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MAFS.8.G.1.2

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.
Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand congruence and similarity using physical models, transparencies, or geometry software. (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: MC , MS item(s)
  • Also Assessed:

    MAFS.8.G.1.1 Verify experimentally the properties of rotations, reflections, and translations:

    MAFS.8.G.1.1a Lines are taken to lines, and line segments to line segments of the same length.

    MAFS.8.G.1.1b Angles are taken to angles of the same measure.

    MAFS.8.G.1.1c Parallel lines are taken to parallel lines.

  • Assessment Limits :
    The coordinate plane should not be used until MAFS.8.G.1.3. Limit sequences to no more than two transformations. A pre-image and image should not include apostrophe notation as this would give away the identification of similarity and congruence. No reference to the definition of congruence or symbols relating to the definition should be used (HS Geometry).
  • Calculator :

    Neutral

  • Context :

    Allowable

SAMPLE TEST ITEMS (2)

  • Test Item #: Sample Item 1
  • Question:

    Triangle ABC and its transformation DEF are shown.

    What transformation of triangle ABC produced triangle DEF?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

  • Test Item #: Sample Item 2
  • Question:

    Select all the sequences of transformations that always maintain congruence.

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