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Geometry U.5 Learning Targets and Review Quadrilaterals and Coordinate Proof A1 I can apply theorems and properties of parallelograms. 1. Given that ABCD is a parallelogram, solve: a) b) c) d) A2 I can prove theorems about parallelograms. 2) Write a 2-column prove based on theorems about parallel lines and congruent triangles to show the reason opposite angles are supplementary. 3) Find values for the variables that prove the quadrilateral is a parallelogram. a) b) 4) Which of the following is not a parallelogram? Explain your thinking. A3I can classify quadrilaterals, making use of coordinate geometry (slope, midpoint, distance formulas) to justify the classification. 1) B6 I can distinguish situations in which there is exactly one solution from those in which there is no solution or in which there are infinitely many. 1) How many solutions are there to each of the following systems of equations? How do you know? a) b) c) B2 I can solve systems of linear equations with graphs of the equations. B5 I can identify the solution to a linear system as the ordered pair(s) where the lines cross or as the pair that satisfies each equation in the system. 1) Solve by graphing and identifying the solution as a coordinate point. (x, y) a) b) B3 I can solve systems of linear equations with substitution. 1. Solve by substitution. Write your answer as an ordered pair. a) b) B4 I can solve systems of linear equations with elimination. B1 I can show that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. 1) Solve by elimination. Write your answer as an ordered pair. a) b) 2) Which is the most efficient method for solving each system of equations? Choose and then solve. a) b) B7 I can represent contextual situations with a linear system to solve real world problems. 1) Solve these applications. First, read through the question. Then choose variables and explain what they stand for in the question. Now write equations for the information given, choose your method and solve. Your answer should be clearly written and related to the context of the problem. a) b) c) Extension and Challenge Problems