Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
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


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



  • Test Item #: Sample Item 1
  • Question:

    Katherine uses begin mathsize 12px style increment A B C end style, where begin mathsize 12px style stack D E with bar on top parallel to stack A C with bar on top end style to prove that a line parallel to one side of a triangle divides the other two sides proportionally. A part of her proof is shown.

    Which statement completes step 8 of the proof?

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