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1.4: Measure and Classify Angles

1.4: Measure and Classify Angles. Objective: Be able to classify and measure angles. Common Core Standards: A-CED-1, A-REI-3, G-CO-1, G-CO-10, G-CO-12, G-MG-3 Assessments : Define all vocab for this section Complete 1-4 Worksheet.

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1.4: Measure and Classify Angles

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  1. 1.4: Measure and Classify Angles Objective: Be able to classify and measure angles. Common Core Standards: A-CED-1, A-REI-3, G-CO-1, G-CO-10, G-CO-12, G-MG-3 Assessments: Define all vocab for this section Complete 1-4 Worksheet

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

  3. The set of all points between the sides of the angle is the interior of an angle. The exterior of an angleis the set of all points outside the angle. Angle Name R, SRT, TRS, or 1 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.

  4. The measureof an angle is usually given in degrees. Since there are 360° in a circle, one degreeis of a circle. When you use a protractor to measure angles, you are applying the following postulate.

  5. If OC corresponds with c and OD corresponds with d, mDOC = |d– c| or |c– d|. You can use the Protractor Postulate to help you classify angles by their measure. The measure of an angle is the absolute value of the difference of the real numbers that the rays correspond with on a protractor.

  6. Example 2: Measuring and Classifying Angles Find the measure of each angle. Then classify each as acute, right, or obtuse. A. WXV mWXV= WXV is B. ZXW mZXW= ZXW =

  7. Example 3: Using the Angle Addition Postulate mDEG = 115°, and mDEF = 48°. Find mFEG mDEG = mDEF + mFEG  Add. Post.

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

  9. QS bisects PQR, mPQS= (5y – 1)°, and mPQR= (8y + 12)°. Find mPQS. Check It Out! Example 4a Find the measure of each angle.

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