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Mathematics > Course Model Mathematics II (Integrated Pathway) > Similarity, Right Triangles, and Trigonometry
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Mathematics | Course : Model Mathematics II (Integrated Pathway)

Domain - Similarity, Right Triangles, and Trigonometry

Cluster - Understand similarity in terms of similarity transformations.

[MII.G-SRT.A.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.

Resources:

Predecessor Standards:

  • 8.G.A.4
    Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

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.
  • MII.G-SRT.A.1
    Verify experimentally the properties of dilations given by a center and a scale factor:
  • MII.G-SRT.A.3
    Use the properties of similarity transformations to establish the Angle-Angle (AA) criterion for two triangles to be similar.
  • MII.G-C.A.1
    Prove that all circles are similar.
  • MII.G-C.B.5
    Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.