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Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform:

Trapezoid EFGH with vertices E at negative 4 comma 8, F at negative 7 comma 5, G at negative 4 comma 3, and H at negative 2 comma 5.

The plate is rotated 360° about the origin in the clockwise direction. Which of the following is formed when the arcs of rotation are drawn for each point as it is rotated?

Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform Trapezoid EFGH with vertices E at negative class=

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The option that is formed when the arcs of rotation are drawn for each point as it is rotated is that it forms concentric circles.

What is the circles about?

Note that from the questions, the coordinates of the vertices of the trapezoid are;

E = (-4, 8)

F = (-7, 5)

G = (-4, 3)

H = (-2, 5)

Then the distances from the origin, O, to the vertices are known to be;

OE = √((-4)² + 8²)

= √(80)

= 4·√5

OF = √((-7)² + 5²)

= √(74)

OG = √((-4)² + 3²)

= √(25)

= 5

OH = √((-2)² + 5²)

= √(29)

Since it rotated 360° that is one circle rotation origin, note therefore that each of its point will act as the radius of a circle with center seen at the origin and therefore, this makes it to form concentric circles.

Therefore, The option that is formed when the arcs of rotation are drawn for each point as it is rotated is that it forms concentric circles.

Learn more about circles  from

https://brainly.com/question/1445128

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