MA.912.G.4.6Archived Standard

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Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Remarks

Example: Prove that triangles ABC and APQ are similar.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Triangles - Identify and describe various kinds of triangles (right, acute, scalene, isosceles, etc.). Define and construct altitudes, medians, and bisectors, and triangles congruent to given triangles. Prove that triangles are congruent or similar and use properties of these triangles to solve problems involving lengths and areas. Relate geometry to algebra by using coordinate geometry to determine regularity, congruence, and similarity. Understand and apply the inequality theorems of triangles.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)
    • Also Assesses:

    MA.912.D.6.4 Use methods of direct and indirect proof and determine whether a short proof is logically valid.

    MA.912.G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.
  • Clarification :
    Students will use geometric properties to justify measures and characteristics of triangles.
  • Content Limits :
    Items may require statements and/or justifications to complete formal and informal proofs.
  • Stimulus Attributes :

    Items may be set in either real-world or mathematical contexts.

    Graphics should be used in these items, as appropriate.

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    Nancy wrote a proof about the figure shown below.

     

    Which of the following correctly replaces the question mark in Nancy’s proof?

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

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