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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 mJKM (4 x 6) o , and mMKL (7 x 12) o. Find mJKM. mJKM ________ EX 4: Use a protractor to measure the following angles. _______o _______o _______o _______o _______o _______o