Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the quadrilateral after a dilation with scale factor 2/3. Answer choices

J'(0, 0), K'(0, 9), L'(27/2, 18), and M'(18, 0)

J'(0, 0), K'(0, 4), L'(6, 8), and M'(8, 0)

J'(0, 0), K'(0, −4), L'(−6, −4), and M'(−8, 0)

J'(2/3, 2/3), K'(2/3, 20/3), L'(9/3, 38/3), and M'(38/3, 2/3)

The vertices of the quadrilateral after a dilation with scale factor are , , and .

Step-by-step explanation:

Let suppose that center of dilation is located at origin, that is . Vectorially speaking, dilation is described by following expression:

(1)

Where:

- Center of dilation.

- Original point.

- Dilated point.

- Dilation factor.

If we know that , , , , and , then the dilated points are, respectively:

The vertices of the quadrilateral after a dilation with scale factor are , , and .

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base