By CK-12 Foundation
CK-12’s Geometry - moment variation is a transparent presentation of the necessities of geometry for the highschool scholar. subject matters comprise: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & region, quantity, and alterations. quantity 2 contains the final 6 chapters: Similarity, correct Triangle Trigonometry, Circles, Perimeter and zone, floor sector and quantity, and inflexible changes.
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Additional info for CK-12 Geometry - Second Edition, Volume 2 of 2
Explain your reasoning. Know What? One practical application of dilations is perspective drawings. These drawings use a vanishing point (the point where the road meets the horizon) to trick the eye into thinking the picture is three-dimensional. The picture to the right is a one-point perspective and is typically used to draw streets, train tracks, rivers or anything else that is linear. There are also two-point perspective drawings, which are very often used to draw a street corner or a scale drawing of a building.
Use the internet to explore fractals further. Write a paragraph about another example of a fractal in music, art or another field that interests you. Chapter 7 Review Keywords and Theorems Ratio Proportion Means Extremes Cross-Multiplication Theorem Corollary Corollary 7-1 Corollary 7-2 Corollary 7-3 Corollary 7-4 Corollary 7-5 Similar Polygons Scale Factor Theorem 7-2 AA Similarity Postulate Indirect Measurement SSS Similarity Theorem SAS Similarity Theorem Triangle Proportionality Theorem Triangle Proportionality Theorem Converse Theorem 7-7 Theorem 7-8 Transformation Rigid Transformation Non-rigid Transformation Dilation Self-Similar Fractal Review Questions Solve the following proportions.
Write down the ratios of these sides. What happens? html From #3, you should notice that the angles in the two triangles are equal. Second, when the corresponding sides are lined up, the sides are all in the same proportion, . If you were to repeat this activity, for a 3-4-5 or 12-16-20 triangle, you will notice that they are all similar. That is because, each of these triangles are multiples of 3-4-5. If we generalize what we found in this investigation, we have the SSS Similarity Theorem. SSS Similarity Theorem: If the corresponding sides of two triangles are proportional, then the two triangles are similar.