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Proving Triangle Congruence and Analyzing Triangle Properties

NAME DATE PERIOD 33. If AABC is isosceles with vertex angle LB, and AE = FC , which theorem or postulate can be used to prove ?AEB = ?CFB? B A SSS B SAS D AAS CASA AL E F C Use the proof for Questions 34-35. D A Given: DA || YN DA = YN Prove: 2NDY = ZDNA Proof: Y N Statements Reasons 1. DA = YN 1. Given 2. LADN = LYND 2. Alt. int. /s are @. 3. DA = YN 3. Given 4. DN = DN 4. Reflexive Property 5. ANDY = ADNA 5. (Question 10) 6. ZNDY = ZDNA 6. (Question 11) 34. What is the reason for statement 5? FASA H SAS J SSS GAAS 35. What is the reason for statement 6? A Alt. int. /s are @. B CPCTC C Corr. angles are . D Isosceles Triangle Theorem 36. What is the classification of a triangle with vertices A(3, 3), B(6, -2), and C(0, -2) by the length of its sides? F isosceles G scalene H equilateral J right For Questions 37-40, refer to the figure. 37. Name an angle bisector. A KI B G? CJM D H] AH K L 38. Name a median. F KI G G? HJM J J H] G 39. Name an altitude. A KI B G? C JM D H] 40. Name a perpendicular bisector. F KI G G? HJM J H] NAME For Questions 41-43, refer to the figure to determine which is a true statement for the given information. DATE PERIOD X W 41. YW is an angle bisector. 7 A ZYWZ is a right angle. B ZXYW = ZZYW Y C XW = WZ D XY = ZY 42. YW is an altitude. F ZYWZ is a right angle. H XW = WZ G ZXYW= ZZYW J XY = ZY 43. YW is a median. A ?YWZ is a right angle. C XW = WZ B ZXYW= ZZYW D XY = ZY 44. Name the longest side of AABC. 74 B FAB HAC G BC 45. Name the angle with greatest measure in ADEF. J cannot tell 22 84° C F A A ZD C LF B LE D cannot tell 9 7 E 3 D 46. Which of the following sets of numbers can be the lengths of the sides of a triangle? A 6, 6, 12 B 6, 7, 13 CV2, v5, v15 D 2.6, 8.1, 10.2 Determine the slope of the line that contains the given points. 47. P(-6, 3), Q(12, 9) B_1 A -3 C 1 D 3 3 3 48. M(-8, 14), N(2, -11) 5 F- 2 G_2 5 H 215 J 5 2 49. Which is an equation of the line with slope = that contains (-4, 7)?