When performing a rotation, which statement is not true? a.) rotating a figure negative degrees about a point will produce a clockwise rotation. b.) a 360° rotation will map the preimage onto itself. c.) the center of the protractor must line up with the center of rotation. d.) a 180° rotation creates perpendicular lines with the preimage.

Rotation: When you rotate an object through any angle neither it's shape, nor size, or interior angles changes. The object moves through some distance.

A.) Rotating a figure negative degrees about a point will produce a clockwise rotation.→ [ True →Suppose an object is in third quadrant ,i.e making an angle of 210° with respect to positive X axis, now if you rotate the figure along negative degrees, i.e by an angle of 270°, you will find object is rotating in clockwise direction.]

B.) A 360° rotation will map the pre image onto itself.→[True] By taking an example of segment of any length you can prove it.]

C.) The center of the protractor must line up with the center of rotation. →[False]→It lies at the end from where the object take the turn.

D.) A 180° rotation creates perpendicular lines with the preimage. →[True]

Depicted pictures for you below of all the statements.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.