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Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following operations: X: rotation of the square by 180 degree with respect to the S-Q axis. Y: rotation of the square by 180 degree with respect to the P-R axis. Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T. Consider the following three distinct sequences of operation (which are applied in the left to right order). (1) XYZZ (2) XY (3) ZZZZ Which one of the following statements is correct as per the information provided above?

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following operations: X: rotation of the square by 180 degree with respect to the S-Q axis. Y: rotation of the square by 180 degree with respect to the P-R axis. Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T. Consider the following three distinct sequences of operation (which are applied in the left to right order). (1) XYZZ (2) XY (3) ZZZZ Which one of the following statements is correct as per the information provided above? Correct Answer The sequence of operations (1) and (3) are equivalent

1) For XYZZ

[ alt="F4 Savita Engineering 06-4-22 D2" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_06-4-22_D2.png" style="width: 247px; height: 139px;">

and ZZ

[ alt="F4 Savita Engineering 06-4-22 D3" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_06-4-22_D3.png" style="width: 111px; height: 139px;">

2) XY

[ alt="F4 Savita Engineering 06-4-22 D2" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_06-4-22_D2.png" style=" width: 247px; height: 139px;">

3) ZZZZ

[ alt="F4 Savita Engineering 06-4-22 D4" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_06-4-22_D4.png" style="width: 340px; height: 139px;">

[ alt="F4 Savita Engineering 06-4-22 D5" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_06-4-22_D5.png" style="width: 340px; height: 139px;">

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