Common Planner
K–12 Standards

Geometry: Assessment Anchors and Eligible Content

Other Pennsylvania Keystone Exams sets

Geometric Properties and ReasoningG.1

  • 1

    Properties of Circles, Spheres, and CylindersG.1.1

    1. 1

      Identify and/or use parts of circles and segments associated with circles, spheres, and cylinders. G.1.1.1

      1. 1

        Identify, determine, and/or use the radius, diameter, segment, and/or tangent of a circle.G.1.1.1.1

      2. 2

        Identify, determine, and/or use the arcs, semicircles, sectors, and/or angles of a circle.G.1.1.1.2

      3. 3

        Use chords, tangents, and secants to find missing arc measures or missing segment measures.G.1.1.1.3

      4. 4

        Identify and/or use the properties of a sphere or cylinder. G.1.1.1.4

  • 2

    Properties of Polygons and PolyhedraG.1.2

    1. 1

      Recognize and/or apply properties of angles, polygons, and polyhedra. G.1.2.1

      1. 1

        Identify and/or use properties of triangles.G.1.2.1.1

      2. 2

        Identify and/or use properties of quadrilaterals. G.1.2.1.2

      3. 3

        Identify and/or use properties of isosceles and equilateral triangles.G.1.2.1.3

      4. 4

        Identify and/or use properties of regular polygons.G.1.2.1.4

      5. 5

        Identify and/or use properties of pyramids and prisms. G.1.2.1.5

  • 3

    Congruence, Similarity, and ProofsG.1.3

    1. 1

      Use properties of congruence, correspondence, and similarity in problem‐solving settings involving two‐ and three‐ dimensional figures.G.1.3.1

      1. 1

        Identify and/or use properties of congruent and similar polygons or solids.G.1.3.1.1

      2. 2

        Identify and/or use proportional relationships in similar figures. G.1.3.1.2

    2. 2

      Write formal proofs and/or use logic statements to construct or validate arguments.G.1.3.2

      1. 1

        Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).G.1.3.2.1

Coordinate Geometry and MeasurementG.2

  • 1

    Coordinate Geometry and Right TrianglesG.2.1

    1. 1

      Solve problems involving right triangles.G.2.1.1

      1. 1

        Use the Pythagorean theorem to write and/or solve problems involving right triangles.G.2.1.1.1

      2. 2

        Use trigonometric ratios to write and/or solve problems involving right triangles.G.2.1.1.2

    2. 2

      Solve problems using analytic geometry.G.2.1.2

      1. 1

        Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane.G.2.1.2.1

      2. 2

        Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).G.2.1.2.2

      3. 3

        Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a two‐dimensional shape.G.2.1.2.3

  • 2

    Measurements of Two‐Dimensional Shapes and FiguresG.2.2

    1. 1

      Use and/or compare measurements of angles.G.2.2.1

      1. 1

        Use properties of angles formed by intersecting lines to find the measures of missing angles.G.2.2.1.1

      2. 2

        Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles.G.2.2.1.2

    2. 2

      Use and/or develop procedures to determine or describe measures of perimeter, circumference, and/or area. (May require conversions within the same system.)G.2.2.2

      1. 1

        Estimate area, perimeter, or circumference of an irregular figure.G.2.2.2.1

      2. 2

        Find the measurement of a missing length, given the perimeter, circumference, or area.G.2.2.2.2

      3. 3

        Find the side lengths of a polygon with a given perimeter to maximize the area of the polygon. G.2.2.2.3

      4. 4

        Develop and/or use strategies to estimate the area of a compound/composite figure.G.2.2.2.4

      5. 5

        Find the area of a sector of a circle.G.2.2.2.5

    3. 3

      Describe how a change in one dimension of a two‐ dimensional figure affects other measurements of that figure. G.2.2.3

      1. 1

        Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?).G.2.2.3.1

    4. 4

      Apply probability to practical situations.G.2.2.4

      1. 1

        Use area models to find probabilities.G.2.2.4.1

  • 3

    Measurements of Three‐Dimensional Shapes and FiguresG.2.3

    1. 1

      Use and/or develop procedures to determine or describe measures of surface area and/or volume. (May require conversions within the same system.)G.2.3.1

      1. 1

        Calculate the surface area of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet.G.2.3.1.1

      2. 2

        Calculate the volume of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet.G.2.3.1.2

      3. 3

        Find the measurement of a missing length given the surface area or volume.G.2.3.1.3

    2. 2

      Describe how a change in one dimension of a three‐ dimensional figure affects other measurements of that figure.G.2.3.2

      1. 1

        Describe how a change in the linear dimension of a figure affects its surface area or volume (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).G.2.3.2.1

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12

Keep exploring

Keep exploring Keystone Exams standards

Sibling grade bands, other subjects in this jurisdiction, and the same subject across other states.

Other Pennsylvania subjects

Pennsylvania