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By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
<h3>How to apply a translation to a point on a Cartesian plane</h3>
<em>Rigid</em> transformations are transformations applied onto <em>geometric</em> loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of <em>rigid</em> transformations, whose formula is defined by the following expression:
(1)
Where:
- P(x, y) - Original point
- P'(x, y) - Resulting point
- Translation vector
If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and , then the coordinates of points K' and M' are:
Point K'
K'(x, y) = (4, 1) + (-6, 2)
K'(x, y) = (-2, 3)
Point M'
M'(x, y) = (2, -1) + (-6, 2)
M'(x, y) = (-4, 1)
By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
To learn more on translations: brainly.com/question/17485121
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Answer:
The length of the banner is 24 inches and its width is 4 inches.
Step-by-step explanation:
Let the length of the banner be L.
Let the width of the banner be W.
The length is 6 times greater than the width. This means that:
L = 6W
The area of the banner is:
A = L * W = 6W * W =
The are of the banner is 96 square inches. This implies that:
= 96
=> = 96 / 6 = 16
W =
W = 4 inches
The length, L, will be:
L = 6 * 4 = 24 inches
The length of the banner is 24 inches and its width is 4 inches.