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.

Respuesta :

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.

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