Transcript 1-3: Measuring and constructing angles

1-3: MEASURING AND
CONSTRUCTING ANGLES
TERMS
• An angle is a figure formed by two rays, or
sides, with a common endpoint called the
vertex.
• You can name an angle several ways: by its
vertex (<capital letter), by a point on each
ray and the vertex (< 3 capital letters), or by
a number(<#).
TERMS CONTINUED
• The set of all points between the sides of the angle is
the interior of an angle.
• The exterior of an angle is the set of all points
outside the angle.
exterior
interior
• The measure of an angle is usually given in degrees.
PROTRACTOR POSTULATE
Given line AB and a point O on line AB, all rays that
can be drawn from O can be put into a one-to-one
correspondence with the real numbers from 0 to 180.
TYPES OF ANGLES
Acute Angle Right Angle
Obtuse
Angle
Measures
Measures 90 Measures
greater than degrees.
greater than
0 degrees
90 degrees
and less
and less
than 90
than 180
degrees.
degrees.
Straight
Angle
Formed by 2
opposite
rays and
measures
180
degrees.
TERMS
• Congruent angles are angles that have the same
measure. Arc marks are used to show that the 2
angles are congruent.
• An angle bisector is a ray that divides an angle into
2 congruent angles.
ANGLE ADDITION POSTULATE
If S is in the interior of <PQR, then
m<PQS + m<SQR = m<PQR
EXAMPLES