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Name and classify angles. Measure and construct angles and angle bisectors.

Objectives. Name and classify angles. Measure and construct angles and angle bisectors. Vocabulary. angle right angle vertex obtuse angle interior of an angle straight angle exterior of an angle congruent angles measure angle bisector degree acute angle.

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Name and classify angles. Measure and construct angles and angle bisectors.

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  1. Objectives Name and classify angles. Measure and construct angles and angle bisectors.

  2. Vocabulary angle right angle vertex obtuse angle interior of an angle straight angle exterior of an angle congruent angles measure angle bisector degree acute angle

  3. __________– a figure formed by two rays, or sides, with a common endpoint called the __________(plural: __________). You can name an angle several ways: • by its vertex, • by a point on each ray and the vertex, or • by a number. ray vertex ray

  4. ____________________– the set of all points between the sides of the angle. ____________________– the set of all points outside the angle. Angle Name __________, __________, __________, or __________ You cannot name an angle just by its vertex if the point is the vertex of more than one angle. In this case, you must use all three points to name the angle, and the middle point is always the vertex.

  5. Example 1 Write the different ways you can name the angles in the diagram.

  6. Example 2 Find the measure of each angle. Then classify each as acute, right, or obtuse. A. WXV B. ZXW

  7. ____________________are angles that have the same measure. mABC = mDEF, so ABC  DEF. This is read as “angle ABC is congruent to angle DEF.” __________are used to show that the two angles are congruent.

  8. Example 3 mXWZ = 121° and mXWY = 59°. Find mYWZ.

  9. An _______________is a ray that divides an angle into two congruent angles. JK bisects LJM; thus LJKKJM.

  10. KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM. Example 4a

  11. QS bisects PQR, mPQS = (5y – 1)°, and mPQR = (8y + 12)°. Find mPQS. Example 4b Find the measure of each angle.

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