By Cindy J. Boyd
Unit 1: Geometric constitution. Unit 2: Congruence. Unit three: Similarity. Unit four: Two-and Three-Eimensional size. criteria overview. 846 pages.
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Additional resources for California Geometry: Concepts, Skills, and Problem Solving
Example 4 (p. 8) For Exercises 7–9, refer to the figure. 7. How many planes are shown in the figure? B C 9. Are points A, C, D, and J coplanar? Explain. HELP For See Exercises Examples 10–15 1 16–22 2 23–30 3 31–34 4 G F H 8. Name three points that are collinear. HOMEWORK A K J D E Refer to the figure. 10. Name a line that contains point P. n P W 11. Name the plane containing lines n and m. 12. Name the intersection of lines n and m. F T m Q R S U ᐉ 13. Name a point not contained in lines ᐍ, m, or n.
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. What do you find is true of the relationship of the squares on the sides of the triangle? a. 3, 4, 5 b. 8, 15, 17 c. 6, 8, 10 6. Repeat the activity with a right triangle with shorter sides that are both 5 units long. How could you determine the number of grid squares in the larger square?
Lesson 1-4) 6. 8 6 4 2 ( y * + C (6, 4) Ϫ8 Ϫ6Ϫ4Ϫ2 O 2 4 6 8 x Ϫ2 Ϫ4 Ϫ6 Ϫ8 D (2, –8) % & ' 15. ∠KFG 16. ∠HFG 17. ∠HFK 18. ∠JFE 19. ∠HFJ 20. ∠EFK Chapter 1 Mid-Chapter Quiz 39 1-5 Main Ideas • Identify and use special pairs of angles. • Identify perpendicular lines. 0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. Angle Relationships When two lines intersect, four angles are formed. In some cities, more than two streets might intersect to form even more angles.