Scale factor is ratio of corresponding side lengths of similar figures. Similar figures have same shape but different sizes. Angles must be congruent and side lengths proportional
Similar means having characteristics in common or being strictly comparable. Can refer to size or position differences without shape variations
Proportion means two ratios or fractions are equal. Rope length and weight are proportional: 20m/1kg = 40m/2kg. Shapes are proportional when their relative sizes are the same. International paper sizes have consistent proportions
Expresses similarity or characteristics. Indicates affinity or preference. Describes manner or similarity. Expresses as if or in the same way
Two objects are similar if they have the same shape or can be transformed into each other. Similar shapes can be obtained by uniform scaling with translation, rotation, and reflection. All circles, squares, and equilateral triangles are similar. Ellipses, rectangles, and isosceles triangles are not all similar
'Along' indicates movement from one place to another. Shows line beside something. Functions as preposition of place showing proximity. Usually comes before nouns or noun phrases