Geometry Inequality Theorems Quiz
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Questions and Answers

What is the condition for creating a triangle with three line segments?

  • The lengths of one line segment must be longer than the lengths of the other two line segments combined.
  • The lengths of all line segments must be equal.
  • None of the lengths of line segments are longer than the lengths of the other two line segments combined. (correct)
  • The lengths of two line segments must be equal.

What is the value of x that will make lines m and n parallel, given the angles and their measures?

  • x = 10
  • x = 6
  • x = 8 (correct)
  • x = 12

What is the value of y in the equation /BEC = 2y + 3, given the angle measures?

  • y = 90
  • y = 77.5 (correct)
  • y = 43.5
  • y = 55

What type of angle pair is 21 and 28, given the transversal line?

<p>Supplementary angles (B)</p> Signup and view all the answers

What is the correct conclusion about the two triangles, given the angle measures and side lengths?

<p>mZREA = mZCEA (C)</p> Signup and view all the answers

What is the inequality theorem that states S1 + S2 > S3 for one triangle?

<p>Triangle Inequality Theorem 3 (C)</p> Signup and view all the answers

Which of the following is a correct conclusion about the triangles in figure 12?

<p>ET &gt; IT (C)</p> Signup and view all the answers

What is the theorem that justifies the conclusion in item number 19?

<p>Triangle Inequality Theorem 1 (D)</p> Signup and view all the answers

Which of the following pairs of angles are vertical angles where lines a || b and cut by transversal t?

<p>25 and 22 (A)</p> Signup and view all the answers

What is the range of possible lengths of the third side of a triangle with sides of 17 and 20 units?

<p>between 4 and 21 (D)</p> Signup and view all the answers

Can we form a triangle with line segments that have lengths of 5, 6, and 9 units?

<p>No, because the line segments don't satisfy the triangle inequality theorem (C)</p> Signup and view all the answers
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