Central symmetry
Answers are for parents and teachers.
1
Write the image of A(−6; 3) under symmetry about the origin.
(6; −3)
2
Write the image of B(0; 4) under symmetry about the origin.
(0; −4)
3
The diagonals of a parallelogram are 10 cm and 16 cm and meet at O. The point symmetric to B about O is D and BD = 16 cm. How many cm is BO?
8
4
Among the printed capitals F, H, T, N, Z, name those that are centrally symmetric.
H, N, Z
5
Write in a sentence or two how reflection in an axis differs from central symmetry.
In axial symmetry points are paired across a line; in central symmetry they are paired through a single point, the midpoint of each pair.