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# Download Geometry Unit 2 Coordinate Geometry Student Unit Overview Sheet

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Geometry Unit 2 Coordinate Geometry Student Unit Overview Sheet Kentuck Common Core Standards G-GPE-6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. G-GPE-7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. G-GPE-5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). G-CO-11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversley, rectangles are parallelograms with congruent diagonals. G-GPE-4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). Learning Targets 1. Find the point on a directed line segment between two given points that divides the segment in a given ratio (G-GPE-6) 2. Use coordinates to calculate perimeters of polygons and areas of triangle or rectangles (G-GPE7) 3. Prove the slope criteria for parallel lines and for perpendicular lines (G-GPE-5) 4. Apply parallel lines and perpendicualar lines to solve geometric problems (G-GPE-5) 5. Prove opposite sides of parallelogram are congruent. (G-CO-11) 6. Prove opposite angles of a parallelogram are congruent. (G-CO-11) 7. Prove the diagonals of a parallelogram bisect each other. (G-CO-11) 8. Prove rectangles are parallelograms with congruent diagonals. (G-CO-11) 9. Use coordinates to prove simple geometric theorems algebraically (G-GPE-4)