1.4 angle measures ink.notebook. August 29, Page 41. Page 40 Page Angle Measures. Page 43. Page 42. Standards. 1.
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1 1.4 angle measures ink.notebook 39 Page 41 Page 40 Page ngle Measures Page Page Lesson Objectives Standards Lesson Notes 1.4 ngle Measure Press the tabs to view details. 1
2 1.4 angle measures ink.notebook Standards Lesson Objectives Lesson Notes Lesson Objectives G.CO.1 fter this lesson, you should be able to successfully name, measure and classify angles. Standards Lesson Notes Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.MG.1 Use geometric shapes, their measures, and their properties to describe objects. Press the tabs to view details. Press the tabs to view details. Ray: The ray (written as ) consists of the endpoints and all points on that lie on the same side of as. endpoint endpoint If point C lines on line between and, then and are OPPOSITE RYS. 2
3 1.4 angle measures ink.notebook Y X W V Z ngles n consists of two noncollinear rays with the same endpoint. The rays are the of the angle. The endpoint is the of the angle. The angle at the left has sides and The angle can be named 1 C,, or. is the vertex of the angle. 3
4 Example 2: Name the three angles in the diagram. ngles can be classified as CUTE, RIGHT, OTUSE, and STRIGHT. C D cute angle Right angle Obtuse angle Straight angle < m < m = < m < m = Use the diagram to find the measure of the indicated angle. Then classify the angle. 1. m WSR 2. m TSW 3. m RST 4. m VST 4
5 1.4 angle measures ink.notebook M N P R ngles that have the same measure are. ray that divides an angle into two congruent angles is called an. In the figure, is the angle bisector of Û. Point N lies in the interior of ÛMPR and Û Û. 1. Name all the angles that have R as a vertex. 2. Name the sides of Û1 5
6 Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree. 3. D, 4. DC, 5. EC, D E C 4 3 D 1 2 C 6. Name the vertex of Name the sides of DC. 8. Write another name for DC. 6
7 1.4 angle measures ink.notebook M L P N 9. Identify all pairs of congruent angles in the diagram. 10. If m P = 120, what is m N? 11. If mûmpn = 2x + 14 and mûnpr = x + 34, find x and find mûnpr. M N P R 7
8 1.4 angle measures ink.notebook 12. bisects ÛXWZ, and mûxwy = 29. Find mû XWZ Z Y X W 13. If mûpqt = 60 and mûpqs = 4x + 14, find the value of x. 8
9 14. If m EF = 6x + 4 and m CF = 7x 2, find m EF. 15. If m 3 = 4x + 10 and m 4 = 5x, find m 4. Classify the angles below into categories. right angle acute angle obtuse angle On the worksheet Click me to go back 9
10 Name the vertex of each angle Practice Name the sides of each angle. Write another name for each angle STV WTS
11 Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree. 17. If m ED = 4x + 16 and m DC = 6x + 4, find m ED. 13. NMP, 14. OMN, 15. QMN, 16. QMO, 18. If m ED = 4x 8 and m EC = 5x + 20, find the value of x ND m EC. 19. If m DCE = 4x + 15 and m ECF = 6x 5, find m DCE. 11
12 20. If m FCG = 9x + 3 and m GC = 13x 9, find m GC. 21. Nick has a slice of cake. He wants to cut it in half, bisecting the 46 angle formed by the straight edges of the slice. What will be the measure of the angle of each of the resulting pieces? 22. Central Street runs north south and Spring Street runs east west. a) What kind of angle do Central Street and Spring Street make? 22. Central Street runs north south and Spring Street runs east west. b) Valerie is driving down Spring Street heading east. She takes a left onto River Street. What type of angle did she have to turn her car through? 12
13 23. Make use of the fact that endpoint is a compound of end and point and name the endpoint of 1. T 3. V nswers: 9. VTW , right , obtuse 17. 4x + 16 = 6x + 4, x = 6, x + 15 = 6x 5, x = 10, S 13
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