University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2023
Views:

189

Pages:

1
Author:

Cale Mejia

Use the given property to complete each statement. Symmetric Property of Equality: If MN = LT, then LT = MN. Division Property of Equality: If 4m∠QWR = 120, then ∠QWR = 30. Transitive Property of Equality: If SB = VT and VT = MN, then SB = MN. Addition Property of Equality: If x - 15 = 36, then x = 51. Reflexive Property of Congruence: ∠JL ≅ ∠JL. Give a reason for each step. 7x + 10 = 14 7x = 4 (subtract 10) x = 4/7 (divide by 7) 0.25x + 12 = 39 0.25x = 27 (subtract 12) 2.25x = 2700 (multiply by 9) x = 12 (divide by 2.25) Name the property that justifies each statement. If m∠G = 35 and m∠S = 35, then m∠G ≅ m∠S. Substitution If 10x + 6y = 14 and x = 2y, then 10(2y) + 6y = 14. Substitution If TR = MN and MN = VW, then TR = VW. Transitive If JK ≅ LM, then LM ≅ JK. Symmetric If ∠Q ≅ ∠S and ∠S ≅ ∠P, then ∠Q ≅ ∠P. Transitive Fill in the missing information. Solve for x, and justify each step. ∠QWT + ∠TWX = 90 (2x + 6)° + (x + 6)° = 90 3x + 12 = 90 3x = 78 x = 26 KL = 3(PM) 5x = 3(2x - 4) 5x = 6x - 12 -x = -12 x = 12