GH Q1 Exam Review (Ch 1-3)

Transcription

1 Name Period Date GH Q1 Exam Review (Ch 1-3) 1. If EF=6 and EG= 21, find the value of FG. The drawing is not to 6. MO bisects LMN, m LMN = 5x 23, m LMO = x Find m NMO. The diagram is not to 2. If EF=5x+ 15, FG= 53, and EG=143, find the value of x. The drawing is not to 3. If EF=2x 12, FG=3x 15, and EG= 23, find the values of x, EF, and FG. The drawing is not to 4. If m DEF=122, then what are m FEG and m HEG? The diagram is not to 5. MO bisects LMN, m LMO = 6x 22, and m NMO = 2x Solve for x and find m LMN. The diagram is not to 7. T(8, 15) is the midpoint of CD. The coordinates of D are (8, 20). What are the coordinates of C? 8. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth. 9. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit 6.4 miles.) 10. Find the perimeter of the rectangle. The drawing is not to 11. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the other two sides measure 17.8 inches. How much ribbon does Ken need? 1

2 12. Find the circumference of the circle. Leave your answer in terms of π. 15. If m EOF = 26 and m FOG = 38, then what is the measure of EOG? The diagram is not to 13. If the perimeter of a square is 72 inches, what is its area? 14. If m AOC=85, m BOC=2x+ 10, and m AOB=4x 15, find the degree measure of BOC and AOB. The diagram is not to 16. Name the Property of Equality that justifies this statement: If p = q, then p r= q r. 17. Which statement is an example of the Addition Property of Equality? a. If p = q then p s= q s. b. If p = q then p+ s= q+ s. c. If p = q then p s= q s. d. p = q 18. Transitive Property of Congruence If CD EF and EF GH, then. 19. Name the Property of Congruence that justifies this statement: If A B and B C, then A C. 20. What is the value of x? 22. Line r is parallel to line t. Find m 5. The diagram is not to 21. Find the values of x and y. 23. Find m G. The diagram is not to 2

3 24. Find the value of x. The diagram is not to scale and f Ä g. 29. Tell whether 1 and 2 are only adjacent, adjacent and form a linear pair, or not adjacent. 25. Find the values of x and y. The diagram is not to 26. Find the value of x for which p is parallel to q, if m 1=4x and m 3=112.The diagram is not to a. only adjacent b. adjacent and form a linear pair c. not adjacent 30. Tell whether 1 and 3 are only adjacent, adjacent and form a linear pair, or not adjacent. 27. Find the value of x for which l is parallel to m. The diagram is not to 28. D is between C and E. CE = 6x, CD = 4x+ 8, and DE = 27. Find CE. a. not adjacent b. only adjacent c. adjacent and form a linear pair 31. Find simplified expression representing the perimeter and area of the figure. 3

4 32. Write a justification for each step, given that EG= FH. EG = FH EG= EF+FG FH = FG + GH EF+FG= FG+GH EF=GH Given information Segment Addition Postulate Subtraction Property of Equality 33. Find m 1 in the diagram. (Hint: Draw a line parallel to the given parallel lines.) 34. Use slopes to determine whether AB and CD parallel, perpendicular, or neither. are A(3,5), B( 2,7), C(10,5), and D(6,15) 35. Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer What is the slope of a line perpendicular to the line 2x+ 9y= 8? 37. Write the slope-intercept form of the equation of the line passing through the point ( 2, 5) and perpendicular to the line y = 2 3 x Write an equation for the line passing through the point Ê Ë Á 3, 5ˆ that has a slope of Write the slope-intercept form of the equation of the line passing through the point (2, 4) and parallel to the line y = 5x+ 5. 4

5 GH Q1 Exam Review (Ch 1-3) Answer Section x= x = 10, EF = 8, FG = m FEG=58, m HEG= x = 14, m LMN= (8, 10) Ê 9. 5, 5 ˆ 32 miles Ë Á 2, feet in m in m BOC = 40 ; m AOB = Subtraction Property 17. B 18. CD GH 19. Transitive Property x = 15, y = º x = 77, y = CE = A 30. A 31. perimeter = 7x + 14; area = 3x [1] Segment Addition Postulate [2] Substitution Property of Equality 33. m 1 = neither 35. c Ä d ; congruent alternate interior angles

6 37. y = 3 2 x y = 5x y = 5x 14. 2