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2 years ago

Figure W was _ to create W’. Figure W’ was dia lates by a scale factor of _ fromThe origin to create w”

Mathematics

1 answer:

-Dominant- [34]2 years ago

3 0

Transformations

One of the rigid transformations is reflection. When a figure is reflected across some line, it maps to the very same shape but inverted as if the line was a mirror.

Right between figures W and W' the y-axis separates two identical images as if the y-axis was a mirror, thus:

Figure W was reflected over the y-axis to create figure W'

A Dilation from the origin maps an object to another such that its vertices are all multiplied by a common factor (scale factor).

For example, the upper-right vertex of W' is located at (2-2). The upper-right vertex of W'' is at (4,-4). The scale factor is 2.

The bottom-left vertex of W' is at (4,-4) and the bottom-left vertex of W'' is at (8,-8). We find the same scale factor of 2. If we tested all of the vertices, we'll obtain the same scale factor of 2, thus:

Figure W' was dilated by a scale factor of 2 from the origin to create figure W''

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A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 108 inches more than the width. Determine the di

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Answer:

The width of the carpet is 12 inches and the length of the carpet is 120 inches.

Step-by-step explanation:

$2w+2(w+108)=264$

^We can distribute first^

Distributing would result in:

$2w+2w+216=264$

Then we would combine like terms, which would result in:

$4w + 216 = 264$

Then we solve the equation.

$4w + 216 = 264 \\ \: \: \: \: \: \: \: \: \: \frac{ - 216 = - 216}{4w = 48} \\ \\ \frac{4w}{4} = \frac{48}{4} \\ w = 12$

Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."

So now we add 108 to 12 to figure out the length.

$108 + 12 = 120$

The length of the carpet is 120 inches.

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Figure W was ___ to create W’. Figure W’ was dia lates by a scale factor of ___ fromThe origin to create w”

Figure W was _ to create W’. Figure W’ was dia lates by a scale factor of _ fromThe origin to create w”