By CK-12 Foundation
CK-12’s Geometry - moment version is a transparent presentation of the necessities of geometry for the highschool pupil. themes comprise: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & region, quantity, and alterations. quantity 2 contains the final 6 chapters: Similarity, correct Triangle Trigonometry, Circles, Perimeter and region, floor sector and quantity, and inflexible variations.
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Extra info for CK-12 Geometry - Second Edition, Volume 2 of 2
Corresponding Angles Postulate 4. 5. 6. is isosceles 7. Definition of an Isosceles Triangle 8. Congruent segments are also equal 9. Theorem 7-7 10. Review Queue Answers by AA Similarity Postulate . Yes, this is a true proportion. Similarity Transformations Learning Objectives Draw a dilation of a given figure. Plot an image when given the center of dilation and scale factor. Determine if one figure is the dilation of another. Review Queue Are the two quadrilaterals similar? How do you know? What is the scale factor from to ?
For and , set up a proportion. Specific types of triangles, quadrilaterals, and polygons will always be similar. For example, because all the angles and sides are congruent, all equilateral triangles are similar. For the same reason, all squares are similar. We can take this one step further and say that all regular polygons (with the same number of sides) are similar. Example 3: is a rectangle with length 12 and width 8. is a rectangle with length 24 and width 18. Are these two rectangles similar?
To see if a set of numbers makes a triple, plug them into the Pythagorean Theorem. Example 5: Is 20, 21, 29 a Pythagorean triple? Solution: If is equal to , then the set is a triple. Therefore, 20, 21, and 29 is a Pythagorean triple. Area of an Isosceles Triangle There are many different applications of the Pythagorean Theorem. One way to use The Pythagorean Theorem is to identify the heights in isosceles triangles so you can calculate the area. The area of a triangle is , where is the base and is the height (or altitude).
CK-12 Geometry - Second Edition, Volume 2 of 2 by CK-12 Foundation