Question

How do dilate triangle ABC using center P and the scale factor 3/2

Answer 1

To dilate triangle ABC using center P with a scale factor of 3/2, measure the distances from P to each vertex of ABC, multiply them by 3/2 to find the new vertices, and then connect these points to form the dilated triangle A'B'C'.

Step-by-step explanation:

How to Dilate Triangle ABC Using Center P and a Scale Factor of 3/2

To dilate triangle ABC using center P with a scale factor of 3/2, follow these steps:

1. Locate point P on the plane, which will be the center of dilation.
2. Measure the distances from point P to each vertex of triangle ABC (PA, PB, and PC).
3. Multiply these distances by the scale factor of 3/2 to get the new distances from point P to the dilated vertices (PA', PB', and PC').
4. From point P, use a straight edge and compass to locate the new points A', B', and C' at the new distances.
5. Connect the points A', B', and C' to form the dilated triangle A'B'C'.

This process will give you triangle A'B'C' that is a dilation of triangle ABC by a scale factor of 3/2 centered at point P.