Triangle PQR is translated to triangle P'Q'R'. The problem is to describe the translation by filling in the blanks: "[number] square(s) to the left/right and [number] square(s) up/down".

GeometryTransformationsTranslationsCoordinate GeometryGeometric Transformations
2025/6/14

1. Problem Description

Triangle PQR is translated to triangle P'Q'R'. The problem is to describe the translation by filling in the blanks: "[number] square(s) to the left/right and [number] square(s) up/down".

2. Solution Steps

We need to find out how many squares the triangle PQR is translated to the left/right and up/down to get triangle P'Q'R'. Let's consider point P and point P'.
To move from P to P', we move 4 squares to the right, then 2 squares down.
However, the question specifically asks for "square(s) to the left/right and square(s) up/down". Since it moved to the *right* rather than the *left*, we'll phrase it as moving to the *right*. Since it moved *down* rather than *up*, we will phrase it as moving *down*.
However, we need to describe the translation from PQR to P'Q'R'. We moved P to P', Q to Q', and R to R'.
Looking at the grid, P' is 4 squares to the *right* of P, and 2 squares *down* from P.
Therefore, the translation is 4 squares to the *right* and 2 squares *down*. We can't say "to the left", so we'll say to the *right*, and we can't say "up", so we'll say "down".

3. Final Answer

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

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