Answered

Rectangles QRSP and UVST are congruent. Rectangle QRSP can be rotated 90 degrees clockwise onto rectangle UVST. what point is the center of rotation? explain why. Please help I will mark you brainliest!

Rectangles QRSP and UVST are congruent Rectangle QRSP can be rotated 90 degrees clockwise onto rectangle UVST what point is the center of rotation explain why P class=


Answer :

sqdancefan

Answer:

  C. S

Step-by-step explanation:

You want the center of rotation when figure QRSP is rotated 90° CW to become UVST.

Center of rotation

The center of rotation is the point of coincidence of the perpendicular bisectors of the segments between a preimage point and the corresponding image point. It is also the only point on the plane that is invariant with the rotation.

The rectangle names tell us the rotation maps the points as follows:

  • Q ⇒ U
  • R ⇒ V
  • S ⇒ S . . . . . . an invariant point
  • P ⇒ T

The fact that point S does not move tells us that it is the center of rotation. As a check, we can see if the perpendicular bisectors of QU, RV and PT intersect at point S. (They do.)

Point S is the center of rotation.

__

Additional comment

Unfortunately, the image attached to the problem statement distorts the lines and angles. Hence, it cannot be used to find the precise location of the center of rotation. (In fact, the "rectangles" shown are only conceptual rectangles, not actual congruent rectangles.)

The perpendicular bisector of QU seems to pass through S, as it must if S is the center of rotation.

<95141404393>

View image sqdancefan

Other Questions