Geometric mappings

9000149305

Level: 
B
Given a translation \(T\) of a plane, find the lines which are mapped to the same line by \(T\).
All lines parallel to the translation vector are mapped into itself.
All lines perpendicular to the translation vector are mapped into itself.
There are no lines which are mapped into itself by the translation.
Every line is mapped into itself by the translation.

9000149306

Level: 
B
Given a translation of a plane, find the property of a line obtained by translating a line \(r\). The line \(r\) is neither parallel not perpendicular to the translation vector.
The resulting line is parallel to the line \(r\).
The resulting line is perpendicular to the translation vector.
The resulting line is perpendicular to the line \(r\).
The resulting line is the line \(r\). (The line \(r\) is mapped into itself.)

9000149309

Level: 
C
Consider a dilatation which maps \(A\) onto \(B\). The center is the dilatation is \(S\). Find a correct statement.
The point \(S\) is on the line through the points \(A\) and \(B\).
The points \(S\), \(A\) and \(B\) form a right triangle \(ABS\).
The distance from \(S\) to \(A\) is smaller than the distance from \(A\) to \(B\).
The points \(S\), \(A\) and \(B\) form a triangle \(ABS\) with at least two sides of equal length.