Rectangle ABCD is dilated with center at (0, 0) and scale factor 2. Select the three statements that are true about the dilation.

Options (3), (4) and (6)

Step-by-step explanation:

Coordinates of the vertices of the given rectangle are,

A(1, 5), B(3, 2), C(-3, -2) and D(-5, 1)

When rectangle ABCD is dilated by a scale factor of 2 about the origin,

Rule to be followed for the dilation,

(x, y) → (2x, 2y)

Therefore, image of the rectangle ABCD will be,

A(1, 5) → A'(2, 10)

B(3, 2) → B'(6, 4)

C(-3, -2) → C'(-6, -4)

D(-5, 1) → D'(-10, 2)

- Hence point B' is located at (6, 4).

- Rectangle ABCD and A'B'C'D' are similar as all the angles of image will be same as the pre-image after rigid transformation (dilation).

- Let the equation of the line B'C' is,

 y = mx + b

 Slope (m) =

                  =  

                  =

 Since B'C' will pass through origin, y-intercept will be zero.

 Therefore, equation of B'C' will be,

  y =

 Options (3), (4) and (6) are the correct options.

step-by-step explanation:

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: