Question

ii. for each problem, create an image using the given direction. (2 points each) 11-12. translate the shape 6 units right 13-14. reflect the shape across y - axis

Explanation:

Step1: Translate the first - triangle

For a translation 6 units to the right, we add 6 to the x - coordinates of each vertex of the triangle. Let the vertices of the first triangle be \((x_1,y_1)\), \((x_2,y_2)\), \((x_3,y_3)\). The new vertices will be \((x_1 + 6,y_1)\), \((x_2+6,y_2)\), \((x_3 + 6,y_3)\).

Step2: Reflect the second - triangle

For a reflection across the y - axis, if a vertex of the second triangle has coordinates \((x,y)\), the new coordinates of the reflected vertex will be \((-x,y)\). We apply this transformation to each vertex of the second triangle.

Since we are unable to actually create an image in this text - based format, the steps above describe how to perform the geometric transformations.

Answer:

For 11 - 12: Add 6 to the x - coordinates of each vertex of the first triangle. For 13 - 14: Change the sign of the x - coordinates of each vertex of the second triangle.