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Transcript
4.1 classifying triangles ink.notebook ch 9 Transformations page 118 fill in your pretest and post test results Page 142 October 26, 2016 Post test Pretest number correct: total number of problems: number correct: total number of problems: Percentage correct: Percentage correct: difference Change in percentage: original Page 143 = Page 144 ch 4 Congruent Triangles 4.1 Classify Triangles 1 4.1 classifying triangles ink.notebook October 26, 2016 Lesson Objectives Lesson Objectives Standards Standards Lesson Notes Lesson Notes 4.1 Classifying Triangles After this lesson, you should be able to successfully be able to classify triangles by both sides and angles and use this knowledge to find missing parts of the triangle. Press the tabs to view details. Press the tabs to view details. Lesson Objectives Standards Lesson Notes If _____________ of the ANGLES of a triangle are _____ angles, then the triangle is an _______ triangle. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. If _____ of the angles of a triangle is a _______ angle, then the triangle is a _______ triangle. If _____ of the angles of a triangle is an ________ angle, then the triangle is an ________ triangle. Press the tabs to view details. 2 4.1 classifying triangles ink.notebook October 26, 2016 If ___________ SIDES of a triangle are ____________, then the triangle is an ____________ triangle. (can also be considered _________________.) If ___ _______ _____ sides of a triangle are congruent, then the triangle is a ___________ triangle. If ___ _____ sides of a triangle are congruent, then the triangle is a ___________ triangle. If all three angles of an acute triangle are ____________, then the triangle is an _______________ triangle Each angle measures _____ 3 4.1 classifying triangles ink.notebook October 26, 2016 Classify each triangle as acute, equiangular, obtuse, or right. A a) b) c) G E 90° 120° 60° D B 35° 25° F H C 60° 30° Classify each triangle as equilateral, isosceles, or scalene. N H f) e) d) T 23 L P R J X 15 J 12 V Classify each triangle by its angles and sides. g) h) N B 30° O 120° P 32x 8x A 32x C Q i) A j) 60° R 30° 60° 60° 2 S G 1 C 4 4.1 classifying triangles ink.notebook October 26, 2016 1. Find x and the length of each side if ΔRST is an equilateral triangle. Write an equation and show all work. R 5x 4 2x + 2 S T 3x 2. Find x and the length of each side if ΔABC is isosceles with AB = BC. Write an equation and show all work. B 3y + 2 4y A 3y C On the Worksheet 5 4.1 classifying triangles ink.notebook October 26, 2016 Classify each triangle as acute, equiangular, obtuse, or right. PRACTICE Classify each triangle as acute, equiangular, obtuse, or right. 3. Classify each triangle as acute, equiangular, obtuse, or right. 5. 6. 6 4.1 classifying triangles ink.notebook Classify each triangle as equilateral, isosceles, or scalene. 7. èABE 8. èEDB October 26, 2016 Classify each triangle in the figure at the right by its angles and sides. 11. èABD 12. èABC 9. èEBC 13. èEDC 10. èDBC 14. èBDC 7 4.1 classifying triangles ink.notebook 17. Find x and the length of each side if ΔRST is an isosceles triangle with October 26, 2016 For each triangle, find x AND the measure of each side. 18. ΔFGH is an equilateral triangle with FG = x + 5, GH = 3x − 9, and FH = 2x − 2. For each triangle, find x AND the measure of each side. 19. ΔLMN is an isosceles triangle, with LM = LN, LM = 3x − 2, LN = 2x + 1, and MN = 5x − 2. Find the measures of the sides of ΔKPL and classify each triangle by its sides. 20. K(−3, 2), P(2, 1), L(−2, −3) y x 8 4.1 classifying triangles ink.notebook October 26, 2016 Find the measures of the sides of ΔKPL and classify each triangle by its sides. Find the measures of the sides of ΔKPL and classify each triangle by its sides. 21. K(5, −3), P(3, 4), L(−1, 1) 22. K(−2, −6), P(−4, 0), L(3, −1) y y x x Answers: 1. Equiangular 3. Right 5. Obtuse 7. Scalene 9. Scalene 11. Equiangular, equilateral 13. right, scalene 15. 4x – 3 = 2x + 5, x = 4 17. 9x + 2 = 6x + 8, x = 2 19. 3x – 2 = 2x + 1, x = 3, LM = 7, LN = 7, MN = 13 #’s 12 – 14, 57 – 59, 65, 68, y 21. PG 238 – 242: P 78 – 85 L x K 9 4.1 classifying triangles ink.notebook October 26, 2016 10 4.1 classifying triangles ink.notebook October 26, 2016 11