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MAFS.912.G-SRT.1.2

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.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Similarity, Right Triangles, & Trigonometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand similarity in terms of similarity transformations. (Geometry - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark may be assessed using: MS item(s)

  • Assessment Limits :
    Items may require the student to be familiar with using the algebraic
    description begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis x plus a comma y plus b right parenthesis end style for a translation, and
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis k x comma k y right parenthesis end style for a dilation when given the center of dilation.
    Items may require the student to be familiar with the algebraic
    description for a 90-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis negative y comma x right parenthesis end style, for a 180-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis negative x comma negative y right parenthesis end style , and for a 270-degree rotation about the origin,
    begin mathsize 12px style left parenthesis x comma y right parenthesis rightwards arrow left parenthesis y comma negative x right parenthesis end style . Items that use more than one transformation may
    ask the student to write a series of algebraic descriptions.
  • Calculator :

    Neutral

  • Clarification :
    Students will use the definition of similarity in terms of similarity
    transformations to decide if two figures are similar.

    Students will explain using the definition of similarity in terms of
    similarity transformations that corresponding angles of two figures
    are congruent and that corresponding sides of two figures are
    proportional.

  • Stimulus Attributes :
    Items may be set in a real-world or mathematical context
  • Response Attributes :
    Items may ask the student to determine if given information is
    sufficient to determine similarity.

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question:

    Triangle RTV is shown on the graph.

    Triangle R'T'V' is formed using the transformation (0.2x, 0.2y) centered at (0,0).

    Select the three equations that show the correct relationship between the two triangles based on the transformation.

     

     

  • Difficulty: N/A
  • Type: MS: Multiselect