)$ are J'(-15,-10), K'(5,20) and L'(20,10).