By Ray C. Jurgensen
An excelent booklet for studying geometry.
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Additional resources for Geometry
Sample text
AB + BC = AC, then 5 is between A and C. mLAOC = 180, then LAOC is a straight angle. LAOC is a straight angle, then m/LAOC = 180. Write each biconditional as two conditionals that are converses of each other. 9. Points are collinear 10. Points lie in if and only one plane if they and only if if all lie in one line. they are coplanar. Provide a counterexample to show that each statement is false. You may use words or a diagram. Til. If < ab 13. If point < 0, then a G G on AB, then is 2 12. If n 0.
Equidistant from S and 3. Equidistant from U U U and T 5« Exs. 1-3 Classify each statement as true or false. PQ Y and 4. Plane and 6. Points J, L, 7. Draw intersect in point L. N K, L, and 5. Points 7, Q are collinear. a vertical plane horizontal line / are coplanar. Z intersecting a in a point T. Exs. 4-6 Algebra Review: Linear Equations Find the value of the variable 5 = z = c + 4. 7 - 7. 3jc = 15 10. y = 2 -2fc = 1. 13. 5. + c = 13 15 - z - 8. Ix 2. 13 8 11. la 6 16. 42 = 6k 12 = - 19. 12 + 60 = = 5 25.
4. = 6 6x = 12 Ix = 12 x = ¥ 3x h 1. Given equation 2. Multiplication Property of Equality 3. Addition Property of Equality 4. x = 6 — \x we can use the properties of algebra to conclude, or deduce, that x = *r Many proofs in geometry follow this same pattern. We use certain given Example 1 information along with the properties of algebra and accepted statements, such show that two-column form, with statements on the left and a reason for each statement on the right. In the following examples, congruent segments are marked alike and congruent angles are marked alike.