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High School Geometry Common Core Resources

Here you will find all high school geometry resources to guide and support mathematics teaching and learning.

These resources are organized by mathematical strand and refer to specific Common Core math content standards.

Quick reference: What are these tools?

Geometry: Congruence (G-CO)

Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)

  • G-SRT.1

    Verify experimentally the properties of dilations given by a center and a scale factor.

    Problems of the Month
  • G-SRT.2

    Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

    Performance Assessment Tasks
  • G-SRT.5

    Use congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures.

    Performance Assessment Tasks
  • G-SRT.6

    Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

    Performance Assessment Tasks
  • G-SRT.7

    Explain and use the relationship between the sine and cosine of complementary angles.

    Performance Assessment Tasks
  • G-SRT.8

    Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

    Performance Assessment Tasks
  • G-SRT.11

    Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).

    Problems of the Month

Geometry: Circles (G-C)

  • G-C.2

    Identify and describe relationships among angles, radii, and chords. Include the relationship between central, inscribed and circumscribes angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

    Problems of the Month
    Performance Assessment Tasks
  • G-C.3

    Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

    Problems of the Month
    Performance Assessment Tasks

Geometry: Geometric Measurement & Dimension (G-GMD)

  • G-GMD.4

    Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

    Problems of the Month

Geometry: Modeling With Geometry (G-MG)

  • G-MG.1

    Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

    Problems of the Month
  • G-MG.2

    Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

    Problems of the Month
  • G-MG.3

    Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

    Problems of the Month