sparklyseal
contestada

desperate need of help plssss help :(....please

Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.

Which statement is true?


Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.

Respuesta :

tibu77072

Answer:

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.

Step-by-step explanation:

Sorry im late homie

  Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.

Transformation of a figure by dilation:

  •  If a figure with the given vertex (x, y) is dilated with a scale factor    

          'k', image point will follow the rule,

          (x, y) → (kx, ky)

  •   If k > 1, image will be larger than preimage.

           If k < 1, image will be smaller than preimage.

Rule for the dilation given in the question,

(x, y) → (0.2x, 0.2y)

Here, k = 0.2 which is less than 1.

     Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.

                        Option (4) will be the correct option.

Learn more about the transformation here,

https://brainly.com/question/13166355?referrer=searchResults

Otras preguntas