contestada

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. On a coordinate plane, 2 parallelogram are shown. Parallelogram F G H J has points (negative 4, 5), (negative 2, 5), (negative 1.5, 3), and (negative 3.5, 3). Parallelogram F prime G prime H prime J prime has points (negative 5, 2), (3, 2), (5, negative 6) and (negative 3, negative 6). What is the scale factor of the dilation? One-eighth One-fourth 4 8

Respuesta :

Answer:

4

Step-by-step explanation:

wassup

akposevictor

The scale factor of the dilation is: C. 4.

What is Dilation?

  • Dilation is a transformation that increases the size or reduces the size of a figure by a scale factor.
  • Scale factor = dimension of image (new image)/dimension of preimage (original image).

Thus:

Scale factor = F'G/FG

Apply the distance formula, d = √[(x2 - x1)² + (y2 - y1)²] to find FG, and F'G'.

F(-4, 5) = (x1, y1)

G(-2, 5) = (x2, y2)

FG = √[(-2 -(-4))² + (5 - 5)²]

FG = 2 units

F'(-5, 2) = (x1, y1)

G'(3, 2) = (x2, y2)

F'G' = √[(3 -(-5))² + (2 - 2)²]

F'G' = 8 units

Scale factor = 8 units/2 units = 4

Therefore, the scale factor of the dilation is: C. 4.

Learn more about dilation on:

https://brainly.com/question/10253650

Otras preguntas