1103138706
Level:
A
In which of the pictures is the triangle \( A'B'C' \) the image of the equilateral triangle \( ABC \) in a point reflection in the point \( S \)?
Geometric mappings
1103138705
Level:
A
In which of the pictures is the circle \( k’ \) the image of the circle \( k \) in a point reflection in the point \( S \)?
1103138704
Level:
A
In the given pictures, there are letters \( F \) shown in different positions. Choose the picture that shows a letter \( F \) and its image in a point reflection in the point \( S \).
1103138703
Level:
A
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 \( M \)?
1103138702
Level:
A
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 \( M \)?
1003138701
Level:
A
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 \( S \).
1103162505
Level:
B
The triangle \( ABC \) is translated by the vector \( \vec{u} \) (see the picture). Which of the following pictures shows correctly the image \( A'B'C' \) of the triangle \( ABC \) in the given translation?
1103162504
Level:
B
Let a triangle \( ABC \) be translated by vector \( \overrightarrow{BT} \), where \( T \) is the centroid of the triangle (see the picture). Which of the following pictures shows correctly the image \( A'B'C' \) of the triangle \( ABC \) in described?
1103162503
Level:
B
A triangle \( ABC \) is translated by vector \( \overrightarrow{CA} \). Which of the following pictures shows correctly the translation \( A'B'C' \) of the triangle?
1103162502
Level:
B
Let a rectangle \( ABCD \) be translated by vector \( \overrightarrow{SB} \), where \( S \) is the midpoint of the rectangle. Which of the following pictures shows correctly the image \( A'B'C'D' \) of the rectangle \( ABCD \) in described translation?
