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Transcript

43 Graded questions on 2012 Geometry End of Course Exam. Area of Emphasis G.1 Logical arguments and proofs G.2 Lines and angles Item Description Determine a missing statement in a geometric proof. Determine the converse of a given statement. Determine a counterexample to a statement. Given a geometric term, find its definition. Identify a counterexample to refute an invalid statement about a geometric relationship. MC Write the converse and inverse of a given geometric proposition. SA Apply theorems about perpendicular lines. Determine what partial construction is shown in a drawing. Find the area of a special right triangle. Find the length of the missing leg of a right triangle. Determine which statement about parallelograms is true. Find the missing length of a triangle using properties of polygons. Identify conditions necessary to prove triangle congruence. Based upon a given angle measure of a polygon, determine the number of sides. CI MC MC MC MC Use a trigonometric ratio to write an expression for the missing length of the side of a triangle. Find the length of the missing side of a right triangle. Given a verbal description of the properties of a triangle, identify the type of triangle described. G.3 Two- and three-dimensional figures Item Type ** MC MC MC MC CI MC MC MC MC MC Use the properties of quadrilaterals and triangles to determine the length of a missing side of a kite. Determine the lines of symmetry of a given parallelogram. Apply theorems about circles to determine the measure of an inscribed angle in a circle. MC Given two congruent triangles, determine which statement is not necessarily true. MC Given a triangle and an exterior angle, determine a missing angle measure. Identify basic theorems about parallelograms. Using properties of quadrilaterals, find the measure of an angle of a rhombus. Know and identify the special lines, line segments, and rays associated with a triangle. Determine the missing angle of a quadrilateral. Apply the converse of the Pythagorean theorem to determine which figures are right triangles. CI MC SA MC MC MC CI MC 43 Graded questions on 2012 Geometry End of Course Exam. Use a trigonometric ratio to find the missing side length of a right triangle and apply the answer to solve a problem. Identify conditions necessary to prove triangle congruence. Given three sides of a right triangle, determine the value of a trigonometric ratio of an angle. G.4 Geometry in the coordinate plane G.5 Geometric transformations G.6 Additional Key Content G.7 Reasoning, problem solving, and communication Given the midpoint and one endpoint of a line segment, find the other endpoint. Find the coordinates of a point that lie on a line. Given a graph with three vertices of a rectangle shown, determine the coordinates of the fourth vertex. MC MC MC MC MC CI Determine what type of figure is described based upon properties of quadrilaterals. MC Given the equations for a circle and a line, determine the intersection points. MC Find the sequence of transformations that will superimpose a given figure onto a congruent figure. Solve a problem using a given measurement conversion. Find the best estimate of a group of measurements. Solve a problem involving measurement conversions. Given measurements and degrees of accuracy, determine the maximum area of a figure. Solve a problem using a given measurement conversion. Use the properties of special right triangles (30°–60°–90° and 45°–45°–90°) to solve a problem. Using properties of rectangles and triangles, find the dimensions of a rectangle. MC MC MC CI MC MC SA MC