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NAME: _______________________                                              PERIOD:________
DATE: ________________________
PPF 401-1
                                                     PPF401
                                                   Skill Sheet 1

   CRS SKILL                    LEVEL                                        DESCRIPTION
                               Level 1                   Exhibit some knowledge of the angles associated
                               PPF 301                   with parallel lines
                      Level 2 Focus in Isolation         Find the measure of an angle using properties of
                               PPF 401                   parallel lines
    PPF 401
                       Level 3 Focus in Context          Find the measure of an angle using properties of
                               PPF 401                   parallel lines in context
                        Level 4 Extension Skills         Use several angle properties to find an unknown
                                PPF 501                  angle measure

LEVEL 1 – REVIEW SKILLS

   1. L1 – PPF 301
      There are four types of angles. Use the definitions given to draw a picture of each angle type.

      Acute Angle               Right Angle                  Obtuse Angle             Straight Angle
  An angle measuring        An angle measuring            An angle measuring        An angle measuring
     less than 90º              exactly 90º              more than 90º but less        exactly 180º
                                                               than 180º




   2. L1 – PPF 301
      a) Name a pair of parallel lines.


       b) Name the line that intersects the parallel lines.


       c) Name two acute angles.


       d) Name two obtuse angles.
3. L1 – PPF 301
      a) Is 1 acute or obtuse?


       b) Name three other acute angles.


       c) Is     2 acute or obtuse?


       d) Name three other obtuse angles.


       e)      1 and   2 are what type of angles: Complementary or Supplementary (CIRLCE ONE)



LEVEL 2 – FOCUS SKILL IN ISOLATION – PPF 401
Use the following terms and the diagram to the right to answer questions 4-10.

VERTICAL – angles across on the same line that are equal
LINEAR PAIR – two adjacent angles that form a straight angle
ALTERNATE INTERIOR – opposite sides of transversal and inside parallel lines
ALTERNATE EXTERIOR - opposite sides of transversal and outside parallel lines
SAME SIDE INTERIOR – same side of transversal and inside parallel lines
SAME SIDE EXTERIOR - same side of transversal and outside parallel lines
CORRESPONDING – angles in the same position

   4. L2 – PPF 401
      a) Is a acute or obtuse?

       b) Is    b acute or obtuse?

       c)      a and   b are called ______________.

       d) These two angles are: congruent or supplementary. (CIRCLE ONE)



   5. L2 – PPF 401
      a) Is b acute or obtuse?

       b) Is    c acute or obtuse?

       c)      b and   c are called ______________.

       d) These two angles are: congruent or supplementary. (CIRCLE ONE)
6. L2 – PPF 401
   a) Is d acute or obtuse?

   b) Is    e acute or obtuse?

   c)      d and   e are called ______________.

   d) These two angles are: congruent or supplementary. (CIRCLE ONE)


7. L2 – PPF 401
   a) Is d acute or obtuse?

   b) Is    e acute or obtuse?

   c)      d and   e are called ______________.

   d) These two angles are: congruent or supplementary. (CIRCLE ONE)


8. L2 – PPF 401
   a) Is b acute or obtuse?

   b) Is    g acute or obtuse?

   c)      b and   g are called ______________.

   d) These two angles are: congruent or supplementary. (CIRCLE ONE)


9. L2 – PPF 401
   a) Is a acute or obtuse?

   b) Is    e acute or obtuse?

   c)      a and   e are called ______________.

   d) These two angles are: congruent or supplementary. (CIRCLE ONE)

10. L2 – PPF 401
    a) Is c acute or obtuse?

   b) Is    e acute or obtuse?

   c)      c and   e are called ______________.

   d) These two angles are: congruent or supplementary. (CIRCLE ONE)
11. L2 – PPF 401
       a) Is ABC acute or obtuse?

      b) Is    BFE acute or obtuse?

      c)      ABC or    BFE are called ____________.

      d) m BFE = __________


   12. L2 – PPF 401
       a) Is DBF acute or obtuse?

      b) Is    BFG acute or obtuse?

      c)      DBF or    BFG are called ____________.

      d) m BFG = __________


   13. L3 – PPF 401
       Given that only lines a and b are parallel, find the missing angle measures.

                                                                 1 _______        5   _______

                                                                 2   _______      6   _______

                                                                 3 _______        7   _______

                                                                 4   _______     8    _______


LEVEL 3 - FOCUS IN CONTEXT – PPF 401

   14. L3 – PPF 401
       Use the diagram to the right and given    h 4x 5Þ and         g 2x 5Þ, answer the questions.
       a. Find x.




      b. Find m h .


      c. Find m g .
15. L3 – PPF 401
       Use the picture to the right to find the given angle measurements.




      a. m ABC = _________                b. m EFH = _________

   16. L3 – PPF 401
       Angle A and Angle B are supplementary angles. The measure of Angle A is (2x+1)˚ and the measure
       of Angle B is (3x+4)˚. Find x, m A , and m B . (Hint: Draw a diagram.)
       Justification:
                                                                                  x = _________

                                                                                  m A = _________

                                                                                  m B = _________


LEVEL 4 - EXTENSION SKILLS– PPF 401

   17. L4 – PPF 401
       Find the measure of each angle below.

      a. m KPL = _________

      b. m JPO = _________

      c. m OPN = _________

      d. m NPM = _________


   18. L4 – PPF 401
       Given that lines l and m are parallel, find the unknown angles measures.

      a. m a = _________

      b. m b = _________

      c. m c = _________

      d. m d = _________

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Ppf401 skill sheet1

  • 1. NAME: _______________________ PERIOD:________ DATE: ________________________ PPF 401-1 PPF401 Skill Sheet 1 CRS SKILL LEVEL DESCRIPTION Level 1 Exhibit some knowledge of the angles associated PPF 301 with parallel lines Level 2 Focus in Isolation Find the measure of an angle using properties of PPF 401 parallel lines PPF 401 Level 3 Focus in Context Find the measure of an angle using properties of PPF 401 parallel lines in context Level 4 Extension Skills Use several angle properties to find an unknown PPF 501 angle measure LEVEL 1 – REVIEW SKILLS 1. L1 – PPF 301 There are four types of angles. Use the definitions given to draw a picture of each angle type. Acute Angle Right Angle Obtuse Angle Straight Angle An angle measuring An angle measuring An angle measuring An angle measuring less than 90º exactly 90º more than 90º but less exactly 180º than 180º 2. L1 – PPF 301 a) Name a pair of parallel lines. b) Name the line that intersects the parallel lines. c) Name two acute angles. d) Name two obtuse angles.
  • 2. 3. L1 – PPF 301 a) Is 1 acute or obtuse? b) Name three other acute angles. c) Is 2 acute or obtuse? d) Name three other obtuse angles. e) 1 and 2 are what type of angles: Complementary or Supplementary (CIRLCE ONE) LEVEL 2 – FOCUS SKILL IN ISOLATION – PPF 401 Use the following terms and the diagram to the right to answer questions 4-10. VERTICAL – angles across on the same line that are equal LINEAR PAIR – two adjacent angles that form a straight angle ALTERNATE INTERIOR – opposite sides of transversal and inside parallel lines ALTERNATE EXTERIOR - opposite sides of transversal and outside parallel lines SAME SIDE INTERIOR – same side of transversal and inside parallel lines SAME SIDE EXTERIOR - same side of transversal and outside parallel lines CORRESPONDING – angles in the same position 4. L2 – PPF 401 a) Is a acute or obtuse? b) Is b acute or obtuse? c) a and b are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE) 5. L2 – PPF 401 a) Is b acute or obtuse? b) Is c acute or obtuse? c) b and c are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE)
  • 3. 6. L2 – PPF 401 a) Is d acute or obtuse? b) Is e acute or obtuse? c) d and e are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE) 7. L2 – PPF 401 a) Is d acute or obtuse? b) Is e acute or obtuse? c) d and e are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE) 8. L2 – PPF 401 a) Is b acute or obtuse? b) Is g acute or obtuse? c) b and g are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE) 9. L2 – PPF 401 a) Is a acute or obtuse? b) Is e acute or obtuse? c) a and e are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE) 10. L2 – PPF 401 a) Is c acute or obtuse? b) Is e acute or obtuse? c) c and e are called ______________. d) These two angles are: congruent or supplementary. (CIRCLE ONE)
  • 4. 11. L2 – PPF 401 a) Is ABC acute or obtuse? b) Is BFE acute or obtuse? c) ABC or BFE are called ____________. d) m BFE = __________ 12. L2 – PPF 401 a) Is DBF acute or obtuse? b) Is BFG acute or obtuse? c) DBF or BFG are called ____________. d) m BFG = __________ 13. L3 – PPF 401 Given that only lines a and b are parallel, find the missing angle measures. 1 _______ 5 _______ 2 _______ 6 _______ 3 _______ 7 _______ 4 _______ 8 _______ LEVEL 3 - FOCUS IN CONTEXT – PPF 401 14. L3 – PPF 401 Use the diagram to the right and given h 4x 5Þ and g 2x 5Þ, answer the questions. a. Find x. b. Find m h . c. Find m g .
  • 5. 15. L3 – PPF 401 Use the picture to the right to find the given angle measurements. a. m ABC = _________ b. m EFH = _________ 16. L3 – PPF 401 Angle A and Angle B are supplementary angles. The measure of Angle A is (2x+1)˚ and the measure of Angle B is (3x+4)˚. Find x, m A , and m B . (Hint: Draw a diagram.) Justification: x = _________ m A = _________ m B = _________ LEVEL 4 - EXTENSION SKILLS– PPF 401 17. L4 – PPF 401 Find the measure of each angle below. a. m KPL = _________ b. m JPO = _________ c. m OPN = _________ d. m NPM = _________ 18. L4 – PPF 401 Given that lines l and m are parallel, find the unknown angles measures. a. m a = _________ b. m b = _________ c. m c = _________ d. m d = _________