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PART I – GEOMETRY OF SHAPE AND SIZE

                     Activity No. 1
                    Undefined Terms


     A. 1. T                           B.   1. line
        2. T                           segment
        3. T                                2. ray
        4. T                                3. line
        5. T                                4. plane
                                            5. ray



     C.      1. line                            6. two
             2. point                           7. three
             3. plane                           8. segment
             4. collinear                       9. ray
             5. infinite                        10. coplanar




                            Activity No. 2
                               Angles

          1. 43 º                            6. 90 º
          2. 47 º                            7. 120 º
          3. 35 º                            8. 105 º
          4. 25 º                            9. 30 º
          5. 30 º                            10. 80 º




                            Activity No. 3
                             Triangles


     I.      A.                        2                       O
                                       .                       H
             1.                                                3
             RO                                                .
R
         H
   B.

1. R

2. O

3. H
    C.

1. <R
         2
. <O

3. <H
II.       1. T                   III.       1. Right
          2. T               triangle
          3. F                              2.
          4. T               Scalene triangle
          5. T                              3.
                             Equilateral triangle




                     Activity No. 4
                       Polygon


A. 1. non-convex
   2. convex
   3. convex
   4. non-convex
   5. non-convex

B. 1. hexagon
   2. A,B,C,D,E,F,G
   3. AB,BC,CD,DE,EF,FG,GA
   4. AE and BD
   5. AB and BC
   6. <A and <B; <F and <E
   7. <A and <E; <F and <B
   8. AB and FE; AB and ED
   9. AF, AE, BE, BD
   10. Yes, the polygon is regular



                     Activity No. 5
                         Circle



A. 1. diameter                        7. minor arc
   2. chord                           8. chord
   3. radius                          9. point of
   4. secant line                     tangency
   5. tangent line                    10. major arc
   6. center
B. 1. T
     2. T
     3. T
     4. T
     5. F


  C. 1. AB                         7. FC
     2. PW                         8. WFC and
     3. N                    WCA
     4. P                          9. WB
     5. M                          10. C
     6. FWC and
FAC


                    Activity No. 6
             Perimeter and Circumference



  A. 1. 36                      B. 1. 14.44 cm.
     2. 64                         2. 92.2 in.
     3. 23                         3. 39.56 in.
     4. 46                         4. 376.8 cm
     5. 55                         5. 190.60 cm


                      Activity No. 7
                     Area of Polygon


     1. 153.86 cm
     2. 312 inches
     3. 12 inches
     4. 180 m
     5. 14 m

                    Activity No. 8
                Surface Area of Solid

     1. 24
2. 100
   3. 40.69
   4. 60

                 Activity No. 9
                Volume of Solid

A. 1. 11.56                         2. 8.39
   2. 130                           3. 113.04
   3. 267.95               liters
   4. 0.13                          4. 9.14 h
   5. 162                           5. 2700 liters
B.     1. 880
PART II – GEOMETRIC RELATIONS

                   Activity 10
            Measures of Line Segments

A. 1. 4                      B. 1. 8
   2. 2                         2. 8
   3. 4                         3. 5.5
   4. 4                         4. yes
   5. 6                         5. 25


                 Activity No. 11
                 Angle Bisector

   1. 90
   2. 120
   3. 75
   4. 90


                 Activity No. 12
                  Angle Pairs


A. 1. <POH, <HOL, <LOF, <FOP
   2. <POC & <COF; <FOR & <ROL; <LOI & <
   IOH; <HOW & <WOP
   3. <COP & <IOL; <POW & <ROL; <WHO & <
   FOR; <HOI & <COF
   4. line PL & line FH
   5. <FOH & <POL

B. 1. 60; 30
   2. 50; 40
   3. 30; 60
   4. 45; 45
   5. 55; 35

C. 1. 30; 60
   2. 36.144
   3. 33.75; 56.25
   4. 45; 45
   5. 72; 108
Activity No. 13
              Perpendicular Lines

A. 1. a. 100º
      b. 80 º
      c. 100 º
      d. 80 º
   2. <2 & <4; <1 & <3
   3. <2 & <1; <1 & <4; <4 & <3; <3 & <2
   4. <2 & <1

B. 1. a. 90 º
      b. 62 º
      c. 90 º
      d. 28 º
   2. <RPB = <APS
   3. <BPA = <APS


               Activity No. 14
    Angles Formed by Parallel Line Cut by
                 Transversal


A. 1. <8, <7, <1 & <2
   2. <4, <5, <3, & <6
   3. <5 & <3; <4 & <6
   4. <7 & <1; <8 & <2
   5. <8 & <7; <5 & <6; <4 & <3; <1 & <2
   6. <8 & <6; <7 & <5; <4 & <2; <3 & <1
   7. <7 & <6; <3 & <2; <8 & <5; <4 & <1
   8. <8 & <7; <5 & <6; <4 & <3; <1 & <2; <2 & <3;
   <6 & <7; <8 & <5; <4 & <1
   9. <8 & <7; <5 & <6; <4 & <3; <1 & <2; <2 & <3;
   <6 & <7; <8 & <5; <4 & <1
   10. <6 & <3; <5 & <4

B. a. 6         f. 6
   b. 174       g. 6
   c. 174       h. 6
   d. 174       i. 168
   e. 174       j. 12
Activity No. 15
   Relations Among the Angles & sides of a
                    Triangle

A. 1. x
   2. /
   3. x
   4. /
   5. /

B. 1. a. 115                 4. a. 40
      b. 65                     b. 115
   2. a. 55                  5. a. m<1= 50
      b. 50                     b. m<2= 0
   3. a. 115                    c. m<3 = 0
      b. 65                     d. m<3 = 130

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C:\Documents And Settings\Microsoft\My Documents-3 21 10 Answer Key

  • 1. PART I – GEOMETRY OF SHAPE AND SIZE Activity No. 1 Undefined Terms A. 1. T B. 1. line 2. T segment 3. T 2. ray 4. T 3. line 5. T 4. plane 5. ray C. 1. line 6. two 2. point 7. three 3. plane 8. segment 4. collinear 9. ray 5. infinite 10. coplanar Activity No. 2 Angles 1. 43 º 6. 90 º 2. 47 º 7. 120 º 3. 35 º 8. 105 º 4. 25 º 9. 30 º 5. 30 º 10. 80 º Activity No. 3 Triangles I. A. 2 O . H 1. 3 RO .
  • 2. R H B. 1. R 2. O 3. H C. 1. <R 2 . <O 3. <H
  • 3. II. 1. T III. 1. Right 2. T triangle 3. F 2. 4. T Scalene triangle 5. T 3. Equilateral triangle Activity No. 4 Polygon A. 1. non-convex 2. convex 3. convex 4. non-convex 5. non-convex B. 1. hexagon 2. A,B,C,D,E,F,G 3. AB,BC,CD,DE,EF,FG,GA 4. AE and BD 5. AB and BC 6. <A and <B; <F and <E 7. <A and <E; <F and <B 8. AB and FE; AB and ED 9. AF, AE, BE, BD 10. Yes, the polygon is regular Activity No. 5 Circle A. 1. diameter 7. minor arc 2. chord 8. chord 3. radius 9. point of 4. secant line tangency 5. tangent line 10. major arc 6. center
  • 4. B. 1. T 2. T 3. T 4. T 5. F C. 1. AB 7. FC 2. PW 8. WFC and 3. N WCA 4. P 9. WB 5. M 10. C 6. FWC and FAC Activity No. 6 Perimeter and Circumference A. 1. 36 B. 1. 14.44 cm. 2. 64 2. 92.2 in. 3. 23 3. 39.56 in. 4. 46 4. 376.8 cm 5. 55 5. 190.60 cm Activity No. 7 Area of Polygon 1. 153.86 cm 2. 312 inches 3. 12 inches 4. 180 m 5. 14 m Activity No. 8 Surface Area of Solid 1. 24
  • 5. 2. 100 3. 40.69 4. 60 Activity No. 9 Volume of Solid A. 1. 11.56 2. 8.39 2. 130 3. 113.04 3. 267.95 liters 4. 0.13 4. 9.14 h 5. 162 5. 2700 liters B. 1. 880
  • 6. PART II – GEOMETRIC RELATIONS Activity 10 Measures of Line Segments A. 1. 4 B. 1. 8 2. 2 2. 8 3. 4 3. 5.5 4. 4 4. yes 5. 6 5. 25 Activity No. 11 Angle Bisector 1. 90 2. 120 3. 75 4. 90 Activity No. 12 Angle Pairs A. 1. <POH, <HOL, <LOF, <FOP 2. <POC & <COF; <FOR & <ROL; <LOI & < IOH; <HOW & <WOP 3. <COP & <IOL; <POW & <ROL; <WHO & < FOR; <HOI & <COF 4. line PL & line FH 5. <FOH & <POL B. 1. 60; 30 2. 50; 40 3. 30; 60 4. 45; 45 5. 55; 35 C. 1. 30; 60 2. 36.144 3. 33.75; 56.25 4. 45; 45 5. 72; 108
  • 7. Activity No. 13 Perpendicular Lines A. 1. a. 100º b. 80 º c. 100 º d. 80 º 2. <2 & <4; <1 & <3 3. <2 & <1; <1 & <4; <4 & <3; <3 & <2 4. <2 & <1 B. 1. a. 90 º b. 62 º c. 90 º d. 28 º 2. <RPB = <APS 3. <BPA = <APS Activity No. 14 Angles Formed by Parallel Line Cut by Transversal A. 1. <8, <7, <1 & <2 2. <4, <5, <3, & <6 3. <5 & <3; <4 & <6 4. <7 & <1; <8 & <2 5. <8 & <7; <5 & <6; <4 & <3; <1 & <2 6. <8 & <6; <7 & <5; <4 & <2; <3 & <1 7. <7 & <6; <3 & <2; <8 & <5; <4 & <1 8. <8 & <7; <5 & <6; <4 & <3; <1 & <2; <2 & <3; <6 & <7; <8 & <5; <4 & <1 9. <8 & <7; <5 & <6; <4 & <3; <1 & <2; <2 & <3; <6 & <7; <8 & <5; <4 & <1 10. <6 & <3; <5 & <4 B. a. 6 f. 6 b. 174 g. 6 c. 174 h. 6 d. 174 i. 168 e. 174 j. 12
  • 8. Activity No. 15 Relations Among the Angles & sides of a Triangle A. 1. x 2. / 3. x 4. / 5. / B. 1. a. 115 4. a. 40 b. 65 b. 115 2. a. 55 5. a. m<1= 50 b. 50 b. m<2= 0 3. a. 115 c. m<3 = 0 b. 65 d. m<3 = 130