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MAFS.912.G-SRT.2.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Similarity, Right Triangles, & Trigonometry
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Prove theorems involving similarity. (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

Remarks/Examples

Geometry - Fluency Recommendations

Fluency with the triangle congruence and similarity criteria will help students throughout their investigations of triangles, quadrilaterals, circles, parallelism, and trigonometric ratios. These criteria are necessary tools in many geometric modeling tasks.

TEST ITEM SPECIFICATIONS

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

  • Assessment Limits :
    Items may use geometric figures of any shape if the figure can be
    deconstructed to form a triangle.
  • Calculator :

    Neutral

  • Clarification :
    Students will use congruence criteria for triangles to solve problems.

    Students will use congruence criteria for triangles to prove
    relationships in geometric figures.

    Students will use similarity criteria for triangles to solve problems.

    Students will use similarity criteria for triangles to prove relationships
    in geometric figures.

  • Stimulus Attributes :
    Items may be set in a real-world or mathematical context.
  • Response Attributes :
    Items may require the student to use or choose the correct unit of
    measure.

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question:

    There are three highlights in the paragraph to show blanks in the proof. For each highlight, click on the word or phrase to fill in the blank.

  • Difficulty: N/A
  • Type: ETC: Editing Task Choice