By David R. Morrison, Janos Kolla Summer Research Institute on Algebraic Geometry

**Read Online or Download Algebraic Geometry Santa Cruz 1995: Summer Research Institute on Algebraic Geometry, July 9-29, 1995, University of California, Santa Cruz (Proceedings of Symposia in Pure Mathematics) (Pt. 2) PDF**

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**Additional resources for Algebraic Geometry Santa Cruz 1995: Summer Research Institute on Algebraic Geometry, July 9-29, 1995, University of California, Santa Cruz (Proceedings of Symposia in Pure Mathematics) (Pt. 2)**

**Example text**

Objectives and Examples Review Exercises • Lesson 1–5 Use geometry tools. In which figure is the middle segment longer? a b The middle segment in figure a is longer. • Lesson 1– 6 Use a four-step plan to solve problems that involve the perimeters and areas of rectangles and parallelograms. 5 inches. 5 square inches. 26. Use a straightedge to determine whether the two heavy segments are straight. 27. Use a compass to draw two circles that have two points of intersection. Find the perimeter and area of each rectangle.

Give two examples of each type of number represented in the large rectangle. Write a paragraph describing how this diagram shows the relationship among different sets of numbers. Real Numbers ? Integers ? Irrational Numbers For each situation, write a real number with ten digits to the right of the decimal point. 5. an irrational number between 1 and 2 6. a rational number greater than 10 with a 2-digit repeating pattern Example 3 Use the number line to find each measure. B C A Ϫ6 Ϫ5 Ϫ4 D Ϫ3 7.

Unless stated otherwise, betweenness and collinearity of points may be assumed if they are given in a figure. Example 1 Points A, B, and C are collinear. If AB ϭ 12, BC ϭ 48, and AC ϭ 36, determine which point is between the other two. Check to see which two measures add to equal the third. 12 ϩ 36 ϭ 48 BA ϩ AC ϭ BC Therefore, A is between B and C. Check: You can check by modeling the distances on a number line. Let 12 units ϭ 1 inch. 12 B 36 A C 48 The solution checks. Your Turn a. Points R, S, and T are collinear.