By CK-12 Foundation
CK-12’s Geometry - moment variation is a transparent presentation of the necessities of geometry for the highschool pupil. issues contain: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & region, quantity, and ameliorations. quantity 2 comprises the final 6 chapters: Similarity, correct Triangle Trigonometry, Circles, Perimeter and quarter, floor zone and quantity, and inflexible differences.
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Extra info for CK-12 Geometry - Second Edition, Volume 2 of 2
The ratio of the perimeters is 80:40 or 2:1, which is the same as the scale factor. Example 5: is a dilation of . If is the center of dilation, what is the scale factor? Solution: Because is a dilation of , we know that the triangles are similar. Therefore the scale factor is the ratio of the sides. Since is smaller than the original, , the scale factor is going to be a fraction less than one, . If was the dilated image, the scale factor would have been . If the dilated image is smaller than the original, then the scale factor is .
Find . Find . Find . Find . Review Queue Answers Yes, they are congruent by SAS. by CPCTC 12 in = 1 ft, 36 in = 3 ft, 108 in = 3 yrds 2c = 1 pt, 4c = 1 qt, 16 c = 4 qt = 1 gal, 28c = 7 qt Similar Polygons Learning Objectives Recognize similar polygons. Identify corresponding angles and sides of similar polygons from a similarity statement. Calculate and apply scale factors. Review Queue Solve the proportions. In the picture, . Find . Find . Know What? A baseball diamond is a square with 90 foot sides.
Solution: Use the Triangle Proportionality Converse. If the ratios are equal, then the lines are parallel. and Because the ratios are equal, . Parallel Lines and Transversals We can extend the Triangle Proportionality Theorem to multiple parallel lines. Theorem 7-7: If three parallel lines are cut by two transversals, then they divide the transversals proportionally. Example 4: Find . Solution: The three lines are marked parallel, so you can set up a proportion. Theorem 7-7 can be expanded to any number of parallel lines with any number of transversals.