Symmetry and geometric transformations

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Level:

When reflecting in a point \( S \), which of lines are mapped to the same lines?

Every line passing through the point \( S \).

Every line that is not passing through the point \( S \).

There are no lines which are mapped to the same lines in a reflection in the point \( S \).

Only two mutually perpendicular lines passing through the point \( S \).

1003161101

Level:

Given \( p \) is a line of reflection, which lines are mapped to themselves across the line \( p \)?

The line \( p \) and all lines perpendicular to \( p \) are mapped to themselves.

All lines parallel to the line \( p \) are mapped to themselves.

There are no lines which are mapped to themselves.

The line \( p \) only.

Let \( ABCD \) be a square and let \( M \) be a point, such that \( M\in AB \) and \(|AM|:|MB|=3:1 \). Which of the pictures shows the square \( A'B'C'D' \) which is the reflection of the original square \( ABCD \) reflected in the point \( M \)?

1103138703

Level:

Let \( ABCD \) be a rectangle and let \( M \) be a point, such that \( M\in BD \) and \( |BM|:|MD|=1:3 \). Which of the pictures shows the rectangle \( A'B'C'D' \) which is the reflection of the original rectangle \( ABCD \) reflected in the point \( M \)?