Question

spiral review

1. complete each figure so it is congruent to the figure shown.
2. the coordinates of the vertices of the preimage of a triangle are

$(2,1),(3,4)$, and $(4,1)$. the coordinates of the vertices of the image
are $(3,3),(4,6)$, and $(5,3)$. how far and in what direction was the
triangle translated?

Explanation:

Step1: Analyze the translation of \(x\) - coordinate

For the point \((2,1)\) and its image \((3,3)\), the change in \(x\) - coordinate: \(3 - 2=1\).
For the point \((3,4)\) and its image \((4,6)\), the change in \(x\) - coordinate: \(4 - 3 = 1\).
For the point \((4,1)\) and its image \((5,3)\), the change in \(x\) - coordinate: \(5 - 4=1\).

Step2: Analyze the translation of \(y\) - coordinate

For the point \((2,1)\) and its image \((3,3)\), the change in \(y\) - coordinate: \(3 - 1 = 2\).
For the point \((3,4)\) and its image \((4,6)\), the change in \(y\) - coordinate: \(6 - 4=2\).
For the point \((4,1)\) and its image \((5,3)\), the change in \(y\) - coordinate: \(3 - 1=2\).

Answer:

The triangle was translated \(1\) unit to the right and \(2\) units up.