Skills Practice Skills Practice for Lesson 9.1

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1 Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of each item the find at a dig on a 1 foot 1 foot coordinate grid. Calculate the distance between each pair of objects on the given coordinate grid. Eplain how ou found our answer. 1. What is the distance between the spindle and the potter shard? 010 Carnegie Learning, Inc. The objects have the same -coordinate, so find the difference between their -coordinates spindle potter shard 5 3 The spindle is 3 feet from the potter shard Chapter l Skills Practice 1

2 . What is the distance between the coins and the spindle? 7 5 spindle coins What is the distance between the beads and the spindle? 7 5 spindle 3 1 beads Carnegie Learning, Inc. Chapter l Skills Practice

3 Name Date. What is the distance between the coins and the potter shard? coins 1 potter shard What is the distance between the coins and the beads? 7 5 coins 010 Carnegie Learning, Inc. 3 1 beads Chapter l Skills Practice 3

4 . What is the distance between the potter shard and the beads? potter shard beads Calculate the distance between each pair of points. Round our answer to the nearest tenth if necessar. Show all our work. 7. (3, ) and (, 7) 1 3, 1,, 7 d ( 3 ) (7 ) () (3) The distance between the points is approimatel.7 units.. (, ) and (, ) 010 Carnegie Learning, Inc. Chapter l Skills Practice

5 Name Date. (1, 3) and (, ) 10. (3, 5) and (7, ) 11. (, ) and (3, 7) 010 Carnegie Learning, Inc. Chapter l Skills Practice 5

6 1. (5, ) and (0, ) 13. (7, ) and (, ) 1. (5, ) and (1, 7) 010 Carnegie Learning, Inc. Chapter l Skills Practice

7 Name Date 15. (0, ) and (5, ) 1. (, 7) and (, 5) 010 Carnegie Learning, Inc. Use the Distance Formula to determine the value of. Round our answer to the nearest tenth if necessar. Show all our work. 17. The distance between (1, ) and (, 5) is 5 units. 1 1, 1,, 5, d 5 5 ( 1 ) (5 ) 5 ( 1) (5 ) 5 ( 1) (3) 5 ( 1) 1 ( 1) 1 ( 1) or 3 Chapter l Skills Practice 7

8 1. The distance between (, 1) and (, 7) is 10 units. 1. The distance between (, ) and (, 1) is units. 010 Carnegie Learning, Inc. Chapter l Skills Practice

9 Name Date 0. The distance between (, ) and (7, ) is 7 units. 1. The distance between (, ) and (, ) is units. 010 Carnegie Learning, Inc. Chapter l Skills Practice

10 . The distance between (, 3) and (, 5) is 1 units. Use the Distance Formula to determine the value of. Round our answer to the nearest tenth if necessar. Show all our work. 3. The distance between ( 1, ) and (5, ) is 10 units. 1 1, 1, 5,, d (5 ( 1)) ( ) 100 (5 1) ( ) 100 ( ) ( ) ( ) ( ) 1 or 010 Carnegie Learning, Inc. 70 Chapter l Skills Practice

11 Name Date. The distance between (0, 3) and (, ) is units. 5. The distance between (10, ) and (, ) is 13 units. 010 Carnegie Learning, Inc. Chapter l Skills Practice 71

12 . The distance between ( 1, ) and (, 7) is 0 units. 7. The distance between (, ) and (5, ) is units. 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

13 Name Date. The distance between (, ) and ( 3, ) is 10 units. 010 Carnegie Learning, Inc. Chapter l Skills Practice 73

14 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

15 Skills Practice Skills Practice for Lesson. Name Date Treasure Hunt The Midpoint Formula Vocabular Eplain how each set of terms are related b identifing their similarities and differences. 1. midpoint and mean. Midpoint Formula and Distance Formula 010 Carnegie Learning, Inc. Chapter l Skills Practice 75

16 Problem Set Divers are mapping the area where a ship sank on a coordinate grid. Determine the midpoint between each pair of landmarks and plot the midpoint on the grid. 1. Kerr spots the ship s anchor halfwa between the lighthouse and the ledge. What are the coordinates of the anchor? 1 0, 1 1, 0, ledge anchor rocks m ( 0 0, 1 7 ) m ( 0, ) m (0, ) 3 1 lighthouse reef Erik thinks he will find gold bars halfwa between the lighthouse and the reef. What are the coordinates of the gold bars? ledge rocks 010 Carnegie Learning, Inc. 1 lighthouse reef Chapter l Skills Practice

17 Name Date 3. Ilona suspects that there is a chest of gold doubloons at the midpoint between the ledge and the rocks. At what coordinates does she think the should search for the chest? 7 ledge rocks lighthouse reef Rashid finds one of the ship s cannons halfwa between the rocks and the reef. What are the coordinates of the cannon? 7 ledge rocks 010 Carnegie Learning, Inc lighthouse reef Chapter l Skills Practice 77

18 5. The divers agree that the ship s figurehead is located at the midpoint between the lighthouse and the rocks. What are the coordinates of the figurehead? 7 5 ledge rocks 3 1 lighthouse reef The divers decide to start their net dive halfwa between the ledge and the reef. At what coordinates will the start their net dive? 7 ledge rocks lighthouse reef Carnegie Learning, Inc. 7 Chapter l Skills Practice

19 Name Date Determine the midpoint of each line segment that has the given points as its endpoints. Then graph the given points and the midpoint. 7. (, ) and (, ). (, 0) and (, ) , 1,, m (, ) m (, ) m (, 3) 010 Carnegie Learning, Inc. Chapter l Skills Practice 7

20 0 Chapter l Skills Practice 010 Carnegie Learning, Inc.. (, 3) and (5, ) 10. (7, 7) and (1, 3)

21 Name Date 11. (0, 3) and (, 7) 1. (10, ) and (, 5) Determine the midpoint of each line segment that has the given points as its endpoints. Show all our work. 13. (, 3) and (, ) 1. ( 7, ) and ( 3, ) 010 Carnegie Learning, Inc. 1, 1 3,, m ( ) (, 3 ) m ( 0, 1 ) m (0, ) 15. (, 5) and (10, 7) 1. ( 10, ) and (, ) Chapter l Skills Practice 1

22 17. (7, ) and (, 3) 1. ( 1, ) and (10, 5) 1. (0, 0) and (, 7) 0. ( 5, ) and (, ) 1. (5, ) and (, 5). ( 10, ) and (, 3) 010 Carnegie Learning, Inc. Chapter l Skills Practice

23 Skills Practice Skills Practice for Lesson.3 Name Date Parking Lot Design Parallel and Perpendicular Lines in the Coordinate Plane Vocabular Write the term from the bo that best completes each statement. slope point-slope form slope-intercept form perpendicular reciprocal negative reciprocal horizontal line vertical line 1. A has an equation in the form a, where a is an real number.. When lines or line segments intersect at right angles, the lines or line segments are. 3. When the product of two numbers is 1, each number is the of the other.. The of the equation of a line that passes through ( 1, 1 ) and has slope m is 1 m( 1 ). 5. The of a line is the ratio of the rise to the run. 010 Carnegie Learning, Inc.. When the product of two numbers is 1, each number is the of the other. 7. A has an equation in the form b, where b is an real number.. The of the equation of a line that has slope m and -intercept b is m b. Chapter l Skills Practice 3

24 Problem Set Determine whether the lines are parallel, perpendicular, or neither. Eplain our answer. 1. line l: line m: Parallel. The slope of line l is, which is equal to the slope of line m, so the lines are parallel.. line p: 3 5 line q: line r: 5 1 line s: 1 5. line l: line m: 010 Carnegie Learning, Inc. Chapter l Skills Practice

25 Name Date 5. line p: line q:. line r: line s: 3 1 Determine whether the lines shown on each graph are parallel, perpendicular, or neither. Eplain our answer (0, ) p (, ) 010 Carnegie Learning, Inc (, 0) (, ) q 10 Perpendicular. The slope of line p is 3 and the slope of line q is 3. Because 3 ( 3 ) 1, the lines are perpendicular. Chapter l Skills Practice 5

26 . 10 (1, 10) s r (, 10) (3, 0) 5 (, 0) (7, ) 7 t (10, ) u (1, 0) (, 0) Carnegie Learning, Inc. Chapter l Skills Practice

27 Name Date (, ) l 7 5 (10, ) m 3 (0, 3) 1 0 (, 0) (, 10) (0, ) Carnegie Learning, Inc s t (3, ) (, 1) Chapter l Skills Practice 7

28 1. m (, ) 7 (, 7) 5 3 (0, 5) (, 3) 1 n Determine an equation for each parallel line described. Write our answer in both point-slope form and slope-intercept form. 13. What is the equation of a line parallel to that passes through (1, )? 5 Point-slope form: ( ) ( 1) 5 Slope-intercept form: What is the equation of a line parallel to 5 3 that passes through (3, 1)? 010 Carnegie Learning, Inc. Chapter l Skills Practice

29 Name Date 15. What is the equation of a line parallel to 7 that passes through (5, )? 1. What is the equation of a line parallel to 1 that passes through (, 1)? 17. What is the equation of a line parallel to 1 that passes through (, )? Carnegie Learning, Inc. Chapter l Skills Practice

30 1. What is the equation of a line parallel to 7 that passes through (, )? Determine an equation for each perpendicular line described. Write our answer in both point-slope form and slope-intercept form. 1. What is the equation of a line perpendicular to that passes through (5, )? The slope of the new line must be 1. Point-slope form: ( ) 1 ( 5) Slope-intercept form: What is the equation of a line perpendicular to 3 that passes through ( 1, )? 010 Carnegie Learning, Inc. 0 Chapter l Skills Practice

31 Name Date 1. What is the equation of a line perpendicular to 1 that passes 5 through (, )?. What is the equation of a line perpendicular to 3 1 that passes through (1, 3)? 3. What is the equation of a line perpendicular to 5 that passes through (, 3)? 010 Carnegie Learning, Inc. Chapter l Skills Practice 1

32 . What is the equation of a line perpendicular to 5 1 that passes through ( 1, )? Determine the equation of a vertical line that passes through the given point. 5. (, 1). (3, 15) 7. (, 7). ( 11, ). ( 5, 10) 30. (0, ) Determine the equation of a horizontal line that passes through the given point. 31. (, 7) 3. (, 5) (, 3) 3. (, ) 35. ( 7, ) 3. (, ) 010 Carnegie Learning, Inc. Chapter l Skills Practice

33 Name Date Calculate the distance from the given point to the given line. 37. Point: (0, ); Line: f() 3 Since the slope of f is, the slope of the perpendicular segment is 1. m b 1 (0) b b The equation of the line containing the perpendicular segment is 1. Calculate the point of intersection of the segment and the line f( ) (.). The point of intersection is (.,.). 010 Carnegie Learning, Inc. Calculate the distance. d (0. ) (. ) d (. ) (1. ) d d The distance from the point (0, ) to the line f( ) 3 is approimatel 3.13 units. Chapter l Skills Practice 3

34 3. Point: ( 1, 3); Line: f() Carnegie Learning, Inc. Chapter l Skills Practice

35 Name Date 3. Point: (, 5); Line: f() Carnegie Learning, Inc. Chapter l Skills Practice 5

36 0. Point: ( 1, ); Line: f() Carnegie Learning, Inc. Chapter l Skills Practice

37 Name Date 1. Point: (3, 1); Line: f() Carnegie Learning, Inc. Chapter l Skills Practice 7

38 . Point: (, ); Line: f() Carnegie Learning, Inc. Chapter l Skills Practice

39 Skills Practice Skills Practice for Lesson. Name Date Triangles in the Coordinate Plane Midsegment of a Triangle Vocabular Identif an instance of each term in the figure shown. Eplain our reasoning. A(0, ) D(, ) B(, 0) E(, ) C(0, ) 1. inscribed triangle 010 Carnegie Learning, Inc.. midsegment of a triangle 3. Triangle Midsegment Theorem Chapter l Skills Practice

40 Problem Set Use slopes to classif each inscribed triangle. Show all our work. 1. Slope of AB : m 0 because the segment is horizontal. 3 Slope of AC : m 1 A( 30, 0) B(30, 0) 3 C( 1, ) Slope of BC : m The slopes of AC and 0 1 ( 30) BC are negative reciprocals of each other. The sides are perpendicular. Triangle ABC is a right triangle.. B(0, 7) A( 7, 0) C(0, 7) 1 A(1, ) C( 15, 0) B(15, 0) Carnegie Learning, Inc Chapter l Skills Practice

41 Name Date. 1 A(0, 0) B(1, 1) C(0, 0) 5. B(0, ) C(, 0) A(, 0) Carnegie Learning, Inc A(1, ) C( 15, 0) B(15, 0) Chapter l Skills Practice 701

42 Use the diagram to determine the midpoint of each side of the inscribed triangle N M L 3 5 Midpoint of MN ( 5) (, Midpoint of LM ( ) 0 (, ( 3) Midpoint of LN ( 5) (, 3 0 ) ( 5 5 ) ( 1 ) (, 0 ) (0, 0) 3, ) 3, ). R Q P 010 Carnegie Learning, Inc. 70 Chapter l Skills Practice

43 Name Date. D F E 10. G I 010 Carnegie Learning, Inc. H Chapter l Skills Practice 703

44 11. R 0 T S 1. E G 0 F 010 Carnegie Learning, Inc. 70 Chapter l Skills Practice

45 Name Date Given the midpoint of the hpotenuse of an inscribed triangle, calculate the distance from the midpoint to each verte. 13. The midpoint of EF is point G. E (0,0) G F (, ) H I (, ) 3 D EG: 0 ( ) units FG: Because G is the midpoint of GD: 0 units EF, FG EG units. 1. The midpoint of GH is point M. G 010 Carnegie Learning, Inc. I (, ) N (, )L M (0, 0) H Chapter l Skills Practice 705

46 15. The midpoint of BC is point D. E A (, ) 3 R F(1, ) B D(0, 0) C 3 S 1. The midpoint of RS is point X. Q Y(, ) R Z(, ) S X(0, 0) 010 Carnegie Learning, Inc. 70 Chapter l Skills Practice

47 Name Date 17. The midpoint of ST is W. T V( 1, ) R 0 W(0, 0) U(, ) S 1. The midpoint of EF is X. 010 Carnegie Learning, Inc. E W( 5, 5) 0 X(0, 0) Y(5, 5) F G Chapter l Skills Practice 707

48 Given each diagram, compare the measures described. Simplif our answers, but do not evaluate an radicals. 1. Triangle LMN has midpoints O(0, 0), P(, 3), and Q(0, 3). Compare the length of OP to the length of LM. P N O Q M L OP ( 0 ) ( 3 0 ) ( ) ( 3) LM (10 ( ) ) (0 ( ) ) LM is twice as long as OP. 010 Carnegie Learning, Inc. 70 Chapter l Skills Practice

49 Name Date 0. Triangle LMN has midpoints P(0, 0), Q(, ), and R(, ). Compare the length of QP to the length of LN. L M (, ) 3 (, ) Q R P 1 (0, 0) 3 N Carnegie Learning, Inc. Chapter l Skills Practice 70

50 1. Triangle ABC has midpoints D(0, 0), E(, ), and F(, ). Compare the slope of DF to the slope of AC. 1 A E 3 D C F 1 B. Triangle PQR has midpoints S(, 1), T(, 3), and U(0, 0). Compare the slope of UT to the slope of QP. R 1 3 T U P 1 Q S 010 Carnegie Learning, Inc. 710 Chapter l Skills Practice

51 Name Date 3. Triangle RST has midpoints Q( 1, 3), N(, 3), and M(0, 0). Compare the length of MQ to the length of ST. S R Q 0 M N T. Triangle EFG has midpoints J ( 5 5, of EF to the length of HI. ), I ( 5 5, ), and H(0, 0). Compare the length 010 Carnegie Learning, Inc. E H 0 J F G I Chapter l Skills Practice 711

52 Use the diagram and given information to write two statements that can be justified using the Triangle Midsegment Theorem. 5. B. R D E V W A C T S Given: ABC is a triangle DE D is the midpoint of AB E is the midpoint of BC AC, DE 1 AC Given: RST is a triangle V is the midpoint of RT W is the midpoint of RS 7. M Y. X N X P Z T Y U Given: MNP is a triangle X is the midpoint of MP Y is the midpoint of MN. M N P Q Given: XYZ is a triangle T is the midpoint of YZ U is the midpoint of XY 30. F E J H G 010 Carnegie Learning, Inc. O Given: MNO is a triangle P is the midpoint of MO Q is the midpoint of NO Given: EFG is a triangle H is the midpoint of EF J is the midpoint of EG 71 Chapter l Skills Practice

53 Name Date The midpoints of the sides of a triangle are given. Use the midpoints and the Triangle Midsegment Theorem to determine the coordinates of the vertices of the triangle. Draw the triangle and its midsegments and label all vertices. Show all of our work. 31. In triangle ABC, the midpoint of AB is X(, 1), the midpoint of BC is Y(, 1), and the midpoint of AC is Z(0, ). The slope of XY is 0, so draw a line through point Z with a slope of 0. The slope of XZ is 5, so draw a line through point Y with a slope of 5. The slope of YZ is 5, so draw a line through point X with a slope of 5. The three lines intersected to form ABC. The coordinates of the vertices of ABC are A(, ), B(0, ), and C(, ). A(, ) B(0, ) X(, 1) Y(, 1) 0 Z(0, ) C(, ) 3. In triangle PQR, the midpoint of PQ is W(, 1), the midpoint of QR is X(1, 3), and the midpoint of PR is Y(1, ). 010 Carnegie Learning, Inc. 0 Chapter l Skills Practice 713

54 33. In triangle EFG, the midpoint of EF is J ( 5, 3 ) the midpoint of EG is H ( 1, 3 )., the midpoint of FG is K ( 1, ), and 0 3. In triangle HIJ, the midpoint of HI is R( 1, ), the midpoint of IJ is S( 1, 3), and the midpoint of HJ is Q(, 3) Carnegie Learning, Inc. 71 Chapter l Skills Practice

55 Name Date 35. In triangle KLM, the midpoint of KL is X ( 5, 3 the midpoint of KM is Z(1, 3). ), the midpoint of LM is Y ( 0, 5 ), and 0 3. In triangle TUV, the midpoint of TU is B(3,3), the midpoint of UV is C(, ), and the midpoint of TV is A( 1, 3). 010 Carnegie Learning, Inc. 0 Chapter l Skills Practice 715

56 010 Carnegie Learning, Inc. 71 Chapter l Skills Practice

57 Skills Practice Skills Practice for Lesson.5 Name Date What s the Point? Points of Concurrenc Vocabular Describe similarities and differences between each pair of terms. 1. concurrent and point of concurrenc. incenter and orthocenter 010 Carnegie Learning, Inc. 3. centroid and circumcenter. altitude and median Chapter l Skills Practice 717

58 Problem Set Draw the incenter of each triangle Draw the circumcenter of each triangle Carnegie Learning, Inc. 71 Chapter l Skills Practice

59 Name Date Draw the centroid of each triangle. 010 Carnegie Learning, Inc Chapter l Skills Practice 71

60 Draw the orthocenter of each triangle Carnegie Learning, Inc. 70 Chapter l Skills Practice

61 Name Date Answer the questions about points of concurrenc. Draw an eample to illustrate our answer. 33. For which tpe of triangle are the incenter, circumcenter, centroid, and orthocenter the same point? equilateral triangles 3. For which tpe of triangle are the orthocenter and circumcenter outside of the triangle? 010 Carnegie Learning, Inc. 35. For which tpe of triangle are the circumcenter and orthocenter on the triangle? Chapter l Skills Practice 71

62 3. For which tpe of triangle are the incenter, circumcenter, centroid, and orthocenter all inside the triangle? 37. For what tpe(s) of triangle(s) do the centroid, circumcenter, and orthocenter all lie on a straight line? 3. For what tpe of triangle is the orthocenter a verte of the triangle? 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

63 Name Date Given the coordinates of the vertices of a triangle, classif the triangle using algebra. 3. A( 5, 5), B(5, 5), C(0, 5) segment AB segment AC segment BC d [5 ( 5) ] (5 5 ) d [0 ( 5)] ( 5 5 ) d (0 5 ) ( 5 5 ) d 10 0 d 5 ( 10) d ( 5) ( 10) d 100 d 15 d 15 d 10 d 11.1 d 11.1 The lengths of two of the segments are equal, so the triangle is isosceles. 0. R( 3, 1), S(1, ), T(, ) 1. F(, 5), G(1, ), H(5, ) 010 Carnegie Learning, Inc. Chapter l Skills Practice 73

64 . M(5, 1), N(3, 5), P( 1, 3) 3. K(, 1), L(, 3), M( 1, 5) 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

65 Name Date. E( 5, 7), F(3, ), G(, 1) 010 Carnegie Learning, Inc. Chapter l Skills Practice 75

66 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

67 Skills Practice Skills Practice for Lesson. Name Date Planning a Subdivision Quadrilaterals in a Coordinate Plane Vocabular Draw a diagram to illustrate each term. Eplain our diagram. 1. midsegment of a trapezoid. Trapezoid Midsegment Theorem 010 Carnegie Learning, Inc. Chapter l Skills Practice 77

68 Problem Set Determine whether an of the sides of each figure are congruent. If so, identif them B(, 1) 10 A(3, ) D(, 3) C(1, ) AB: ( 3) (1 ) BC: (1 ) ( 1) 3 ( ) CD: (1 ) ( 3 ) DA: ( 3 ) (3 ) 3 ( ) Segments AB, BC, CD, and DA are all congruent. 010 Carnegie Learning, Inc. 7 Chapter l Skills Practice

69 Name Date. 1 1 E(, 13) 1 10 H(, 7) F(10, 7) G(, 1) Carnegie Learning, Inc. Chapter l Skills Practice 7

70 A(1, 11) 10 D(11, ) B(15, ) C(13, ) Carnegie Learning, Inc. 730 Chapter l Skills Practice

71 Name Date E(, ) F(7, 10) G(10, ) H(, 1) Carnegie Learning, Inc. Chapter l Skills Practice 731

72 M(, 1) 1 10 P(, ) N(1, 10) O(10, ) Carnegie Learning, Inc. 73 Chapter l Skills Practice

73 Name Date E(1, 1) 1 10 H(, ) F(1, 10) G(, ) Carnegie Learning, Inc. Chapter l Skills Practice 733

74 Determine whether an sides of the figure are perpendicular or parallel. If so, identif them B(3, ) A(7, 10) D(10, 7) C(, ) Slope of AB : Slope of BC : 3 1 Slope of CD : Slope of DA : Segments 10 7 AB and 3 CD are parallel. 010 Carnegie Learning, Inc. 73 Chapter l Skills Practice

75 Name Date E(5, 1) F(10, 15) G(13, 1) 10 H(10, 7) Carnegie Learning, Inc. Chapter l Skills Practice 735

76 B(11, 1) 10 A(5, ) C(15, ) D(, 1) Carnegie Learning, Inc. 73 Chapter l Skills Practice

77 Name Date E(1, 7) H(, 11) G(10, ) F(5, ) Carnegie Learning, Inc. Chapter l Skills Practice 737

78 A(, 1) 10 D(, ) B(10, ) C(, 0) Carnegie Learning, Inc. 73 Chapter l Skills Practice

79 Name Date H(, 1) 1 10 E(, 1) F(10, ) G(, ) Carnegie Learning, Inc. Chapter l Skills Practice 73

80 Classif the quadrilateral. Eplain how ou found our answer A(1, 1) 10 B(5, ) D(13, 7) C(, 3) Quadrilateral ABCD is a parallelogram. Slope of AB : Slope of BC : 3 5 Slope of CD : Slope of DA : Segments AB and CD are parallel and segments BC and DA are parallel, so quadrilateral ABCD is a parallelogram because it has two pairs of parallel sides. However, none of the lines are perpendicular so it is not a rectangle. Also, not all of the sides are congruent, so it is not a rhombus: AB: (1 5 ) (1 ) BC: (5 ) ( 3 ) Carnegie Learning, Inc. 70 Chapter l Skills Practice

81 Name Date E(10, 1) 10 F(, 10) H(13, ) G(, ) Carnegie Learning, Inc. Chapter l Skills Practice 71

82 15. 1 A(, 15) 1 1 D(, 11) 10 C(, ) B(13, ) Carnegie Learning, Inc. 7 Chapter l Skills Practice

83 Name Date E(5, 1) H(1, 11) F(, 5) G(11, ) Carnegie Learning, Inc. Chapter l Skills Practice 73

84 Plot the points on the coordinate plane shown. Connect the points in order to form a parallelogram. Calculate the area of the parallelogram. 17. A(, ), B(, ), C(, ), D(, ) A D B C 0 The length of the base CD is d ( ) ( ) ( ) units. The height is the length of the vertical segment from AB to CD, or units. The area of the parallelogram is given b A bh () 3. The area is 3 square units. 1. R(3, 1), S(, 3), T(, 7), U(3, ) Carnegie Learning, Inc. 7 Chapter l Skills Practice

85 Name Date 1. K(, ), L(, 5), M(5, ), N( 1, 1) Carnegie Learning, Inc. Chapter l Skills Practice 75

86 0. E(0, 5), F(5, 3), G(0, 1), H( 5, 3) Carnegie Learning, Inc. 7 Chapter l Skills Practice

87 Name Date Connect the midpoints of the adjacent sides of the square. Classif the geometric figure that is formed square Carnegie Learning, Inc. Chapter l Skills Practice 77

88 Draw the midsegment of each trapezoid Carnegie Learning, Inc. 7 Chapter l Skills Practice

89 Name Date Use the diagram and given information to write three statements that can be justified using the Trapezoid Midsegment Theorem.. E B C 30. R F V S A D U W T Given: ABCD is a trapezoid EF AD, E is the midpoint of AB F is the midpoint of CD EF BC, EF 1 (AD BC) Given: RSTU is a trapezoid V is the midpoint of RS W is the midpoint of TU 31. K L P Q N M 3. W T X U Y Z 010 Carnegie Learning, Inc. Given: KLMN is a trapezoid P is the midpoint of KN Q is the midpoint of LM Given: WXYZ is a trapezoid T is the midpoint of WZ U is the midpoint of XY Chapter l Skills Practice 7

90 33. F K G 3. P M S Q N I L H Given: FGHI is a trapezoid K is the midpoint of FG L is the midpoint of HI Given: PQRS is a trapezoid R M is the midpoint of PS N is the midpoint of QR 010 Carnegie Learning, Inc. 750 Chapter l Skills Practice