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Answered

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5. The graph below is a polygon ABCDEF. If the polygon is dilated by a scale of 2 around
the origin (0,0), what are the coordinates of E'?

A E' = (2, 0.5)
B E' = (8,2)
C E' (8,1)
D E' = (4,2)

5 The Graph Below Is A Polygon ABCDEF If The Polygon Is Dilated By A Scale Of 2 Aroundthe Origin 00 What Are The Coordinates Of E A E 2 05 B E 82 C E 81 D E 42 class=

Sagot :

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Answer:

B E' = (8,2)

Step-by-step explanation:

Dilation (Center at the Origin)

Dilation is a geometric transformation that cohesively stretches/compresses the given shape by a scale factor (k).

The distance between the origin (center) and each point of the shape on the coordinate plane either shrinks or grows if the factor is less than or greater than 1, respectively.

To find the dilated coordinate, multiply the scale factor by each component (kx, ky).

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Solving the Problem

We're told that a polygon ABCDEF is to be scaled by a factor of 2 around the origin.

This means that the center is at the origin and we multiply each coordinate points' components by 2 to identify the new shape. However, the problem asks only about point E (4, 1). So, we focus our calculations on that point.

                            (kx, ky) = ((2)4, (2)1) = (8, 2)

Thus, our answer is choice B.

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