Handwritten Text Recognition for manuscripts and early printed texts
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 = _________