Step 1: Measure the distances from point P to each vertex of the triangle. One vertex of the triangle is on point P, so that vertex will remain at point P. The distance from point P to vertex A is three units. The distance from point P to vertex B is also three units. Step 2: Multiply these distance by the scale factor two. 2PA = 2(3) = 6 2PB = 2(3) = 6 Step 3: Measure six units from point P in the direction of vertex A and measure six units from point P in the direction of vertex B. The new locations of A and B are each six units from P in their corresponding directions as shown below. Figure 10.3.2: Triangle Enlarged by a Factor of Two B’ B P A A’ Example 10.3.2: Enlarge a Diamond by a Factor of Two Figure 10.3.3: Diamond to be Size-Transformed by a Factor of Two B A D C
Step 1: Measure the distances from point P to each vertex of the triangle. One vertex of the triangle is on point P, so that vertex will remain at point P. The distance from point P to vertex A is three units. The distance from point P to vertex B is also three units. Step 2: Multiply these distance by the scale factor two. 2PA = 2(3) = 6 2PB = 2(3) = 6 Step 3: Measure six units from point P in the direction of vertex A and measure six units from point P in the direction of vertex B. The new locations of A and B are each six units from P in their corresponding directions as shown below. Figure 10.3.2: Triangle Enlarged by a Factor of Two B’ B P A A’ Example 10.3.2: Enlarge a Diamond by a Factor of Two Figure 10.3.3: Diamond to be Size-Transformed by a Factor of Two B A D C
Chapter_10_GeometricSymmetryGoldenRatio.docx