Plz help is the statements true or false

Explanations:

Part (a)

Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.

Put another way:  (distance from X to Y) = (distance from X' to Y)

So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.

Part (b)

As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.

Part (c)

Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'

Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.

Part (d)

This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.

Part (e)

This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.

idk lol

step-by-step explanation: