Question

1. draw the image of the triangle under the transformation (x,y)→(x + 3,y + 4).

Explanation:

Step1: Identify original vertices

Locate the vertices of given triangle on the grid.

Step2: Apply transformation rule

For each vertex \((x,y)\), calculate \((x + 3,y + 4)\).

Step3: Plot new vertices

Mark the new - found vertices on the grid.

Step4: Draw new triangle

Connect the new vertices to get the transformed triangle.

Answer:

To draw the image, follow these steps for each vertex of the triangle:

1. Identify the vertices of the original triangle. Let's assume the vertices of the original triangle are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).
2. Apply the transformation \((x,y)\to(x + 3,y + 4)\) to each vertex:

• The new - coordinates of the first vertex will be \((x_1+3,y_1 + 4)\).
• The new - coordinates of the second vertex will be \((x_2+3,y_2 + 4)\).
• The new - coordinates of the third vertex will be \((x_3+3,y_3 + 4)\).

1. Plot the new vertices on the same coordinate grid and connect them to form the new triangle.