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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 .

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1-3: Measuring and constructing angles

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  1. 1-3: Measuring and constructing angles

  2. 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(<#).

  3. 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.

  4. 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.

  5. Types of angles

  6. 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.

  7. Angle addition postulate If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

  8. Examples

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