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Objective : Measure and classify angles. Add angle measures

Do now : Find the length. 10 15. 25. A B C Find AC. D E F Find DE. Objective : Measure and classify angles. Add angle measures. Homework : Chapter Summary and Review, textbook p. 43-45 #13-39 Chapter 1 Test on Wednesday.

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Objective : Measure and classify angles. Add angle measures

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  1. Do now: Find the length 10 15 25 A B C Find AC. D E F Find DE. Objective: Measure and classify angles. Add angle measures Homework: Chapter Summary and Review, textbook p. 43-45 #13-39 Chapter 1 Test on Wednesday

  2. Postulate 6: ANGLE Addition Postulate Words Symbols • If P is the interior of LRST, then the measure of LRST is the sum of the measures of LRSP and LPST. • If P is the interior of LRST, then mLRSP + mLPST = mLRST. R S P T

  3. FOLLOW UP • Compare and contrast the Angle Addition Postulate with the Segment Addition Postulate in Lesson 1.5. • How are they both alike? • They both allow you to add the measure of geometric figures. • How are they different? • One adds segment lengths. The other adds angle measures.

  4. Example 4 Find the measure of LPTM. Add angle measures N P M T 30o 40o

  5. Solution • mLPTM = MLPTN + MLNTM (Angle Addition Postulate) • mLPTM = 30o + 40o (Substitute angle measures.) • mLPTM = 70o (Add angle measures.

  6. Check Point Solutions • LRST, LTSR, or LS • LHMK, LKMN, LHMN • LGJC, LCJF, LGJF • Acute • Straight • Obtuse • 90o • 130o • 75o

  7. 1.6 Practice A Worksheet • Vertex: F; Side FG and FE • Vertex L; Side LK and LM • Vertex X; Side XW and XY • L0 and LTOS • LB and LABC • LR and LQRS • 27o • 90o • 110o • Right • Acute • Straight • Obtuse • mLACB = 125o • mLQTS = 160o • mLEFG = 110o • mLWZX = 70o • mLLNM = 35o • mLADG = 80o • Right • Obtuse • Acute

  8. With a partner • Textbook p. 38 and 39 #15-29 EVEN

  9. Closing • Are the segments shown in the coordinate plane at the right congruent? • Hint: For horizontal coordinates subtract the x coordinates (using absolute value). Then, for the vertical coordinates, subtract the y coordinates (take the absolute value). • Check, + or – for understanding M(1, 2) L(-2, 2) J(2, 0) K(2, -2)

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