Common Core Content Rubric for Mathematics: Geometry Content Basics of Geometry Skills Rubric Score Identify and model points, lines, and planes, including intersecting 4 3 2 1 Know and use the distance formula 4 3 2 1 Know and use midpoint formula 4 3 2 1 Classify angles 4 3 2 1 Identify and use angle bisector 4 3 2 1 Construct congruent segment and angle, and angle bisector 4 3 2 1 Identify and use special pairs of angles and perpendicular lines 4 3 2 1 Identify and name polygons 4 3 2 1 Find perimeter, circumference, and area of 2-D figures 4 3 2 1 Content Reasoning and Proof Skills Rubric Score Identify and use basic postulates about points, lines, and planes 4 3 2 1 Write proofs involving segments 4 3 2 1 Write proofs involving angles 4 3 2 1 Content Lines Skills Rubric Score Identify the relationship between two lines or two planes 4 3 2 1 Use theorems to determine the relationships between specific pairs of angles 4 3 2 1 Find the slops of lines, and use slope to identify parallel and perpendicular lines 4 3 2 1 Write the equation of a line using given information 4 3 2 1 Use the converse of angle pair relationships 4 3 2 1 Construct perpendicular lines, perpendicular bisector, and parallel lines 4 3 2 1 Content Triangles Skills Rubric Score Identify and classify triangles by angle measures and side measures 4 3 2 1 Apply triangle theorems 4 3 2 1 Name and use corresponding parts of congruent polygons 4 3 2 1 Prove triangles congruent using the definition of congruence 4 3 2 1 Use SSS and SAS to prove triangles congruent 4 3 2 1 Use ASA, AAS, and HL to prove triangles congruent 4 3 2 1 Use properties of isosceles and equilateral triangles 4 3 2 1 Construct equilateral triangle 4 3 2 1 Write triangle coordinate proof 4 3 2 1 Identify and use perpendicular bisectors and angle bisectors 4 3 2 1 Identify and use medians and altitudes 4 3 2 1 Construct inscribed and circumscribed circles of a triangle 4 3 2 1 Content Quadrilaterals Skills Rubric Score Find and use the sum of the measures of polygons 4 3 2 1 Recognize and apply the properties of parallelograms 4 3 2 1 Prove a quadrilateral is a parallelogram, including coordinate proof 4 3 2 1 Recognize and apply properties of rectangles, rhombi, and squares 4 3 2 1 Recognize and apply properties of trapezoids and kites 4 3 2 1 Find the area of special quadrilaterals including using coordinates 4 3 2 1 Construct a square 4 3 2 1 Content Proportions and Similarity Skills Rubric Score Partition a directed line segment into given ratio 4 3 2 1 Use proportions to identify similar polygons 4 3 2 1 Solve problems using the properties of similar polygons 4 3 2 1 Prove triangles similar using AA, SSS, and SAS 4 3 2 1 Use proportional parts within triangles with parallel lines 4 3 2 1 Recognize and use proportional relationships of corresponding 4 3 2 1 Use scale factors to solve problems 4 3 2 1 Find the area of similar figures using scale factors 4 3 2 1 segments of similar triangles Content Right Triangles Skills Rubric Score 4 3 2 1 Use Pythagorean Theorem and its converse 4 3 2 1 Use properties of special right triangles 4 3 2 1 Use trigonometric ratios to find missing parts in a right triangle 4 3 2 1 Solve problems using trigonometry 4 3 2 1 Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse. Content Transformations Skills Rubric Score Draw and represent reflections including in the coordinate plane 4 3 2 1 Draw translations and represent including in the coordinate plane 4 3 2 1 Draw rotations and represent including in the coordinate plane 4 3 2 1 Draw composition of isometries in a coordinate plane 4 3 2 1 Identify line and rotational symmetries 4 3 2 1 Draw and represent dilations including in the coordinate plane 4 3 2 1 Analyze transformations 4 3 2 1 Verify congruence or similarity after transformations 4 3 2 1 Content Circles Skills Rubric Score Identify and use parts of circles, including finding measures of arcs and angles 4 3 2 1 Find arc length 4 3 2 1 Find sector area 4 3 2 1 Recognize and use relationships between arcs, chords, and diameters 4 3 2 1 Find measures of inscribed angles and angles in inscribed polygons 4 3 2 1 Use properties of tangents 4 3 2 1 Find measures of angles formed by lines intersecting on, inside, or outside the circle 4 3 2 1 Find measures of segments the intersect in the interior or exterior of the circle 4 3 2 1 Write equation of a circle and graph a circle 4 3 2 1 Construct a regular hexagon in a circle 4 3 2 1 Content Skills Rubric Score 4 3 2 1 Dimensional Use surface area to solve problems for prisms, cylinders, pyramids, cones, and sphere 4 3 2 1 Space 4 3 2 1 Three Investigate cross sections of 3-D figures Use volume to solve problems for prisms, cylinders, pyramids, cones, and sphere

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# content rubric geometry common core