Question

You are given that ZA is rotated 90° counterclockwise about X to form ZA'. What statements are TRUE about the rotation?

a) AX = A'X; m_AXA' = 90°
b) The mZA is preserved because a rotation is a rigid transformation.
c) AX + A'X; m_AXA' = m_A
d) The mZA is not preserved because a rotation is a non-rigid transformation.

Answer 1

The statements true about the rotation are: AX = A'X, m_AXA' = 90°, and The mZA is preserved because a rotation is a rigid transformation.

Step-by-step explanation:

The correct statements about the rotation are:

AX = A'X: This is true because a 90° counterclockwise rotation about the X-axis does not change the X-coordinate.

m_AXA' = 90°: This is true because a 90° counterclockwise rotation takes ZA to ZA', forming a right angle between them.

The mZA is preserved because a rotation is a rigid transformation. This is true because a rotation does not change the shape or size of an object, only its orientation.

Therefore, options (a) and (b) are true about the rotation.