# California Geometry: Concepts, Skills, and Problem Solving by Cindy J. Boyd

By Cindy J. Boyd

Unit 1: Geometric constitution. Unit 2: Congruence. Unit three: Similarity. Unit four: Two-and Three-Eimensional dimension. criteria evaluate. 846 pages.

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_ in. 5 6 _ in. 10 56. 0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. (Key) Describing What You See Figures play an important role in understanding geometric concepts. It is helpful to know what words and phrases can be used to describe figures. Likewise, it is important to know how to read a geometric description and be able to draw the figure it describes. The figures and descriptions below help you visualize and write about points, lines, and planes.

C 13 x 13 B 5x5 • Place the squares so that a side of the square matches up with a side of the right triangle. A C 12 x 12 ANALYZE THE RESULTS 1. Determine the number of grid squares in each square you drew. 2. How do the numbers of grid squares relate? 3. If AB = c, BC = a, and AC = b, write an expression to describe each of the squares. 4. Compare this expression with what you know about the Pythagorean Theorem. 5. MAKE A CONJECTURE Repeat the activity for triangles with each of the side measures listed below.

Y B (2x, 2x) M (7, 8) A(4, 6) x O HOMEWORK HELP For See Exercises Examples 11–16 1 17–28 2 29–34 3 35–42 4 43–45 5 46–49 6 Use the number line to find each measure. 11. DE 12. CF 13. AB 14. AC 15. AF 16. BE A BC D E F –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 Use the Pythagorean Theorem to find the distance between each pair of points. 18. C(-10, 2), D(-7, 6) 17. A(0, 0), B(8, 6) 19. E(-2, -1), F(3, 11) 20. G(-2, -6), H(6, 9) 21. 22. y y J (Ϫ3, 4) M (4, 0) O x O K (2, Ϫ4) x L (Ϫ2, Ϫ3) Use the Distance Formula to find the distance between each pair of points.

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