Question

The vertices of a triangle are A(2,0), B(1,-1), and C(1,1). Draw its image after a dilation with respect to the origin using a scale factor of3.

Answer 1

To dilate the triangle with vertices A(2,0), B(1,-1), and C(1,1) by a scale factor of 3, multiply all coordinates by 3, resulting in a new triangle with vertices A'(6,0), B'(3,-3), and C'(3,3).

Step-by-step explanation:

The question involves performing a dilation in geometry, specifically with a triangle whose vertices are A(2,0), B(1,-1), and C(1,1). To draw the image after a dilation with respect to the origin using a scale factor of 3, one would multiply the x and y coordinates of each vertex by 3. Applying this to each vertex, we obtain the following coordinates for the dilated triangle: A' (6,0), B' (3,-3), and C' (3,3).

Here are the steps:

1. Identify the original vertices of the triangle which are A(2,0), B(1,-1), and C(1,1).
2. Multiply each coordinate by the scale factor, which is 3 in this case.
3. Plot the new vertices on a coordinate plane. The new vertices will be A'(6,0), B'(3,-3), and C'(3,3).
4. Connect the new vertices to form the dilated triangle.