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Geometry
Notes 1-3: Measuring and Constructing Angles
Ch. 1: Foundations for Geometry
1) Angle: consists of two _______________ with the same __________________ ________________.
2) The initial point is called the _________________ and the rays are the ________________.
3) Classifying Angles: Draw and classify four types of angles. Then write each angle’s characteristics.
_______________
_______________
_______________
_______________
_______________
_______________
_______________
_______________
4) Naming Angles: There are 3 different angles (_______) below.
1) _______________ or _______________
2) _______________ or _______________
3) _______________ or _______________

You cannot name any of these angles ____ because all 3 angles have Q as their ____________.
5) The measurement of angle A is denoted (written) as _______________, and given in degrees (
).
EX 1: If ABC and DEF are both 50o, then _______________________ and ________________________.
6) Congruent (______): having the same
_______________ and _______________.
7) Interior vs. Exterior: Draw an acute angle and
label the interior and exterior of the angle.
8) Angle Addition Postulate:
__________ + __________ = __________
9) Two angles are adjacent angles if they share a common _______________ & _______________.
EX 2: Two sprinklers have a spraying angle of 120o from the same vertex. If they overlap as shown, what is
the measure of angle 2?
2  _______
10) Angle Bisector: a ____________ that divides an angle into two ____________________ angles.

CD bisects  _____ into 2  s, _____ and _____.
EX 3: KM bisects JKL. The mJKM  (4 x  6) o , and mMKL  (7 x 12) o. Find mJKM.
mJKM  ________
EX 4: Use a protractor to measure the following angles.
_______o
_______o
_______o
_______o
_______o
_______o