Question

5) Point G is rotated counter-clockwise about H and by an angle of 45°. If it's image is G Prime and segments GH, G prime H, G prime G prime are drawn which of the following is true ? A)GH is congruent to G prime HB) Gh is perpendicular to G prime HC) Gh is parallel to G prime H D) H is the midpoint of segment G prime G

Answer 1

We are given that a point is rotated counterclockwise about an angle of 45 degrees. A diagram of this is the following:

Now, since the rotation of point G to point G' won't affect the distance of segment GH, this means that

$GH=G^{\prime}H$

Rotation is a type of transformation called isometries, that is, transformations that do not change the distance.