Symmetry and geometric transformations

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Level:

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?

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Level:

A triangle \( ABC \) is translated by vector \( \overrightarrow{CA} \). Which of the following pictures shows correctly the translation \( A'B'C' \) of the triangle?

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Level:

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?

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Level:

Let a square \( ABCD \) be translated by vector \( \overrightarrow{AC} \). From the pictures below choose the one that shows correctly the translation \( A'B'C'D' \) of the square \( ABCD \).

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Level:

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 \( C \).