1 3 MEASURING AND CONSTRUCTING ANGLES TERMS An

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 Measures 90 greater than degrees. 0 degrees and less than 90 degrees. Obtuse Angle Straight Angle Measures greater than 90 degrees and less than 180 degrees. 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