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MAFS.912.G-CO.2.8

Explain how the criteria for triangle congruence (ASA, SAS, SSS, and Hypotenuse-Leg) follow from the definition of congruence in terms of rigid motions.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Congruence
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand congruence in terms of rigid motions. (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: item(s)
  • Assessed with:
    MAFS.912.G-CO.2.6

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question:

    Triangles BKW and DMT are shown where angle B approximately equal to angle D comma space angle K approximately equal to angle T comma space stack B K with bar on topapproximately equal to stack D T with bar on top

    This question has three parts.

    Rashhaad performs a sequence of transformations on begin mathsize 12px style increment B K W end style to map it to begin mathsize 12px style increment D T M end style.

    Part A. Which sequence of transformations could be used to map begin mathsize 12px style increment B K W end style to begin mathsize 12px style increment D T M end style?

    Part B. The coordinate grid below shows three triangles that could be an intermediate step of Rashaad's sequence of transformations.

    Step 1: Use the Add Arrow tool to map the vertices of begin mathsize 12px style increment B K W end style to show the translation (s) chosen in part A.

    Step 2: Then, label the transformed triangle by dragging B',K', and W' to the correct vertex.

    Part C.

    Rashaad wants to justify that angle B approximately equal to angle D comma space angle K approximately equal to angle T comma space stack B K with bar on topapproximately equal to stack D T with bar on top are sufficient to show that the triangles are congruent.

    Select words, phrases or equations to complete Rashaad's justification.

  • Difficulty: N/A
  • Type: : Multiple Types