Geometry B Name:_____________________ Date: ____________ Block: ________ Chapter 2: Geometric Reasoning: Section 2.5: Algebraic Proofs 1) Amy’s favorite breakfast cereal has 102 Calories per serving. The equation C = 9f + 90 relates the grams of fat f in one serving to the Calories C in one serving. How many grams of fat are in one serving of the cereal? Solve the equation for f and justify each step. 2) The equation C = $5.75 + $0.89m relates the number of movie rentals m to the monthly cost C of a movie club membership. How many movies did Elias rent this month if his membership cost $11.98? Solve the equation for m and justify each step. 3) Identify the property that justifies each statement. m∠1 = m∠2, and m∠2 = m∠4. So m∠1 = m∠4 x = y, so y = x AB ≅ AB ST ≅ YZ, and YZ ≅ PR. So, ST ≅ PR. 4) Solve each equation. Write a justification for each step. y+1=5 0 = 2 (r - 3) + 4 Geometry B 5) Use the indicated property to complete each statement. Reflexive Property of Equality: 3x - 1 = ______________ Transitive Property of Congruence: If ∠ A ≅ ∠ X and ∠ X ≅ ∠T, then _______________ Symmetric Property of Congruence: If BC ≅NP, then __________________ 6) Solve each equation. Write a justification for each step. 5x - 3 = 4 (x + 2) 9y + 17 = -19 - (h + 3) = 72 - 2 = -10 7) Write a justification for each step. smilardo.wordpress.com - homework: worksheets: link to book and more