Geometric mappings

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Level:

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.

How many points of symmetry there exist for a rhombus? A rhombus -- opposite sides are parallel and all sides have equal length. (A point is a point of symmetry of the rhombus if the reflection through this point maps the rhombus into itself.)

one

none

two

four

9000149301

Level:

Which of the following is true for a reflection through a line?

It is a congruent mapping (preserves shapes and dimensions).

It is a similar mapping (preserves shapes, may change dimensions and position).

It is an identity mapping (objects are mapped to itself).

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