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 .

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.