Motion, translation and symmetry about a line
Answers are for parents and teachers.
1
Under translation along (−1; 4), what is the new y-coordinate of C(6; −2)?
2
2
Find the point symmetric to D(−3; −7) about the Ox axis.
(−3; 7)
3
Which of an isosceles trapezoid, a square and a circle have a finite number of axes of symmetry?
The isosceles trapezoid (1) and the square (4); the circle has infinitely many.
4
A translation takes (2; 5) to (−1; 1). Where does (0; 0) go?
(−3; −4)
5
Why does reflection preserve the size of an angle but change its orientation?
Distances are preserved so triangles stay congruent, but left-right order is swapped as in a mirror.