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Showing 81 - 90 of 153 Standards

Standard Identifier: G-CO.4

Grade Range: 7–12
Domain: Congruence
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Experiment with transformations in the plane.

Standard:
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

Standard Identifier: G-CO.5

Grade Range: 7–12
Domain: Congruence
Discipline: Math I
Conceptual Category: Geometry

Cluster:
Experiment with transformations in the plane.

Standard:
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

Standard Identifier: G-CO.6

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 geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

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.

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.

Standard Identifier: 8.G.1.a

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length.

Standard Identifier: 8.G.1.b

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Angles are taken to angles of the same measure.

Standard Identifier: 8.G.1.c

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Verify experimentally the properties of rotations, reflections, and translations: Parallel lines are taken to parallel lines.

Standard Identifier: 8.G.2

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Standard Identifier: 8.G.3

Grade: 8
Domain: Geometry

Cluster:
Understand congruence and similarity using physical models, transparencies, or geometry software.

Standard:
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Showing 81 - 90 of 153 Standards


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