Question

A is a triangle with verticle (3,1) (1,2) (1,1) E is an enlagement factor 2 centre (3,0).

a) draw triangle A.

Answer 1

To draw triangle A, plot the vertices (3,1), (1,2), and (1,1), and connect them with straight lines. For enlargement, translate the center to the origin, apply the enlargement factor of 2 to the vertices, and translate back. Finally, connect the new enlarged coordinates to complete the drawing.

Step-by-step explanation:

The question is asking to draw a triangle with given vertices and to enlarge it by a factor of 2 centered at the point (3,0). To solve this, we will first plot the original triangle A with the vertices (3,1), (1,2), and (1,1) on a coordinate plane. Drawing a triangle involves connecting these vertices with straight lines to form the shape. Then, to perform an enlargement, we multiply the coordinates of each vertex by the enlargement factor of 2, but since the center of enlargement is (3,0), we must first translate the vertices so that (3,0) becomes the origin, multiply by the enlargement factor, and then translate back.

1. Plot the original vertices of triangle A.
2. Connect the plotted points using straight lines to form triangle A.
3. Determine the new coordinates after enlargement.
4. Draw the new, enlarged triangle.