MA.912.G.4.7Archived Standard

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Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Remarks

Example: Can you draw a triangle with sides of length 7 cm, 4 cm, and 15 cm?  Explain your answer.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Idea: Level 2: Basic Application of Skills & Concepts
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 2: Basic Application of Skills & Concepts - 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)

  • Clarification :
    Students will apply the inequality theorems to determine relationships about sides and angles within a triangle and between triangles.
  • Content Limits :
    Items may assess methods of proving triangles congruent.
  • Stimulus Attributes :

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

    Graphics should be used in these items, as appropriate.

Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question:

    A surveyor took some measurements across a river, as shown below. In the diagram, AC = DF and AB =DE.

     

    The surveyor determined that m∠BAC = 29 and m∠EDF = 32.Which of the following can he conclude?

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question:

    Kristin has two dogs, Buddy and Socks. She stands at point K in the diagram and throws two disks. Buddy catches one at point B, which is 11 meters (m) from Kristin. Socks catches the other at point S, which is 6 m from Kristin.

     

    If KSB forms a triangle, which could be the length, in meters, of segment SB?

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

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