Questions: 2. How many units has the triangle been translated right to create the dashed triangle?
Transcript text: 2. How many units has the triangle been translated right to create the dashed triangle?
Solution
How many units has the triangle been translated right to create the dashed triangle?
Find the coordinates of the vertices of the solid triangle.
The coordinates are \((2,1)\), \((8,1)\), and \((5,5)\).
Find the coordinates of the corresponding vertices of the dashed triangle.
The coordinates are \((4,5)\), \((10,5)\), and \((7,9)\).
Find the horizontal translation.
The x-coordinate of the vertex \((2,1)\) of the solid triangle translates to the x-coordinate of the vertex \((4,5)\) of the dashed triangle. The difference in x-coordinates is \(4 - 2 = 2\).
The x-coordinate of the vertex \((8,1)\) of the solid triangle translates to the x-coordinate of the vertex \((10,5)\) of the dashed triangle. The difference in x-coordinates is \(10 - 8 = 2\).
The x-coordinate of the vertex \((5,5)\) of the solid triangle translates to the x-coordinate of the vertex \((7,9)\) of the dashed triangle. The difference in x-coordinates is \(7 - 5 = 2\).
The horizontal translation is 2 units to the right.