Question

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

Answer 1

When a shape is rotated, it must be rotated through a center.

The arcs from EFGH to E'F'G'H would form concentric circles

From the question, we have:

$E = (-4,8)$

$F = (-7,5)$

$G = (-4,3)$

$H= (-2,5)$

When the trapezoid is rotated by $180^o$, the new points would be gotten from the following transformation rule:

$(x,y) \to (-x,-y)$

So, the points of E'F'G'H are:

$E' = (4,-8)$

$F' = (7,-5)$

$G' = (4,-3)$

$H' =(2,-5)$

See attachment for illustration of EFGH and E'F'G'H' (the figure is not drawn to scale)

From the attached image, we can see that when the points of EFGH are connected to E'F'G'H', they form concentric circles i.e. the circles have the same center.

Hence, the true statement is: (d) They form concentric circles.

Read more about concentric circles at:

brainly.com/question/9461760