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Geometry 1: Quadrilateral Review Name ______________________________________ Period _______________ Date _________________ I. Learning Target: I can prove theorems about parallelograms. 1. JKLM is a parallelogram. Solve for x and y. 2. Use the figure to answer the questions below. Part A: Give the most descriptive name for the figure. Justify your answer. Part B: Solve for x. Part C: Find the length of the shorter sides. Geometry 1 Unit 5 Polygons 6/3/13 PUHSD Geometry Curriculum Team 3. Complete the steps of this proof. II. G-CO.13 I can construct polygons incscribed in a circle. Given: parallelogram ABCD Prove: 4. Given the following circle, use a compass and a straightedge to construct a regular hexagon. Leave all your construction marks. Label the vertices. ACE DEB Statements 1. Parallelogram ABCD 2. AB CD and AC BD 3. BAD CDA and Reasons 1. ? 2. ? 3.? CAD BDA 4. AD AD 5. ACE DEB 4.? 5.? Reason 1 __________________________________________ __________________________________________ Reason 2 __________________________________________ __________________________________________ Reason 3 __________________________________________ __________________________________________ Reason 4 __________________________________________ __________________________________________ Reason 5 __________________________________________ __________________________________________ 5. Given the following circle, use a compass and a straightedge to inscribe a square. Label the vertices. G-GPE.4 I can use coordinates to prove simple geometric theorems algebraically. Part B: What are the slopes of each side of the quadrilateral? Show your work. 6. The coordinates of the vertices of a quadrilateral are A (2,2) B (0,0) C (5,-5) and D (7,-3) Part A: How long is each side of the quadrilateral? Show your work. Part C: What type of quadrilateral is it? Explain your reasoning.