The problem describes a translation of triangle $PQR$ to triangle $P'Q'R'$. We need to describe this translation by specifying how many squares to the left/right and up/down the triangle is translated.

GeometryTransformationsTranslationCoordinate Geometry
2025/6/14

1. Problem Description

The problem describes a translation of triangle PQRPQR to triangle PQRP'Q'R'. We need to describe this translation by specifying how many squares to the left/right and up/down the triangle is translated.

2. Solution Steps

To describe the translation, we can choose a corresponding point in the two triangles, say PP and PP'.
From PP to PP', we move 4 squares to the right and 2 squares down.
Alternatively, we can choose to analyze the horizontal and vertical shifts separately. To go from triangle PQRPQR to PQRP'Q'R', we can observe the movement of one vertex. Let's consider point P to P'. The horizontal displacement is to the right by 4 squares. The vertical displacement is down by 2 squares.
Since the problem specifies left/right and up/down, the translation is 4 squares to the right and 2 squares down.

3. Final Answer

4 square(s) to the right and 2 square(s) down.

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