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Geometry Assignment #8 Undefined Terms and Definitions 1 – 4: True or False? 1. A point has no length, width, or thickness. HJJG HJG 3. AB and BA name the same line. 2. A line is limited in length. 4. A point indicates place or position. 5. Three non-collinear points determine a (1) plane (2) line (3) segment (4) midpoint 6. Which of the following statements is true? (1) Any three points determine a line. (2) Collinear points are always coplanar. (3) Skew lines lie in the same plane. (4) Any two lines determine a plane. 7. What is the coordinate of the midpoint of DE if the coordinate of D is – 4 and the coordinate of E is 9? 8. P, Q, and R are points on the number line. P is – 10, Q is 6, and R is 8. a) Does PQ + QR = PR? b) Is Q the midpoint of PR? If not, what is the coordinate of the midpoint? 9 – 12: State two conclusions that can be drawn from the given data. 9. T is the midpoint of AC . 11. C is the midpoint of BD . 10. MN bisects RS at N. 12. LM bisects ST at P. R1. Solve for x: 2(x + 3) + 6x = 7x R2. Solve for x: 3(x + 1) + 2x = x + 31 R3. Factor: 4y 2 + 11y − 3 R4. Simplify: a2 + ( a + 3 )( a − 2 ) + 12 R5. Solve for x: x 2 = 2 ( x + 12 ) R6. If the perimeter of a square is 12x, find its area in terms of x. R7. Tom plans to make a strawberry shortcake to take to a party. The recipe calls for a 10 inch diameter round pan. Tom only has an 8 inch square pan, a 9 inch square pan, and a 10 inch square pan. Which pan comes closest in area to the one that the recipe suggests? R8. If p∨ ~ q is true and q is true, then p is _________. Island Trees Math Department 1. 2. 3. 4. 5. 6. 7. 8. True False True True 1 2 3 a) Yes b) no, – 1 9. explain 10. explain 11. explain 12. explain R1. R2. R3. R4. R5. R6. R7. R8. x=–6 x=7 (y + 3)(4y – 1) 2a2 + a + 6 x = {– 4, 6} 9x 2 9 inch True Island Trees Math Department