Standards Map

Mathematics > Course Model Mathematics I (Integrated Pathway) > Congruence
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Congruence

Cluster - Experiment with transformations in the plane.

[MI.G-CO.A.5] - 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.

Resources:


  • Reflection
    A type of transformation that flips points about a line, called the line of reflection. Taken together, the image and the pre-image have the line of reflection as a line of symmetry.
  • Rotation
    A type of transformation that turns a figure about a fixed point, called the center of rotation.
  • Transformation
    A prescription, or rule, that sets up a one-to-one correspondence between the points in a geometric object (the pre-image) and the points in another geometric object (the image). Reflections, rotations, translations, and dilations are particular examples of transformations.
  • Translation
    A type of transformation that moves every point in a graph or geometric figure by the same distance in the same direction without a change in orientation or size.

Predecessor Standards:

  • 8.G.A.2
    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.
  • 8.G.A.3
    Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.G-CO.A.3
    Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
  • MI.G-CO.A.4
    Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
  • MI.G-CO.B.6
    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.
  • MII.G-CO.C.9
    Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent, and conversely prove lines are parallel; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
  • MII.G-SRT.A.1
    Verify experimentally the properties of dilations given by a center and a scale factor: