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proportions are equal things like say 10 hot dogs = 10 hamburgers. same for simalar figures except with shapes or figures.
proportions are used in scale factors; scale factors ARE proportions
All congruent figures are similar figures, and have identical sizes.
Any two corresponding sides in two similar figures have a common ratio called the scale factor. Since the figures are similar, the ratios of the lengths of corresponding sides of the figures are equal. 1. Match a side of both figures, 2. write the proportions 3. substitute the values 4. Write the cross product 5. Divide both sides by a common factor 6. simplify 7. Convert improper fraction into mixed number
Are congruent figures always similar? Yes.
proportions are equal things like say 10 hot dogs = 10 hamburgers. same for simalar figures except with shapes or figures.
Number over x is equal to number over number; indirect measurement
proportions are used in scale factors; scale factors ARE proportions
Congruent figures are always similar. However, similar figures are only sometimes congruent.
All congruent figures are similar figures, and have identical sizes.
Any two corresponding sides in two similar figures have a common ratio called the scale factor. Since the figures are similar, the ratios of the lengths of corresponding sides of the figures are equal. 1. Match a side of both figures, 2. write the proportions 3. substitute the values 4. Write the cross product 5. Divide both sides by a common factor 6. simplify 7. Convert improper fraction into mixed number
proportions are used in scale factors; scale factors ARE proportions
Similar figures are geometrical figures, which have the same shape but not the same size
No not all rectangles are similar because the proportions are different.
Are congruent figures always similar? Yes.
Book I. The fundamentals of geometry: theories of triangles, parallels, and area. Book II. Geometric algebra. Book III. Theory of circles. Book IV. Constructions for inscribed and circumscribed figures. Book V. Theory of abstract proportions. Book VI. Similar figures and proportions in geometry. Book VII. Fundamentals of number theory. Book VIII. Continued proportions in number theory. Book IX. Number theory. Book X. Classification of incommensurables. Book XI. Solid geometry. Book XII.Measurement of figures. Book XIII. Regular solids.
Book I. The fundamentals of geometry: theories of triangles, parallels, and area. Book II. Geometric algebra. Book III. Theory of circles. Book IV. Constructions for inscribed and circumscribed figures. Book V. Theory of abstract proportions. Book VI. Similar figures and proportions in geometry. Book VII. Fundamentals of number theory. Book VIII. Continued proportions in number theory. Book IX. Number theory. Book X. Classification of incommensurables. Book XI. Solid geometry. Book XII.Measurement of figures. Book XIII. Regular solids.