Given a 3D shape with coordinates A(6, 4, -2), B(5, -3, 6), C(2, 1, -5) and D(-2, 4, 7), what will be the new coordinates if the shape undergoes 3D reflection relative to XZ plane? a) A(-6, -4, -2), B(-5, -3, -6), C(-2, -1, -5), D(-2, -4, -7) b) A(6, 4, 2), B(5, 3, 6), C(2, 1, 5), D(2, 4, 7) c) A(6, 4, 2), B(-5, 3, -6), C(-2, -1, 5), D(2, 4, -7) d) A(6, -4, -2), B(5, 3, 6), C(2, -1, -5), D(-2, -4, 7)
Answer: d Explanation: The newly formed coordinates would be – A(6, -4, -2), B(5, 3, 6), C(2, -1, -5), D(-2, -4, 7) For 3D reflection relative to XZ plane – Xnew = Xold; Ynew = -Yold; Znew = Zold So, A(6, 4, -2) = A(6, -4, -2) B(5, -3, 6) = B(5, 3, 6) C(2, 1, -5) = C(2, -1, -5) D(-2, 4, 7) = D(-2, -4, 7)
