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a polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is transformed using the rule (x,y) →(ax,ay). which statement must be true?

a. If a is greater than 1, the image of the polygon is congruent to the polygon.
b. If a is between 0 and 1, the image of the polygon is smaller than the polygon.
c. If a is between 0 and 1, the image of the polygon is congruent to the polygon.
d. If a is greater than 1, the image of the polygon is smaller than the polygon.

Respuesta :

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

MrRoyal

Dilation involves changing the size of a polygon.

The true statement is: b. If a is between 0 and 1, the image of the polygon is smaller than the polygon.

The dilation rule is given as:

[tex]\mathbf{(x,y) \to (ax,ay)}[/tex]

The size of the image, depends on the value of a.

  • If a is above 1, the image of the polygon will be bigger
  • If a is between 0 and 1, the image of the polygon will be smaller
  • If a is 1, the polygons will be congruent

Hence, the true statement is (b)

Read more about dilations at:

https://brainly.com/question/13176891

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