Central symmetry and rotation
Answers are for parents and teachers.
1
What is the y-coordinate of the point symmetric to N(−7; −2) about the origin?
2
2
Find the point symmetric to P(2; 4) about the centre O(−1; 1).
(−4; −2)
3
Name five centrally symmetric figures.
For example: square, rectangle, rhombus, parallelogram, circle.
4
Under a central symmetry A(1; 3) goes to B(5; 7). Find the coordinates of the centre.
(3; 5)
5
Why does central symmetry preserve distances?
The triangles AOB and A₁OB₁ are congruent by two sides and the included angle, so AB = A₁B₁.