Mathematics Standards
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Circles
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Congruence
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Geometric Measurement and Dimension
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Modeling with Geometry
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Ratios and Proportional Relationships
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Showing 21 - 30 of 64 Standards
Standard Identifier: G-CO.7
Grade Range:
7–12
Domain:
Congruence
Discipline:
Math I
Conceptual Category:
Geometry
Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Standard Identifier: G-CO.8
Grade Range:
7–12
Domain:
Congruence
Discipline:
Math I
Conceptual Category:
Geometry
Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Standard Identifier: G-C.1
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Standard Identifier: G-C.1
Grade Range:
8–12
Domain:
Circles
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Understand and apply theorems about circles.
Standard:
Prove that all circles are similar.
Standard Identifier: G-C.2
Grade Range:
8–12
Domain:
Circles
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed 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.
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed 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.
Standard Identifier: G-C.2
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed 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.
Understand and apply theorems about circles.
Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed 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.
Standard Identifier: G-C.3
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Understand and apply theorems about circles.
Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Standard Identifier: G-C.3
Grade Range:
8–12
Domain:
Circles
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Understand and apply theorems about circles.
Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Standard Identifier: G-C.4
Grade Range:
8–12
Domain:
Circles
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.
Understand and apply theorems about circles.
Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.
Standard Identifier: G-C.4
Grade Range:
8–12
Domain:
Circles
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand and apply theorems about circles.
Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.
Understand and apply theorems about circles.
Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.
Showing 21 - 30 of 64 Standards
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