1103162602
Level:
C
Let \( ABCD \) be a square. Find the dilated image of the square with \( S \) being the centre of dilation and scale factor \( -\frac12 \). The point \( S \) is also the middle of the square \( ABCD \) (see the picture).
Symmetry and geometric transformations
1103162603
Level:
C
Let \( ABC \) be a triangle (see the picture). Find the dilated image of the triangle with \( A \) being the centre of dilation and the scale factor \( \frac54 \).
1103162604
Level:
C
Let \( ABC\) be a triangle with the centroid \( T \) (see the picture). Find the dilated image of the triangle with \( T \) being the centre of dilation and the scale factor \( -\frac12 \).
1103162605
Level:
C
Let \(ABC\) be a triangle (see the picture). Find the dilated image of the triangle with \( O \) (the origin) being the centre of dilation and the scale factor \( 2 \).
1103162606
Level:
C
The figure below shows two semicircles \( \widehat{AB} \) and \( \widehat{DA} \). Find the dilation scale factor if you know that the semicircle \( \widehat{DA} \) is the image of the semicircle \( \widehat{AB} \) in dilation with the centre \( C \).
\( -0.5 \)
\( 0.5 \)
\( -0.25 \)
\( 0.75 \)
2110016705
Level:
C
Let \( ABCD \) be a square. Find the dilated image of the square with \( S \) being the centre of dilation and scale factor \( \frac12 \). The point \( S \) is also the middle of the square \( ABCD \) (see the picture).
2110016706
Level:
C
Let \( ABC \) be a triangle (see the picture). Find the dilated image of the triangle with \( B \) being the centre of dilation and the scale factor \( \frac32 \).
2110016707
Level:
C
Let \( ABC\) be a triangle with the centroid \( T \) (see the picture). Find the dilated image of the triangle with \( T \) being the centre of dilation and the scale factor \( \frac12 \).
2110016708
Level:
C
Let \(ABC\) be a triangle (see the picture). Find the dilated image of the triangle with \( O \) (the origin) being the centre of dilation and the scale factor \( -2 \).
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.