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The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation. $G(-2,-2),\ H(-2,\ 6),\ J(2,\ 6)$ ; $k=0.25$ Keyboard Instructions Initial graph state The horizontal axis goes from -6.4 to 4.4 with ticks spaced every 1 unit(s). The vertical axis goes from -4.4 to 6.4 with ticks spaced every 1 unit(s). Created graph shapes Polygon with coordinates: (-2, -2), (-2, 6), (2, 6), (-2, -2). Question 2 response - correct The dilation is a reduction

User Trey Keown
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1 Answer

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1. A graph of triangle GHJ and its image after a dilation by a scale factor of 0.25 centered at the origin (0, 0) is shown below.

2. Yes, the dilation is a reduction because the image of triangle GHJ is smaller.

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image (triangle GHJ) by applying a scale factor of 0.25 that is centered at the origin in order to produce the coordinates of its image as follows:

Ordered pair G (-2, -2) → Ordered pair G' (-2 × 0.25, -2 × 0.25) = Ordered pair G' (-0.5, -0.5).

Ordered pair H (-2, 6) → Ordered pair H' (-2 × 0.25, 6 × 0.25) = Ordered pair H' (-0.5, 1.5).

Ordered pair J (2, 6) → Ordered pair J' (2 × 0.25, 6 × 0.25) = Ordered pair J' (0.5, 1.5).

In concluson, we can logically deduce that the dilation is a reduction because the size of the pre-image is larger than the image.

Complete Question:

The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation. G(-2,-2), H(-2, 6), J(2, 6) ; k=0.25

The vertices of a figure are given. Draw the figure and its image after a dilation-example-1
User Dhimiter
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