AngliaCampus : Construction

Construct transformations

A reflection has these properties: for every straight line s there corresponds a reflection M_s. If A' is the image of A then A is the image of A'; the points of s remain in the same position. They are the fixed points of M_s; the reflection M_s preserves straight lines.
Easier Reflection problem 1 Reflection problem 2 Reflection problem 3 Reflection problem 4	Harder Reflection problem 5

A rotation can be viewed as the product of two reflections whose mirror lines intersect at the point O. O is the centre of rotation.
Easier Rotation problem 1	Harder Rotation problem 2 Rotation problem 3

A translation can be viewed as the product of two reflections whose mirror lines are parallel.
Easier Translation problem 1	Harder Translation problem 2

Given a fixed point S, and a non-zero number m, an enlargement has these properties: every point A and its image A' lie on the same line through S; each pair A and A' satisfy the relation: SA'/SA = m. S is the centre and m is the scale factor of the enlargement.
	Harder Enlargement problem 1 Enlargement problem 2 Enlargement problem 3

A spiral similarity is the product of a rotation and an enlargement with the same centre.
	Harder Similarity problem 1