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

The plate is rotated 270° about the origin in the counterclockwise direction. Which of the following is formed when the arcs of rotation are drawn for each point as it is rotated?

They form parallel segments.
They form perpendicular segments.
They form concentric circles.
They form congruent segments.

They form concentric circles.

Step-by-step explanation:

The plate is rotated 270° about the origin in the counterclockwise direction.

We will check the options:

A) They form parallel segments.

Wrong ⇒ Because they form parallel arcs.

B) They form perpendicular segments.

Wrong ⇒ Because they form parallel arcs.

C) They form concentric circles.

True ⇒ Because all of the arcs have the center which is the origin

D) They form congruent segments.

Wrong ⇒ Because the distance between the origin and each vertex is not equal.

the answer is the third option

Step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.